Problem 8a At a 5 % level of significance, conduct a right-tailed test of hypothesis involving two population means defined as follows. The first population mean relates to the mean of those values of Variable 6 that have the attribute represented by the "1" code for Variable 1. The second population mean relates to the mean of those values of Variable 6 that have the attribute represented by the "2" code for Variable 1. Use the pooled variance option when conducting this test. 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 make all the required computations including the test statistic and also state the decision and conclusion in the context of your survey. Show all your work

Problem 8b What assumptions did you make in conducting the test in Problem 8a above. Identify ALL key assumptions and fully explain. [4 marks]

P StatCrunch Bowers final data StatCrunch * Applets Edit Data Stat Graph Help Row varl Returning Membership Membership Recode var2 Satisfaction Satisfaction Recode var3 Visit Duration in var4 Age in Years var5 Family count var6 Distance Travelled in Km's var9 Yes Satisfied 9 U 2 250 Yes Dissatisfied 2 100 AWNH Yes Satisfied 12 50 Yes Satisfied 1 15 210 No 3 Extremely satisfied 8 20 225 No Dissatisfied 6 35 360 No Satisfied 2 45 400 W N Yes Extremely satisfied 200 Yes Dissatisfied 260 Yes Satisfied 255 Yes Extremely satisfied 125 No Dissatisfied 15 200 No Extremely satisfied 22 105 14 Yes 3 Extremely satisfied 90 15 Yes 2 Satisfied 220 16 No N Satisfied 175 17 No 2 Satisfied 125 18 NNNN Yes 3 Extremely satisfied 200 19 No Dissatisfied 36 265 20 No Dissatisfied 48 275 21 22 23 24 25 26