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Please help me understand the problems. I am looking for detailed-(Answered)

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Please help me understand the problems. I am looking for detailed (step by step) explanation on these question. Stats is not my strong side.?


1. At a school pep rally, a group of sophomore students organized a free raffle for prizes. They

 

claim that they put the names of all of the students in the school in the basket and that they

 

randomly drew 36 names out of this basket. Of the prize winners, 6 were freshmen, 14 were

 

sophomores, 9 were juniors, and 7 were seniors. The results do not seem that random to you. You

 

think it is a little fishy that sophomores organized the raffle and also won the most prizes. Your

 

school is composed of 30% freshmen, 25% sophomores, 25% juniors, and 20% seniors.

 

a. What are the expected frequencies of winners from each class?

 

b. Conduct a significance test to determine whether the winners of the prizes were distributed

 

throughout the classes as would be expected based on the percentage of students in each group.

 

Report your Chi Square and p values?

 

c. What do you conclude?

 

2. A geologist collects hand-specimen sized pieces of limestone from a particular area. A

 

qualitative assessment of both texture and color is made with the following results. Is there

 

evidence of association between color and texture for these limestones? Explain your answer.

 

Texture

 

Fine

 

Medium

 

Course

 


 

Light

 

4

 

5

 

21

 


 

Colour

 

Medium

 

20

 

23

 

23

 


 

Dark

 

8

 

12

 

4

 


 

3. Do men and women select different breakfasts? The breakfasts ordered by randomly selected

 

men and women at a popular breakfast place is shown below in the table. Conduct a test for

 

homogeneity at a 5% level of significance

 

French Toast

 

Pancake

 

Waffles

 

Omelet

 

Men

 

47

 

35

 

28

 

53

 

Women

 

65

 

59

 

55

 

60

 

4.

 

a. Using ?size? as the independent variable and ?cost? as the dependent variable, draw a scatter

 

plot.

 

b. Does it appear from inspection that there is a relationship between the variables? Why or why

 

not?

 

c. Calculate the least-squares line. Put the equation in the form of: ? = a + bx

 

d. Find the correlation coefficient. Is it significant?

 

e. If the laundry detergent were sold in a 40-ounce size, find the estimated cost.

 

f. If the laundry detergent were sold in a 90-ounce size, find the estimated cost.

 

g. Does it appear that a line is the best way to fit the data? Why or why not?

 

h. Are there any outliers in the given data?

 

i. Is the least-squares line valid for predicting what a 300-ounce size of the laundry detergent

 

would you cost? Why

 

or why not?

 

j. What is the slope of the least-squares (best-fit) line? Interpret the slope

 


 

 

Paper#9210920 | Written in 27-Jul-2016

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