We have two normal populations. The standard deviation of the first population is 3.71, and that of the second populatio

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We Have Two Normal Populations The Standard Deviation Of The First Population Is 3 71 And That Of The Second Populatio 1 (53.16 KiB) Viewed 27 times

We have two normal populations. The standard deviation of the first population is 3.71, and that of the second population is 3.06. We take a sample from each population. The mean of the sample from population one is 32.26, and the mean of the sample from population two is 27.9. The samples have sizes 18 and 12 respectively. You want to argue that the mean of the first population is bigger than the mean of the second population, in other words that H1 H₂> 0. a) Calculate the appropriate test statistic. b) What would the appropriate critical value be for a test of your hypothesis at the 1% significance level? c) Should you reject or keep the null hypothesis in this test? Answer 0 to keep it and 1 to reject it.