STAT 200 7361 Introduction to Statistics (2178) - Homework 7

11/20/2017 Homework Assignments - STAT 200 7361 Introduction to Statistics (2178)

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eResources Chapter Exercise Page* PDF Page*

Lane et al. 14 2 511 511

6 511 511

17 5 613 613 14 616 616

Illowsky et al. 11

70 652 660 102 660 668 113 662 670 117 662 670

12 66 717 725 82 725 733

* Page numbers are approximated due to version control of the eResources, especially for Illowsky et al.

(For your convenience, the actual problems are reproduced here. However, you may need to consult the textbook to see all the images, and symbols that may be missing from the download.)

Lane

Ex-14-2

2. The formula for a regression equation is Y’ = 2X + 9.

a. What would be the predicted score for a person scoring 6 on X?

a. If someone’s predicted score was 14, what was this person’s score on X?

Ex-14-6

6. For the X, Y data below, compute:

4 6

3 7

5 12

11 17

10 9

11/20/2017 Homework Assignments - STAT 200 7361 Introduction to Statistics (2178)

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14 21

=

a. r and determine if it is significantly different from zero.

a. the slope of the regression line and test if it differs significantly from zero.

a. the 95% confidence interval for the slope.

Ex-17-5

5. 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?

a. 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.

a. What do you conclude?

Ex-17-14

14. 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.

11/20/2017 Homework Assignments - STAT 200 7361 Introduction to Statistics (2178)

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Colour

Texture Light Medium Dark Row Total

Fine 4 20

8

Medium 5

23

12

Coarse 21

23

4

Column Total

Illowsky

Ex-11-70

Decide whether the following statements are true or false.

70. The standard deviation of the chi-square distribution is twice the mean.

Ex-11-102

102. Do men and women select different breakfasts? The breakfasts ordered by randomly selected men and women at a popular breakfast place is shown in Table 11.55. Conduct a test for homogeneity at a 5% level of significance.

French Toast Pancakes Waffles Omelets Row Total

Men 47 35 28 53

Women 65

59 55 60

11/20/2017 Homework Assignments - STAT 200 7361 Introduction to Statistics (2178)

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Column Total

Table 11.55

Ex-11-113

Use the following information to answer the next twelve exercises: Suppose an airline claims that its flights are consistently on time with an average delay of at most 15 minutes. It claims that the average delay is so consistent that the variance is no more than 150 minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25 flights. The average delay for those 25 flights is 22 minutes with a standard deviation of 15 minutes.

113. df = _____

Ex-11-117

117. Let α = 0.05

Decision: _____

Conclusion (write out in a complete sentence.): _____

Ex-12-66

66. Can a coefficient of determination be negative? Why or why not?

Ex-12-82 (Reduced version; you can omit e, f, and g)

Use the following information to answer the next exercise. The cost of a leading liquid laundry detergent in different sizes is given in Table 12.31.

Size (ounce) Cost ($) Cost per ounce

16 3.99

11/20/2017 Homework Assignments - STAT 200 7361 Introduction to Statistics (2178)

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32 4.99

64 5.99

200 10.99

Table 12.31

82.

a. Using “size” as the independent variable and “cost” as the dependent variable, draw a scatter plot.

a. Does it appear from inspection that there is a relationship between the variables? Why or why not?

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

a. Find the correlation coefficient. Is it significant?