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Quiz Instructions This exam consists of 25 multiple choice-(Answered)

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Quiz Instructions

This exam consists of 25 multiple choice questions, 10 true/false questions, and 21 numerical response questions.

Once you open the exam, you will have 4 hours (240 minutes) to complete it. The exam MUST be completed in 4 hours. You may use your book, notes, and online material for this exam. You may NOT, however, get any help from another person. Ninety minutes should be an adequate amount of time to comfortably complete this exam.?You will run out of time if you try to look up the answer to each problem!

You are welcome to use Excel for the calculation problems.?Be sure to round answers to at least two decimals!?You will not get credit for the answer 3.1 if the actual answer is 3.1157, but you would get credit for 3.12, 3.116, or 3.1157.

DO NOT?use Internet Explorer to take this exam. You should use Mozilla Firefox or Google Chrome.

Note: this is a timed quiz. You may check the remaining time you have at any point while taking the quiz by pressing the keyboard combination SHIFT, ALT, and T... Again: SHIFT, ALT, and T...? Flag this Question Question 11?pts The mathematical science that deals with the collection, analysis, and presentation of data is
Economics
Statistics
Mathematical analysis
Data analysis
? Flag this Question Question 21?pts Sampling error is the difference between the __________ and the parameter.
Statistic
None of the above
Sample mode
Sample
? Flag this Question Question 31?pts The __________ is the probability distribution used in place of the normal distribution to calculate a confidence interval when the population standard deviation is unknown.
Exponential distribution
Binomial distribution
Uniform distribution
Student's t-distribution
? Flag this Question Question 41?pts A __________ is a distribution in which the probability of any interval occurring is equal to any other interval with the same width.
Student's t-distribution
Normal distribution
Uniform distribution
Binomial distribution
? Flag this Question Question 51?pts The number of rushing touchdowns for the Minnesota Vikings in a season is an example of
Interval data
Ratio data
Ordinal data
Nominal data
? Flag this Question Question 61?pts Which is a continuous random variable?
The number of students in an ECO 250 class.
The hourly earnings of a call center employee in Boston.
The number of fives obtained in four rolls of a die.
The number of births in a hospital on a given day.
? Flag this Question Question 71?pts The empirical rule states if a distribution is symmetrical and bell-shaped, approximately 68%, 95%, and _______ of its data values will fall within one, two, and three standard deviations above and below the mean, respectively.
99%
99.5%
99.7%
98%
? Flag this Question Question 81?pts __________ is the probability that the interval estimate will include the population parameter of interest, such as a mean.
Degrees of freedom
Significance level
Confidence level
Margin of error
? Flag this Question Question 91?pts The __________ is a variable that represents the probability that any given confidence interval will not contain the true population mean.
Significance level
Degrees of freedom
Margin of error
Confidence level
? Flag this Question Question 101?pts What is an error that occurs when the null hypothesis is rejected when, in reality, it is true?
Sampling error
Type II error
None of the above
Type I error
? Flag this Question Question 111?pts Which is a time series variable?
VISA balances of 30 students on December 31 of this year.
Titles of the top 10 movies in total revenue last week
Net earnings reported by Xena Corp for the last 10 quarters.
Dollar exchange rates yesterday against 10 other world currencies
? Flag this Question Question 121?pts A tire company performs quality-control tests on the monthly output of its best-selling model tire at each of its plants. Each month a random sample of 25 tires is selected from each plant and tested to see if the average tread life of that plant?s tires is above specifications. For one plant, the random sample of 25 tires had a sample mean of 39,500 miles and a sample standard deviation of 3,300 miles. The company performs a hypothesis test at the .05 level of significance to see if there is evidence that the average tread life is greater than 38,000. Based on this sample, the company should:
Reject the null hypothesis and conclude there is evidence that the average tread life is greater than 38,000 miles.
Fail to reject the null hypothesis and conclude there is evidence that the average tread life is greater than 38,000 miles
Fail to reject the null hypothesis and conclude there is not evidence that the average tread life is greater than 38,000 miles.
Reject the null hypothesis and conclude there is not evidence that the average tread life is greater than 38,000 miles.
? Flag this Question Question 131?pts What is the probability of observing a sample mean at least as extreme as the one selected for the hypothesis test, assuming the null hypothesis is true?
Alpha
Beta
Confidence level
p-value
? Flag this Question Question 141?pts Which is?not?a characteristic of a binomial experiment?
Each trial has only two possible outcomes: a success or a failure
Each trial is independent of the other trials in the experiment
The experiment consists of an infinite number of trials.
The probability of success is equal to one minus the probability of failure
? Flag this Question Question 151?pts A __________ is a continuous distribution that is bell shaped and symmetrical around the mean.
Binomial distribution
Uniform distribution
Normal distribution
Exponential distribution
? Flag this Question Question 161?pts The critical z-score for an 85% confidence level is ________.
1.96
1.44
1.28
2.33
? Flag this Question Question 171?pts YouTube would like to test the hypothesis that the average length of an online video watched by a user is more than 6 minutes. A random sample of 40 people watched online videos that averaged 6.6 minutes in length. The population standard deviation for the length of online videos is 1.7 minutes. YouTube would like to set??=0.05. The?p-value for this hypothesis test would be _________.
0.0644
0.0129
0.0268
0.0395
? Flag this Question Question 181?pts A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics exam is equal to 45 minutes. The correct hypothesis statement would be


