The Long Island Railroad claims that its trains are consistently on time with an average delay of at most 15 minutes

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The Long Island Railroad claims that its trains are consistently on time with an average delay of at most 15 minutes. It also claims that the average delay is so consistent that the variance is no more than 150 minutes. A disgruntled traveler doubts the veracity of the constancy claim by LIRR and calculates the delays for his next 25 one-way trips. The average delay for those 25 flights is 22 minutes with a standard deviation of 15 minutes.

 

Based on this, please answer the following:

 

1. Is the traveler disputing the claim about the average or about the variance? 

 

1. A sample standard deviation of 15 minutes is the same as a sample variance of __________ minutes. 

 

1. Is this a right-tailed, left-tailed, or two-tailed test? 

 

1. The null hypothesis H₀: __________ 

 

1. The degrees of freedom df = ________ 

 

1. chi-square test statistic = ________