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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

According to an avid aquarist, the average number of fish in a $20$ -gallon tank is $10$ , with a standard deviation of two. His friend, also an aquarist, does not believe that the standard deviation is two. She counts the number of fish in $15$ other $20$ -gallon tanks. Based on the results that follow, do you think that the standard deviation is different from two? Data: $11; 10; 9; 10; 10; 11; 11; 10; 12; 9; 7; 9; 11; 10; 11$

Some travel agents claim that honeymoon hot spots vary according to the age of the bride. Suppose that $280$ recent brides were interviewed as to where they spent their honeymoons. The information is given in Table $11.46$ . Conduct a test of independence

Location	$20 - 29$	$30 - 39$	$40 - 49$	$50$ and over
Niagara Falls	$15$	$25$	$25$	$20$
Poconos	$15$	$25$	$25$	$10$
Europe	$10$	$25$	$15$	$5$
Virgin Islands	$20$	$25$	$15$	$5$

Consumers may be interested in whether the cost of a particular calculator varies from store to store. Based on surveying $43$ stores, which yielded a sample mean of $\(84$ and a sample standard deviation of $\) 12$ , test the claim that the standard deviation is greater than $$ 15$ .

$d f$ = ________

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

In a test of independence, the expected number is equal to the row total multiplied by the column total divided by the total surveyed.

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