An arline claims that its flights are consistently on time with an a verage dela

Question

An arline claims that its flights are consistently on time with an a verage delay of at most 15 minutes It claims that the average delay is so consistent that the stancara :23:39 rem deviation is no more than 10.5 minutes. Doubting the consistency part of the claim, a disgrumled traveler calculates the delays for his next 22 flights. The average delay fo those 22 flights is 19 minutes with a standard deviation of 16 minutes. Assume a - 0.0S a Is the traveler disputing the claim about the average or about the variance? Choose one v b. A sample standard dev c. Determine the type of test Choose one d State the null and the alternative hypotheses iation of 16 minutes is the same as a sample variance of minutes Ho: Choose one H Choose one Choose one Choose one Choose one:Choose one Identify the claim: Choose one e. Identify the distribution to use for the test. Choose one The degrees of freedom t Calculate the x* statistic Forgot the formula? r Critical Value Method Round your answer to 3 decimal places Round your answer to 3 decimal places ) Calculate the critical value Decision Choose one Reason for decision Choose one h p Value Method

Explanation / Answer

a)

The claim is about the Variance

b)

Sample Variance = Sample Std Deviation 2 = 162 = 256

c)

Chi Square Test

d)

H0: ?2 = 10.52 = 110.25

Ha: ?2 > 110.25

Right tailed Chi Square test

e)

Degrees of freedom = n-1 = 22-1 = 21

f)

Test Statistic:

Chi Square = (n-1) * s2/ ?2 = (22-1) * 2562/ 110.252 = 48.762

g)

Critical Value = 32.671

Decision: Reject the null Hypothesis

Since Chi Square is greater than critical value, we reject the null hypothesis.

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