Question Five A diet guide claims that you will get an average of 140 calories from a serving of Greek Style yogurt. Consumer NZ decided to test this claim by sampling 36 single serving containers of Greek Style yogurt to measure the calorie content. The data is reported below (data is reported in calories): 143 137.6 145.1 139.5 140.9 139 142.6 141.9 141 143.6 142.7 139.4 141.3 146.5 142 139.9 144.1 143.2 140.1 135.6 138.1 149.1 141.9 138.5 138 141.2 146.9 141.4 144.2 139.6 142.7 143.2 145.6 140.1 142 143.8 a) Use the data to calculate a 90% confidence interval for the population mean. b) Is the data collected by Consumer NZ consistent with the claim made by the diet guide? Please explain your answer with reference to the confidence interval you calculated above.