# 2. Over at NAIA, you are observing the average length of flight delays (excludingflights that leave on time). Your notes for ten randomly chosen days are here:Ave. delay (hrs:min)0:430:130:17DayAve. delay (hrs:min)Day2:001:480:19840:250:3452:18103:12If the airport claims that the delays will be no more than a minute on average, check hisclaim by doing the following: (a) Write the null hypothesis. (b) Write the alternativehypothesis. (c) Formulate and calculate the test-statistic. Is it a one-tail or two-tailed test?Did the airport told you the truth at 95% confidence level? (d) Determine the confidenceinterval.

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Step 1

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Step 2

(a)

Denote μ as the true length of flight delays, in minutes. The claim by the airport is “no more than a minute” on an average, that is, no more than 60 minutes of delay.

The null hypothesis would state that the delay is no more than 60 minutes, that is, at most 60 minutes. Thus, the null hypothesis is:

H0: μ ≤ 60.

Step 3

(b)

The alternative claim is that the true average delay is of more than 60 minutes. So, the alternative hypothesis is:

H1: μ > ...

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