Statistics- Suppose a market analyst wants to

QUESTION

7. Suppose a market analyst wants to determine the difference in the average price if a gallon of whole milk in Seattle and Atlanta. To do so, he takes a telephone survey of some randomly selected consumers in Seattle. He then takes another sample of some respondents from Atlanta. Use the following sample of prices of a gallon of milk in both the cities, solve the following questions. Sample 1Seattle$2.55 $2.362.672.542.502.542.612.803.102.61(i) Test the hypothesis that H0: σ 12Sample 2Atlanta$2.23 $2.402.302.332.192.292.412.18$2.432.432.382.492.57$2.392.402.232.29222= σ 2against the alternative hypothesis H0: σ 1 ≠ σ 2at 5% label of significance. (a) What is the point estimate of the difference between the two population mean differenceµ Seattle − µ Atlanta ?(b) Test the hypothesis thatH 0 : µ Seattle − µ Atlanta = 0againstH a : µ Seattle − µ Atlanta ≠ 0 .Use 5% level of significance. Show all six steps. Use Classical approach and p-value approach.8. The following information was obtained from matched samples.The daily production rates for a sample of workers before and after a training program are shown below.WorkerBeforeAfter12022225233272742320522256201971718Questions:(i)Estimate the point estimate for the difference between the means of the two populations µ d = µ A − µ B . ≤ 0 against H a : µ d > 0 at 5% label of significance, (ii)Test the null hypothesis H0: µ d(iii)Compute a 95% confidence interval for the difference between the means of the two populations µ d = µ A − µ B .

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