In: Statistics and Probability
Utilizing a random sample of 100, the Richardson marketing research firm would like to test whether it is true that the mean customer satisfaction rating for the new virtual reality system exceeds 50 (benchmark mu). After collecting the data, you, the analyst, find that the sample mean is 50.99 and the sample standard deviation (s) is 3.360.
(a) Build H0 (null hypothesis) and Ha (alternative hypothesis) for testing the claim that the mean customer satisfaction rating is above 50.
(b) Calculate the t statistic.
(c) Using the p-value approach to perform the t test on H0 versus Ha at each of the alpha level 0.10, 0.05, 0.01, and 0.001.
(d) How much evident is there that the mean customer satisfaction rating will be above 50?
(e) What recommendations would you offer to the manager, based on the hypothesis testing results?