Question 1)

The psychometric mean test scores of two groups of pilot cadets are 63.89 and 46.79 respectively. You are interested to find out whether the difference in the psychometric mean test scores of these two groups of pilot cadets is statistically significant at 5% significance level.

(a)Specify the null and alternate hypotheses in words. (10 marks)

(b)Which statistical test would you use for the hypotheses test assuming thatthe assumptions for the test are met? (5 marks)

(c)Suppose the p-value corresponding to the test statistic is 0.008. What would be your decision and conclusion? (10 marks)

Question 2)

The psychometric test scores of 30 SkyOne Airlines pilots before and after a 1-year on-the-job training programme were collected. You are interested to find out whether the training programme resulted in an improvement of the mean test scores at 5% significance level.

(a)Specify the null and alternate hypotheses in words. (10 marks)

(b)Which statistical test would you use for the hypotheses test assuming thatthe assumptions for the test are met? (5 marks)

(c)Suppose the p-value corresponding to the test statistic is 0.074. What would be your decision and conclusion? (10 marks)