A random sample of 35 GMAT scores for applicants to an MBA program has a mean score of 479. The researcher is interested in finding evidence at the .05 level that the mean score of applicants to the program is lower than 500, the national average score. To answer the following questions, assume that the population standard deviation of GMAT scores is 90.
What is the p-value?
What is the correct test statistic?
What is the correct hypotheses?
What if there is a 90% confidence interval for the mean GMAT score of applicants to the program?
What hypothese pair relfects the question above?