?


?


?

? Flag this Question Question 191?pts What should you do when the?p-value is less than the significance level?
Fail to reject the null hypothesis
Reject the null hypothesis
Accept the alternative hypothesis
Accept the null hypothesis
? Flag this Question Question 201?pts Consider the following set of numbers: 10, 25, 13, 18, 40, 5. Determine the median and variance of these data.
median = 15.5, variance = 35
median = 18.5, variance = 473.83
median = 15.5, variance = 157.9
median = 18.5, variance = 12.57
? Flag this Question Question 211?pts A point estimate, also called a statistic, is a single value that describes the population of interest, with the sample mean being the most common.
True
False
? Flag this Question Question 221?pts The margin of error is the width of the confidence interval between the lower limit and the upper limit.
True
False
? Flag this Question Question 231?pts The alternative hypothesis represents the status quo and involves stating the belief that the population parameter is??a specific value and is always associated with the equal sign.
True
False
? Flag this Question Question 241?pts A z-score measures the number of standard deviations a value is from its mode.
True
False
? Flag this Question Question 251?pts Suppose Nike's average stock price this year is $15.00 with a standard deviation of $3.00, and Under Armour's average stock price this year is $24.00 with a standard deviation of $4.00. According to this data, Nike's stock price is more consistent than Under Armour's stock price.
True
False
? Flag this Question Question 261?pts The Central Limit Theorem states that sample means, drawn from a normally distributed population, will be normally distributed.
True
False
? Flag this Question Question 271?pts A low?p-value indicates a high probability that the null hypothesis is not true.
True
False
? Flag this Question Question 281?pts If the absolute value of the test statistic is less than the critical value in a two-tailed hypothesis test, then the decision is to reject the null hypothesis.
True
False
? Flag this Question Question 291?pts

Consider the hypotheses

H0: Defendant is innocent
H1: Defendant is guilty

If a court acquits every defendant, they will never commit Type II error.

True
False
? Flag this Question Question 301?pts If we do not have evidence to support the alternative hypothesis, then we accept the null hypothesis.
True
False
? Flag this Question Question 311?pts Suppose the average puppy weighs 10 pounds. A sample of 10 puppies yields a sample mean of 13.2 pounds and a sample standard deviation of 2.78 pounds.?Assume the population standard deviation is known to be 5.25.You want to test whether the sample mean differs from the population mean of 10 pounds at a 5 percent level of significance using a two-tailed test. What are your null and alternative hypotheses?


?

? Flag this Question Question 323?pts Suppose the average puppy weighs 10 pounds. A sample of 10 puppies yields a sample mean of 13.2 pounds and a sample standard deviation of 2.78 pounds.?Assume the population standard deviation is known to be 5.25.You want to test whether the sample mean differs from the population mean of 10 pounds at a 5 percent level of significance using a two-tailed test. Calculate the test statistic for the sample data. ? Flag this Question Question 333?pts Suppose the average puppy weighs 10 pounds. A sample of 10 puppies yields a sample mean of 13.2 pounds and a sample standard deviation of 2.78 pounds.?Assume the population standard deviation is known to be 5.25.You want to test whether the sample mean differs from the population mean of 10 pounds at a 5 percent level of significance using a two-tailed test. State the critical value. ? Flag this Question Question 341?pts Suppose the average puppy weighs 10 pounds. A sample of 10 puppies yields a sample mean of 13.2 pounds and a sample standard deviation of 2.78 pounds.?Assume the population standard deviation is known to be 5.25.You want to test whether the sample mean differs from the population mean of 10 pounds at a 5 percent level of significance using a two-tailed test. Determine whether or not the null hypothesis should be rejected.
Reject the null hypothesis.
Fail to reject the null hypothesis.
? Flag this Question Question 353?pts

Consider the following data on the number of beers consumed by a sample of football fans during a game:

3 ? ?5 ? ?0 ? ?2 ? ?5 ? ?3.

