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A sample of five measurements, randomly selected from a normally distributed population, resulted in the following summary statistics: x = 5.1, s = 1.5. Complete parts a through c. . . . a. Test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, u 2.132 O D. t 1.533 O E. t> 1.533 OF. t 2.132Calculate the value of the test statistic. t=(Round to two decimal places as needed.) Make the appropriate conclusion. Choose the correct answer below. O A. Do not reject Ho. There is insufficient evidence at the a = 0.10 level of significance to conclude that the true mean of the population is less than 6. O B. Do not reject Ho. There is sufficient evidence at the a = 0.10 level of significance to conclude that the true mean of the population is less than 6. O C. Reject Ho. There is sufficient evidence at the a = 0.10 level of significance to conclude that the true mean of the population is less than 6. O D. Reject Ho. There is insufficient evidence at the a = 0.10 level of significance to conclude that the true mean of the population is less than 6. b. Test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, u #6. Use a = 0.10. If a = 0.10, find the rejection region for the test. Choose the correct answer below. O A. t 2.132 O C. t 2.132 O E. (> 1.533 OF. t 1.533