Martial Gender Spend Visit IncomeAge Recode(Martial)Recode(Gender)

2 2 75 12 7400 45 married male

2 3 20 3 8600 31 married prefer not to say

1 2 125 8 3600 62 single male

2 1 130 11 8700 32 married female

1 2 70 16 8800 33 single male

1 2 20 6 5300 53 single male

2 1 75 13 4100 64 married female

1 3 150 3 8300 34 single prefer not to say

1 1 85 7 8800 35 single female

2 3 150 9 4400 65 married prefer not to say

2 2 100 6 6500 51 married male

2 3 40 6 6400 52 married prefer not to say

1 1 90 5 5200 54 single female

1 2 90 8 7200 44 single male

2 1 110 2 7400 43 married female

1 3 145 11 7900 37 single prefer not to say

1 2 65 8 3400 72 single male

2 1 95 9 7300 42 married female

1 1 150 3 6800 47 single female

2 3 200 13 5200 55 married prefer not to say

Problem 4a At a 1% level of significance, conduct the appropriate test of hypothesis involving the population mean for Variable 5 in your survey. Make a right tailed test where you specify the hypothesized mean (feel free to specify any value for the population claim that makes sense given your data). In your answer make sure that you show H0 and Ha, sketch the sampling distribution showing the critical value(s) and the rejection region. Use your calculator to compute the test statistic and also state the decision and conclusion in the context of the survey. Show all your work . [10 marks] .

Problem 4b What key assumption did you make in conducting the test in Problem 4a. Fully Explain. [2 marks]