# Question: the file salariesmtw contains the starting salaries of a sample...

###### Question details

The file salaries.mtw contains the starting salaries of a sample of new commerce graduates.

(a) Test at the 0.05 level of significance whether there is sufficient evidence to conclude that the average starting salary of all new commerce grads exceeds $50,000. Use the critical value approach and show manually how the t-statistic is calculated.

(b) Now show how you would calculate the p-value for the result in part (a).

(c) Calculate manually a 95% 1-sided confidence interval for the average salary.

(d) Explain why the p-value and confidence interval do or do not support your conclusion in part (a).

(e) Show a boxplot of the data and explain whether the assumptions of the test and confidence interval are reasonable

salary

47508

52802

54906

62425

44996

41279

54308

56199

74659

53188

58387

62125

56557

44685

30962

53814

64389

57446

57694

51371

52474

47797

51889

45710

46557

52960

70545

50568

34922

64528

40670

53530

65170