We want to perform the following hypothesis test for the average score of an exam in a statistics class: Ho: µ 2 86, Ha: H < 86. Assuming that exam scores are normally distributed where o is unknown, suppose we collect a random sample of 16 exam scores and determine the test statistic to be 2.234. For a significance level of 0.05, what is the decision and conclusion based on the information? O A. Fail to reject Ho, since there is sufficient evidence to conclude that the average score is higher than 86. O B. Fail to reject Ho, since there is insufficient evidence to conclude that the average score is lower than 86. O C. Reject Ho, since there is sufficient evidence to conclude that the average score is lower than 86. D. Reject Ho, since there is insufficient evidence to conclude that the average score is at least 86.

Assume a significance level of a = 0.01 and use the given information to complete parts (a) and (b) below. Original claim: The mean pulse rate (in beats per minute) of a certain group of adult males is 68 bpm. The hypothesis test results in a P-value of 0.0061. O A. Reject H, because the P-value is less than or equal to a. O B. Fail to reject H, because the P-value is less than or equal to a. O C. Fail to reject Ho because the P-value is greater than a. O D. Reject H, because the P-value is greater than a. b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? O A. There is not sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is 68 bpm. O B. The mean pulse rate (in beats per minute) of the group of adult males is not 68 bpm. O C. There is sufficient evidence to warrant rejection of the claim that the mean pulse rate (in…

Assume a significance level of α=0.01 and use the given information to complete parts​ (a) and​ (b) below. Original​ claim: The mean pulse rate​ (in beats per​ minute) of a certain group of adult males is 73 bpm. The hypothesis test results in a​ P-value of 0.0918.   State a conclusion about the null hypothesis.​ (Reject H0 or fail to reject H0​.) Choose the correct answer below   Without using technical​ terms, state a final conclusion that addresses the original claim. Which of the following is the correct​ conclusion?

Suppose you want to test the claim that u, > H,. Two samples are randomly selected from normal populations. The sample statistics are given below. Assume that o #o5. At a level of significance of a = 0.01, when should you reject Ho? n, = 18, n2 =13, x, = 470, x2 = 455, s, = 40, s2 = 25 %3D O A. Reject H, if the standardized test statistic is greater than 2.681. B. Reject Ho if the standardized test statistic is greater than 1.699. O C. Reject H, if the standardized test statistic is greater than 3.055. D. Reject H, if the standardized test statistic is greater than 2.179.