21.Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis.Suppose you wish to test the claim that μd,the mean value of the differences d for a population of paired data, is greater than 0. Given a sample of n=15 and a significance level of α=0.01, what criterion would be used for rejecting the null hypothesis?
22.Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis.We wish to compare the means of two populations using paired observations. Suppose that d=3.125, sd=2.911, and n=8, and that you wish to test the hypothesis below at the 10% level of significance. What decision rule would you use?
23.Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd=0. Compute the value of the t test statistic. Round intermediate calculations to four decimal places as needed and final answers to three decimal places as needed.x 28 31 20 25 28 27 y 26 27 26 25 29 32 Answer: put each value into excel then use data analysis/t-test: paired two sample for meansSelect all values in column 1 for variable 1 range and all values in column 2 for variable 2 range.33 35 33 34
24.Construct a confidence interval for μdthe mean of the differences d for the population of paired data. Assume that the population of paired differences is normally distributed. Using the sample paired data below, construct a 90% confidence interval for the population mean ofall differences.