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Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset Vaia Explanations$ Math

OER 2018 Edition · 902 pages

ISBN: 9781938168208

Chapter 11: Q. 31 (page 656)

Use the following information to answer the next seven exercises: Transit Railroads is interested in the relationship between travel distance and the ticket class purchased. A random sample of \(200\) passengers is taken. Table 11.31 shows the results.
The railroad wants to know if a passenger’s choice in ticket class is independent of the distance they must travel.
What is the \(p-\)value?

Short Answer

Expert verified

\(p\) value is zero.

Step by step solution

01

Step 1. Given information

Given Table-

02

Step 2. Explanation

The \(p\) value can be calculated using excel sheet by formula as given below,

Therefore \(p\) value is zero.

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Most popular questions from this chapter

A fisherman is interested in whether the distribution of fish caught in Green Valley Lake is the same as the distribution of fish caught in Echo Lake. Of the 191 randomly selected fish caught in Green Valley Lake, 105 were rainbow trout, 27 were other trout, 35 were bass, and 24 were catfish. Of the 293 randomly selected fish caught in Echo Lake, 115 were rainbow trout, 58 were other trout, 67 were bass, and 53 were catfish. Perform a test for homogeneity at a 5% level of significance.

Transit Railroads is interested in the relationship between travel distance and the ticket class purchased. A random sample of $200$ passengers is taken. Table 11.31 shows the results. The railroad wants to know if a passenger’s choice in ticket class is independent of the distance they must travel.

$\begin{array}{l} Traveling Distance & Third class & Second class & First class & Total \\ 1 - 100 miles & 21 & 14 & 6 & 41 \\ 101 - 200 miles & 18 & 16 & 8 & 42 \\ 201 - 300 miles & 16 & 17 & 15 & 48 \\ 301 - 400 miles & 12.00 % & 14 & 21 & 47 \\ 401 - 500 miles & 6 & 6 & 10 & 22 \\ Total & 73 & 67 & 60 & 200 \end{array}$

State the hypothesis:

$H_{0}$ :

$H_{α}$ :

A company packages apples by weight. One of the weight grades is Class $A$ apples. Class $A$ apples have a mean weight of $150 g$ , and there is a maximum allowed weight tolerance of $5 %$ above or below the mean for apples in the same consumer package. A batch of apples is selected to be included in a Class $A$ apple package. Given the following apple weights of the batch, does the fruit comply with the Class $A$ grade weight tolerance requirements. Conduct an appropriate hypothesis test.

(a) at the $5 %$ significance level

(b) at the $1 %$ significance level Weights in selected apple batch (in grams): $158$ ; $167$ ; $149$ ; $169$ ; $164$ ; $139$ ; $154$ ; $150$ ; 157 ; 171; 152; 161 ; 141; 166; 172;

Use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places.

A recent debate about where in the United States skiers believe the skiing is best prompted the following survey. Test to see if the best ski area is independent of the level of the skier.

U.S. Ski Area	Beginner	Intermediate	Advanced
Tahoe	$20$	$30$	$40$
Utah	$10$	$30$	$60$
Colorado	$10$	$40$	$50$

Table $11.43$

Read the statement and decide whether it is true or false.

The test to use to determine if a six-sided die is fair is a goodness-of-fit test.

See all solutions

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