Problem 4 Problem 4a At a 1% level of significance, conduct the appropriate test of hypothesis involving the population mean for Variable 5 in your survey. ur survey. Create 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 HO 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] . x = 178.9 Ho: ME 185 C = 0. 01 S = 35.6 Me = 185 HA: M > 185 d.f= 20-1= 19 to : 2. 539 reject +72.539 to x - M - 178, 9 -- 18 5 -6.1 = - 0:76 6 35.6/ 120 7.960402 Because t= -0.766 is less than to : 2.539 we fail to reject the There is not enough evidence at al% level of confidence to support the claim that the mean weight at the start is greater than 185 Reject region += - 0:766 20.01 : 0 to 2. 539 Problem 4b What key assumption did you make in conducting the test in Problem 4a. Fully Explain. [2 marks]