# 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.

Salary from file:

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

**(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.**