Problem #4: We would like to conduct a hypothesis test at the 4% level of significance to determine whether the true mean score of all players in a particular bowling league differs from 140. The mean and standard deviation of the scores of 13 randomly selected players are calculated to be 143 and 15.3, respectively. Scores of all players in the league are known to follow a normal distribution with standard deviation 18.3. We find that our test statistic does not fall in our rejection region, and so we conclude: (A) We fail to reject the null hypothesis and conclude at the 4% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league is smaller than 140. (B) We reject the null hypothesis and conclude at the 4% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league differs from 140. (C) We fail to reject the null hypothesis and conclude at the 4% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league differs from 140. (D) We reject the null hypothesis and conclude at the 4% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league is greater than 140. (E) We reject the null hypothesis and conclude at the 4% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league is smaller than 140. (F) We reject the null hypothesis and conclude at the 4% level of significance that we have insufficient evidence that the true mean scores of all players in that bowling league differs from 140. (G) We fail to reject the null hypothesis and conclude at the 4% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league is larger than 140. (H) We fail to reject the null hypothesis and conclude at the 4% level of significance that we have sufficient evidence that the true mean scores of all players in that bowling league differs from 140.