?

Calculate the mean number of beers.

? Flag this Question Question 363?pts

Consider the following data on the number of beers consumed by a sample of football fans during a game:

3 ? ?5 ? ?0 ? ?2 ? ?5 ? ?3.

?

Calculate the median.

? Flag this Question Question 373?pts

Consider the following data on the number of beers consumed by a sample of football fans during a game:

3 ? ?5 ? ?0 ? ?2 ? ?5 ? ?3.

Calculate the mode (mark all that apply).

5
0
2
3
? Flag this Question Question 383?pts

Consider the following data on the number of beers consumed by a sample of football fans during a game:

3 ? ?5 ? ?0 ? ?2 ? ?5 ? ?3.

Calculate the variance.

? Flag this Question Question 393?pts You check the weather forecast every morning. On average, it is rainy 20 percent of the time. Consider the next 5 days. What is the probability it will be rainy exactly 1 day? ? Flag this Question Question 403?pts You check the weather forecast every morning. On average, it is rainy 20 percent of the time. Consider the next 5 days. What is the probability it will be rainy at most 2 days? ? Flag this Question Question 413?pts The average batter life of the iPhone 4S is reported to be 6.0 hours by Apple. Assume that the population standard deviation for the better life for this cell phone is 30 minutes. A random sample of 50 iPhones had an average better life of 5.7 hours. Determine the margin of error (in hours) for the 90% confidence interval for this sample. ? Flag this Question Question 423?pts The average batter life of the iPhone 4S is reported to be 6.0 hours by Apple. Assume that the population standard deviation for the better life for this cell phone is 30 minutes. A random sample of 50 iPhones had an average better life of 5.7 hours. Determine the lower confidence limit (LCL), in hours, for the 90% confidence interval for this sample. ? Flag this Question Question 433?pts The average batter life of the iPhone 4S is reported to be 6.0 hours by Apple. Assume that the population standard deviation for the better life for this cell phone is 30 minutes. A random sample of 50 iPhones had an average better life of 5.7 hours. Determine the upper confidence limit (UCL), in hours, for the 90% confidence interval for this sample. ? Flag this Question Question 443?pts

Consider the following discrete probability distribution.

? ? X ? ? ? ? P(X) ? ?
0 0.2
1 0.3
2 0.4
3 0.1
Total 1.0

Calculate the mean of this distribution.

? Flag this Question Question 453?pts

Consider the following discrete probability distribution.

? ? X ? ? ? ? P(X) ? ?
0 0.2
1 0.3
2 0.4
3 0.1
Total 1.0

Calculate the variance?of this distribution.

? Flag this Question Question 463?pts

The commute time to work for a particular employee follows a continuous uniform distribution with a minimum time of 9 minutes and a maximum time of 25 minutes.

What is the mean of this distribution?

? Flag this Question Question 473?pts

The commute time to work for a particular employee follows a continuous uniform distribution with a minimum time of 9 minutes and a maximum time of 25 minutes.

What is the probability that the employee's next commute to work will require less than 10 minutes?

? Flag this Question Question 483?pts

The commute time to work for a particular employee follows a continuous uniform distribution with a minimum time of 9 minutes and a maximum time of 25 minutes.

What is the probability that the employee's next commute time will require between 12 minutes and 20 minutes?

? Flag this Question Question 493?pts

Consider the following hypothesis:


H1:?>25

Given that??calculate the test statistic.

? Flag this Question Question 503?pts

Consider the following hypothesis:


H1:?>25

Given that??state the critical value.

? Flag this Question Question 511?pts

Consider the following hypothesis:


H1:?>25

Given that??determine whether or not the null hypothesis should be rejected.

Reject the null hypothesis
Fail to reject the null hypothesis
? Flag this Question Question 521?pts A tire manufacturer selected a random sample of 50 tires of a particular model chosen from the past month?s production and used destructive testing to determine the tread life of each tire. The sample mean was 42,300 miles and the sample standard deviation was 7,500 miles. What is the 95% confidence interval estimate for the tread life of that entire model produced in the past month?
? Flag this Question Question 533?pts

Suppose the average number of complaints received by Christiana Hospital from patients is 7.4 every four weeks. Assume the number of complaints per month follows the Poisson distribution.

