Problem #4: We would like to conduct a hypothesis test at the 5% level of significance to determine whether the true mean score of all players in a particular bowling league differs from 151. The mean and standard deviation of the scores of 11 randomly selected players are calculated to be 152.3 and 16.4, respectively. Scores of all players in the league are known to follow a normal distribution with standard deviation 19.4. We find that our test statistic falls in our rejection region, and so we conclude: Problem #4: (A) We fail to reject the null hypothesis and conclude at the 5% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league differs from 151. (B) We fail to reject the null hypothesis and conclude at the 5% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league is smaller than 151. (C) We reject the null hypothesis and conclude at the 5% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league is smaller than 151. (D) We reject the null hypothesis and conclude at the 5% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league differs from 151. (E) We reject the null hypothesis and conclude at the 5% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league differs from 151. (F) We fail to reject the null hypothesis and conclude at the 5% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league is larger than 151. (G) We fail to reject the null hypothesis and conclude at the 5% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league differs from 151. (H) We reject the null hypothesis and conclude at the 5% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league is greater than 151. Select

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Problem #4: We would like to conduct a hypothesis test at the 5% level of significance to determine whether the true mean
score of all players in a particular bowling league differs from 151. The mean and standard deviation of the scores
of 11 randomly selected players are calculated to be 152.3 and 16.4, respectively. Scores of all players in the
league are known to follow a normal distribution with standard deviation 19.4. We find that our test statistic falls
in our rejection region, and so we conclude:
Problem #4:
(A) We fail to reject the null hypothesis and conclude at the 5% level of significance that we
have insufficient evidence that the true mean scores of all players in that bowling league differs from 151.
(B) We fail to reject the null hypothesis and conclude at the 5% level of significance that we
have insufficient evidence that the true mean scores of all players in that bowling league is smaller than 151.
(C) We reject the null hypothesis and conclude at the 5% level of significance that we
have sufficient evidence that the true mean scores of all players in that bowling league is smaller than 151.
(D) We reject the null hypothesis and conclude at the 5% level of significance that we
have insufficient evidence that the true mean scores of all players in that bowling league differs from 151.
(E) We reject the null hypothesis and conclude at the 5% level of significance that we
have sufficient evidence that the true mean scores of all players in that bowling league differs from 151.
(F) We fail to reject the null hypothesis and conclude at the 5% level of significance that we
have sufficient evidence that the true mean scores of all players in that bowling league is larger than 151.
(G) We fail to reject the null hypothesis and conclude at the 5% level of significance that we
have sufficient evidence that the true mean scores of all players in that bowling league differs from 151.
(H) We reject the null hypothesis and conclude at the 5% level of significance that we
have insufficient evidence that the true mean scores of all players in that bowling league is greater than 151.
Select v
Transcribed Image Text:Problem #4: We would like to conduct a hypothesis test at the 5% level of significance to determine whether the true mean score of all players in a particular bowling league differs from 151. The mean and standard deviation of the scores of 11 randomly selected players are calculated to be 152.3 and 16.4, respectively. Scores of all players in the league are known to follow a normal distribution with standard deviation 19.4. We find that our test statistic falls in our rejection region, and so we conclude: Problem #4: (A) We fail to reject the null hypothesis and conclude at the 5% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league differs from 151. (B) We fail to reject the null hypothesis and conclude at the 5% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league is smaller than 151. (C) We reject the null hypothesis and conclude at the 5% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league is smaller than 151. (D) We reject the null hypothesis and conclude at the 5% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league differs from 151. (E) We reject the null hypothesis and conclude at the 5% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league differs from 151. (F) We fail to reject the null hypothesis and conclude at the 5% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league is larger than 151. (G) We fail to reject the null hypothesis and conclude at the 5% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league differs from 151. (H) We reject the null hypothesis and conclude at the 5% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league is greater than 151. Select v
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