(Solved): The following information was obtained from matched samples taken from two populations. The daily p ...

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 differencos is normally distributed. Can we conclude that there is a significant difference in the daify production rates after the trainine? a) Develop appropriate null and alternative hypotheses. ${\mathrm{H}}_0+{\mu }_{\mathrm{d}}$ 0 and $H_n$ i ${\mu }_k$ D. (Enter: $\$,5,1=)$ b) Find the point estimate for the difference between the population means for the rates after the program and before the program. c) Find the test statistic for the difference between the population means for the cates after the program and before the program. (Round your answer to thice decimal paces) di The degree of freedion for the t-distribution of the test statistics is e) Determine the p value range. to DWhat is your conclusion? Use a $=0.05$. 8) Usea $=0.01$, what is your conclusion?