What is the probability of?exactly four complaints during the next four weeks?

? Flag this Question Question 543?pts

Suppose the average number of complaints received by Christiana Hospital from patients is 7.4 every four weeks. Assume the number of complaints per month follows the Poisson distribution.

What is the probability of?four or more complaints during the next four weeks?

? Flag this Question Question 553?pts

Suppose the average number of complaints received by Christiana Hospital from patients is 7.4 every four weeks. Assume the number of complaints per month follows the Poisson distribution.

What is the probability of exactly three complaints during the next two weeks?

? Flag this Question Question 563?pts Zombies eat, on average, 5 brains per day. Assume the actual number of brains eaten per day follows the normal distribution with a standard deviation of 0.29 brains. What is the probability that a zombie will eat exactly 3.2 brains tomorrow?

Quiz Instructions

 

This exam consists of 25 multiple choice questions, 10 true/false questions, and 21 numerical response

 

questions.

 

Once you open the exam, you will have 4 hours (240 minutes) to complete it. The exam MUST be

 

completed in 4 hours. You may use your book, notes, and online material for this exam. You may NOT,

 

however, get any help from another person. Ninety minutes should be an adequate amount of time to

 

comfortably complete this exam. You will run out of time if you try to look up the answer to each problem!

 

You are welcome to use Excel for the calculation problems. Be sure to round answers to at least two

 

decimals! You will not get credit for the answer 3.1 if the actual answer is 3.1157, but you would get credit

 

for 3.12, 3.116, or 3.1157.

 

DO NOT use Internet Explorer to take this exam. You should use Mozilla Firefox or Google Chrome.

 

Note: this is a timed quiz. You may check the remaining time you have at any point while taking the quiz

 

by pressing the keyboard combination SHIFT, ALT, and T... Again: SHIFT, ALT, and T...

 


 

Flag this Question

 


 

Question 11 pts

 

The mathematical science that deals with the collection, analysis, and

 

presentation of data is

 


 


 


 


 


 

Economics

 

Statistics

 

Mathematical analysis

 

Data analysis

 


 

Flag this Question

 


 

Question 21 pts

 

Sampling error is the difference between the __________ and the parameter.

 


 


 


 


 

Statistic

 

None of the above

 

Sample mode

 

Sample

 


 


 


 

Flag this Question

 


 

Question 31 pts

 

The __________ is the probability distribution used in place of the normal

 

distribution to calculate a confidence interval when the population standard

 

deviation is unknown.

 

Exponential

 

distribution

 


 


 


 

Binomial distribution

 

Uniform distribution

 


 

Student's t?

 

distribution

 


 

Flag this Question

 


 

Question 41 pts

 

A __________ is a distribution in which the probability of any interval occurring is

 

equal to any other interval with the same width.

 

Student's t?

 

distribution

 


 


 


 

Normal distribution

 

Uniform distribution

 


 

Binomial

 

distribution

 


 

Flag this Question

 


 

Question 51 pts

 

The number of rushing touchdowns for the Minnesota Vikings in a season is an

 

example of

 

Interval

 

data

 


 


 

Ratio data

 

Ordinal data

 


 


 


 


 

Nominal data

 


 

Flag this Question

 


 

Question 61 pts

 

Which is a continuous random variable?

 


 


 


 


 


 

The number of students in an ECO 250 class.

 

The hourly earnings of a call center employee in Boston.

 

The number of fives obtained in four rolls of a die.

 

The number of births in a hospital on a given day.

 


 

Flag this Question

 


 

Question 71 pts

 

The empirical rule states if a distribution is symmetrical and bell-shaped,

 

approximately 68%, 95%, and _______ of its data values will fall within one, two,

 

and three standard deviations above and below the mean, respectively.

 


 


 


 


 


 

99%

 

99.5%

 

99.7%

 

98%

 


 

Flag this Question

 


 

Question 81 pts

 

__________ is the probability that the interval estimate will include the population

 

parameter of interest, such as a mean.

 


 


 


 

Degrees of freedom

 

Significance level

 


 

Confidence

 

level

 


 


 

Margin of error

 


 

Flag this Question

 


 

Question 91 pts

 

The __________ is a variable that represents the probability that any given

 

confidence interval will not contain the true population mean.

