At recent times, the airlines have received complaints from passengers regarding their e-tickets, particularly when connecting flights and a change of airlines were involved. To investigate the problem an independent watchdog agency contacted a random sample of 20 airports and collected information on the number of complaints the airport had with e-tickets for the month of March. The information is reported below:

14 12 14 15 16 15 12 14 12 13 14 13 13 12 16 13 15 10 14 13

At the .05 significance level can the watchdog agency conclude the mean number of complaints per airport is less than 15 per month?

The assumptions for the one-sample t-test are

Measurements are interval scale or better

Observations are independent of each other

The scores in the parent population are normally distributed.

It is reasonable to conclude that the population follows a normal distribution.

Null Hypothesis:

H0: m = 15

H1: m < 15

Since the sample size is (n = 20 < 30) small, we can test the above hypothesis by the use of small sample test (t-test) as follows:

**Test Statistic:**

t =

We obtain the result using Minitab

**One-Sample T: C1 **

Test of mu = 15 vs < 15

95% Upper

Variable N Mean StDev SE Mean Bound T P

C1 20 13.500 1.504 0.336 14.082 -4.46 0.000

**Conclusion:**

At α=0.05, since the p value is < 0.05, we reject the null hypothesis, thus we conclude that the mean number of complaints per airport is less than 15 per month.

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