# Screenshot 2023-07-11 at 12.37.31 AM

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0 4 > St L Points: 1 of 1 -——-— The samples in the accompanying table are observations taken from the same elements at two different times. Complete parts a and b. Question list 1< EH Click the icon to view the data table. @ Question 1 a. Let py =4 - p,. Assume that the populations are normally distributed and construct a 99% confidence interval for the difference in the means of the distribution at . the times in which the samples were taken. @ Question 2 6.2387 <p4 < 9.5327 (Round to four decimal places as needed.) x . % Question 3 b. Perform a test of hypothesis to determine if the difference in the means of the distribution at the first time period is more than 8 units larger than at the second time period. Use a level of significance equal to 0.01. Determine the null and alternative hypotheses. Choose the correct answer below. @ CQuestion 4 ¥ A Hp: pgs8 " Hgipg28 Haipg>8 Haipg <8 @ AQuestion 5 Hp: pg =0 Hp:ipg=8 Ha: g #0 Ha: g #8 % Question 6 Find the rejection region. Choose the correct answer below and fill in any answer boxes in your choice. (Round to four decimal places as needed.) %, Question 7 - i< Ve t> 31427 @ Question 8 t> ort< Calculate the test statistic. t= -0.2573 (Round to four decimal places as needed.) Reach a conclusion. Since the test statistic is less than the critical value(s), do not reject Hg. There is insufficient evidence to conclude that the difference in the means of the distribution at the first time period is more than 8 units larger than at the second time period. - X Data table ] Unit Sample 1 Sample 2 1 12.9 6.1 17.8 8.6 3 21.7 12.5 4 12.3 5.1 5 18.2 10.8 6 16.9 10.4 7 12.1 3.2