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,

Question

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,

Quizplus · Accepted Answer

The null hypothesis H₀: μd = 0 assumes that there is no difference between the daily production rates of workers before and after the training program. We can use a paired t-test to test this hypothesis. Based on the calculated t-value and the degree of freedom, we can find the corresponding p-value using a t-distribution table. If the p-value is greater than the significance level (α), we fail to reject the null hypothesis. If the p-value is less than or equal to the significance level, we reject the null hypothesis and conclude that there is significant evidence to support the alternative hypothesis that the daily production rates have changed after the training program. In this case, the p-value is greater than the significance level of 0.05, so we fail to reject the null hypothesis. Therefore, the answer is B - the null hypothesis should not be rejected.

The Following Information Was Obtained from Matched Samples Taken from Two