: We would like to conduct a hypothesis test at the 1% level of significance to determine whether the true mea score of all players in a particular bowling league differs from 147. The mean and standard deviation of the scor of 11 randomly selected players are calculated to be 149.7 and 12.4, respectively. Scores of all players in th league are known to follow a normal distribution with standard deviation 14.4. We find that our test statistic fal. in our rejection region, and so we conclude: (A) We reject the null hypothesis and conclude at the 1% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league differs from 147. (B) We fail to reject the null hypothesis and conclude at the 1% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league differs from 147. (C) We reject the null hypothesis and conclude at the 1% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league is smaller than 147. (D) We fail to reject the null hypothesis and conclude at the 1% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league differs from 147. (E) We fail to reject the null hypothesis and conclude at the 1% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league is larger than 147. (F) We reject the null hypothesis and conclude at the 1% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league differs from 147. (G) We fail to reject the null hypothesis and conclude at the 1% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league is smaller than 147. (H) We reject the null hypothesis and conclude at the 1% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling la

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Problem #4: We would like to conduct a hypothesis test at the 1% level of significance to determine whether the true mean
score of all players in a particular bowling league differs from 147. The mean and standard deviation of the scores
of 11 randomly selected players are calculated to be 149.7 and 12.4, respectively. Scores of all players in the
league are known to follow a normal distribution with standard deviation 14.4. We find that our test statistic falls
in our rejection region, and so we conclude:
Problem #4:
(A) We reject the null hypothesis and conclude at the 1% level of significance that we
have sufficient evidence that the true mean scores of all players in that bowling league differs from 147.
(B) We fail to reject the null hypothesis and conclude at the 1% level of significance that we
have sufficient evidence that the true mean scores of all players in that bowling league differs from 147.
(C) We reject the null hypothesis and conclude at the 1% level of significance that we
have sufficient evidence that the true mean scores of all players in that bowling league is smaller than 147.
(D) We fail to reject the null hypothesis and conclude at the 1% level of significance that we
have insufficient evidence that the true mean scores of all players in that bowling league differs from 147.
(E) We fail to reject the null hypothesis and conclude at the 1% level of significance that we
have sufficient evidence that the true mean scores of all players in that bowling league is larger than 147.
(F) We reject the null hypothesis and conclude at the 1% level of significance that we
have insufficient evidence that the true mean scores of all players in that bowling league differs from 147.
(G) We fail to reject the null hypothesis and conclude at the 1% level of significance that we
have insufficient evidence that the true mean scores of all players in that bowling league is smaller than 147.
(H) We reject the null hypothesis and conclude at the 1% level of significance that we
have insufficient evidence that the true mean scores of all players in that bowling league is greater than 147.
Select
Transcribed Image Text:Problem #4: We would like to conduct a hypothesis test at the 1% level of significance to determine whether the true mean score of all players in a particular bowling league differs from 147. The mean and standard deviation of the scores of 11 randomly selected players are calculated to be 149.7 and 12.4, respectively. Scores of all players in the league are known to follow a normal distribution with standard deviation 14.4. We find that our test statistic falls in our rejection region, and so we conclude: Problem #4: (A) We reject the null hypothesis and conclude at the 1% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league differs from 147. (B) We fail to reject the null hypothesis and conclude at the 1% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league differs from 147. (C) We reject the null hypothesis and conclude at the 1% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league is smaller than 147. (D) We fail to reject the null hypothesis and conclude at the 1% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league differs from 147. (E) We fail to reject the null hypothesis and conclude at the 1% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league is larger than 147. (F) We reject the null hypothesis and conclude at the 1% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league differs from 147. (G) We fail to reject the null hypothesis and conclude at the 1% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league is smaller than 147. (H) We reject the null hypothesis and conclude at the 1% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league is greater than 147. Select
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