 


 


 


 


 

Significance level

 

Degrees of freedom

 

Margin of error

 


 

Confidence

 

level

 


 

Flag this Question

 


 

Question 101 pts

 

What is an error that occurs when the null hypothesis is rejected when, in reality,

 

it is true?

 


 


 


 


 


 

Sampling error

 

Type II error

 

None of the above

 

Type I error

 


 

Flag this Question

 


 

Question 111 pts

 

Which is a time series variable?

 


 


 


 

VISA balances of 30 students on December 31 of this year.

 

Titles of the top 10 movies in total revenue last week

 


 


 


 

Net earnings reported by Xena Corp for the last 10 quarters.

 


 

Dollar exchange rates yesterday against 10 other world

 

currencies

 


 

Flag this Question

 


 

Question 121 pts

 

A tire company performs quality-control tests on the monthly output of its bestselling model tire at each of its plants. Each month a random sample of 25 tires is

 

selected from each plant and tested to see if the average tread life of that plant?s

 

tires is above specifications. For one plant, the random sample of 25 tires had a

 

sample mean of 39,500 miles and a sample standard deviation of 3,300 miles.

 

The company performs a hypothesis test at the .05 level of significance to see if

 

there is evidence that the average tread life is greater than 38,000. Based on this

 

sample, the company should:

 

Reject the null hypothesis and conclude there is evidence that the average tread life is greater than 38,000

 

miles.

 

Fail to reject the null hypothesis and conclude there is evidence that the average tread life is greater than

 

38,000 miles

 

Fail to reject the null hypothesis and conclude there is not evidence that the average tread life is greater

 

than 38,000 miles.

 

Reject the null hypothesis and conclude there is not evidence that the average tread life is greater than

 

38,000 miles.

 


 

Flag this Question

 


 

Question 131 pts

 

What is the probability of observing a sample mean at least as extreme as the

 

one selected for the hypothesis test, assuming the null hypothesis is true?

 


 


 


 

Alpha

 

Beta

 


 

Confidence

 

level

 


 


 

p?value

 


 

Flag this Question

 


 

Question 141 pts

 

Which is not a characteristic of a binomial experiment?

 

Each trial has only two possible outcomes: a success or a

 

failure

 


 


 


 

Each trial is independent of the other trials in the experiment

 

The experiment consists of an infinite number of trials.

 


 

The probability of success is equal to one minus the probability of

 

failure

 


 

Flag this Question

 


 

Question 151 pts

 

A __________ is a continuous distribution that is bell shaped and symmetrical

 

around the mean.

 

Binomial

 

distribution

 


 


 


 

Uniform distribution

 

Normal distribution

 


 

Exponential

 

distribution

 


 

Flag this Question

 


 

Question 161 pts

 

The critical z-score for an 85% confidence level is ________.

 


 


 


 


 


 

1.96

 

1.44

 

1.28

 

2.33

 


 

Flag this Question

 


 

Question 171 pts

 


 

YouTube would like to test the hypothesis that the average length of an online

 

video watched by a user is more than 6 minutes. A random sample of 40 people

 

watched online videos that averaged 6.6 minutes in length. The population

 

standard deviation for the length of online videos is 1.7 minutes. YouTube would

 

like to set

 

_________.

 


 


 


 


 


 

?=0.05. The p-value for this hypothesis test would be

 


 

0.0644

 

0.0129

 

0.0268

 

0.0395

 


 

Flag this Question

 


 

Question 181 pts

 

A professor would like to test the hypothesis that the average number of minutes

 

that a student needs to complete a statistics exam is equal to 45 minutes. The

 

correct hypothesis statement would be

 


 


 


 


 


 


 


 


 


 


 


 


 


 

Flag this Question

 


 

Question 191 pts

 

What should you do when the p-value is less than the significance level?

 

Fail to reject the null

 

hypothesis

 


 


 

Reject the null hypothesis

 

Accept the alternative

 

hypothesis

 


 


 


 


 

Accept the null hypothesis

 


 

Flag this Question

 


 

Question 201 pts

 

Consider the following set of numbers: 10, 25, 13, 18, 40, 5. Determine the

 

median and variance of these data.

 


 


 


 

median = 15.5, variance = 35

 

median = 18.5, variance = 473.83

 


 

median = 15.5, variance =

 

157.9

 

median = 18.5, variance =

 

12.57

 


 

Flag this Question

 


 

Question 211 pts

 

A point estimate, also called a stati

 

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