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Question

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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