Q.114 chi-square test statistic = ____... [FREE SOLUTION]

91影视

Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset 91影视 Explanations$ Math

OER 2018 Edition 路 902 pages

ISBN: 9781938168208

Chapter 11: Q.114 (page 668)

chi-square test statistic = ________

Short Answer

Expert verified

chi-square test statistic = $36$

Step by step solution

Given information

Given in the question that, 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 .

Explanation

The test statistics can be calculated by using the formula shown below:

Test statistic $= \frac{(n - 1) s^{2}}{蟽^{2}}$

Here,

$n -$ sample size

$s^{2} -$ sample variance

$蟽^{2} -$ population variance

Therefore, the calculation is shown below:

Test statistic

$= \frac{(25 - 1) (15)^{2}}{(150)}$

$= \frac{24 脳 225}{150}$

$= 36$

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91影视

chi-square test statistic = ________

Short Answer

Step by step solution

Given information

Explanation

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