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Chapter 11: Q.1.2 (page 698)

Why is it important to compare proportions rather than counts in Question 1?

Short Answer

Expert verified

Proportions have been computed to make the comparison and reach at the conclusion.

Step by step solution

01

Given Information

The table is,

02

Explanation

The proportion table is,

From the count table, it is known that there is a huge difference between the sample size of two campuses which makes the comparison impossible. Thus, proportions have been computed to make the comparison and reach at the conclusion.

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Most popular questions from this chapter

Reading and grades (10.2) Summary statistics for the two groups from Minitab are provided below.

(a) Explain why it is acceptable to use two-sample t procedures in this setting.

(b) Construct and interpret a 95% confidence interval for the difference in the mean English grade for light and heavy readers.

(c) Does the interval in part (b) provide convincing evidence that reading more causes an increase in students’ English grades? Justify your answer.

Reading and grades (3.2) The Fathom scatterplot below show the number of books read and the English grade for all 79students in the study. A least-squares regression line has been added to the graph.

(a) Interpret the meaning of the y-intercept in context.

(b) The student who reported reading 17books for pleasure had an English GPA of 2.85. Find this student’s residual. Show your work.

(c) How strong is the relationship between English grades and the number of books read? Give appropriate evidence to support your answer.

Yahtzee (5.3,6.3)In the game of Yahtzee, 5six-sided dice are rolled simultaneously. To get a Yahtzee, the player must get the same number on all 5dice.

(a) Luis says that the probability of getting a Yahtzee in one roll of the dice is 165. Explain why Luis is wrong.

(b) Nassir decides to keep rolling all 5 dice until he gets a Yahtzee. He is surprised when he still hasn’t gotten a Yahtzee after25rolls. Should he be? Calculate an appropriate probability to support your answer .

The chi-square statistic is

(a) (18-25)225+(22-25)225+(39-25)225+(21-25)225

(b) (25-18)218+(25-22)222+(25-39)239+(25-21)221

(c) (18-25)25+(22-25)25+(39-25)25+(21-25)25

(d)(18-25)2100+(22-25)2100+(39-25)2100+(21-25)2100

(e)(0.18-0.25)20.25+(0.22-0.25)20.25+(0.39-0.25)20.25+(0.21-0.25)20.25

A chi-square goodness-of-fit test is used to test whether a 0 to 9 spinner is "fair" (that is, the outcomes are all equally likely). The spinner is spun 100 times, and the results are recorded. The degrees of freedom for the test will be

(a) 8 .

(c) 10 .

(e) None of these.

(b) 9 .

(d) 99.
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