Airport management claim that the average departure delay for all flights that depart major airports in a large city is less than 16 minutes. Based on a random sample of 75 flights that depart from the major airports in the city, the average departure delay is 13.11 minutes, and the standard deviation is 21.12 minutes. We wish to test the claim at the 10% level of significance.

State the hypotheses.

The test statistic is -1.185, and the p-value is 0.1199. Write the probability statement for the p-value and draw a neatly labelled distribution. Shade the area depicting the p-value. Remember to label the distribution and all values included in your sketch.

1. Does the sample data support the claim? Explain briefly

1. Interpret a Type II Error in the context of this question. Discuss one business implication of this type of error.