The following information was obtained from matched samples taken from two populations. The daily production rates for a sample of workers before and after a training program are shown below.Assume the population of differences is normally distributed. Given that the null hypothesis to be tested is H₀: μd = 0, A) the null hypothesis should be rejected. B) the null hypothesis should not be rejected. C) the alternative hypothesis should be revised. D) the null hypothesis should be revised.

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Quizplus · Accepted Answer

Since we are testing the hypothesis H₀: μd = 0, which means the population mean difference is equal to zero, we can use a two-tailed t-test with a significance level of 0.05. The calculated t-value is -2.31 and the corresponding p-value is 0.029. Since the p-value is less than the significance level of 0.05, we reject the null hypothesis that the population mean difference is equal to zero. Therefore, the best choice is B, which is to not reject the null hypothesis. There is no need to revise the alternative or null hypothesis.

The Following Information Was Obtained from Matched Samples Taken from Two