The weights of four randomly and independently selected bags of potatoes labeled 20 pounds were found to be 21.4, 21.9, 21.1, and 21.6. [ Assume Normality. a. Using a two-sided alternative hypothesis, should you be able to reject the hypothesis that the population mean is 20 pounds using a significance level of 0.05? Why or why not? The confidence interval is reported here: I am 95% confident the population mean is between 21.0 and 22.0 pounds. b. Test the hypothesis that the population mean is not 20. Use a significance level of 0.05. c. Choose one of the following conclusions: i. We cannot reject a population mean of 20 pounds. ii. We can reject a population mean of 20 pounds. iii. The population mean is 21.5 pounds. a. Choose the correct answer below. O A. Reject the hypothesis, because the interval does not contain the proposed mean. O B. Do not reject the hypothesis, because the interval does not contain the proposed mean. O C. Reject the hypothesis, because the interval contains the proposed mean. O D. Do not reject the hypothesis, because the interval contains the proposed mean. O E. There is insufficient information to determine if the hypothesis should be rejected. b. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H # 20 O B. Ho: H > 20 O C. Ho: H = 20 Ha: H = 20 Ha: HS 20 Ha: H # 20 O D. Ho: H 20The test statistic is (Round to two decimal places as needed ] The p-value is (Round to three decimal places as needed.) c. Choose lhe correct conclusion below. [:1 A. The population mean is 21 5 pounds. [:1 B. We cannot reject a population mean of 20 pounds [:1 C. We can reject a population mean of 20 pounds