Question

10. We would like to conduct a hypothesis test at the 10% level of significance to determine whether the true mean score of all players in a bowling league differs from 150. The mean and standard deviation of the scores of 12 randomly selected players are calculated to be 162 and 17, respectively. Scores of all players in the league are known to follow a normal distribution. Using the critical value method, the decision rule is to reject H0 if the value of the test statistic is:

(A) less than −1.796 or greater than 1.796 (B) less than −2.445 or greater 2.445 (C) less than −1.282 or greater than 1.282 (D) less than −1.363 or greater than 1.363 (E) less than −1.645 or greater 1.645

The correct answer is A. Just looking to figure out the solution to get there

Answer 1

hypothesis:-

given data are:-

degree of freedom (df)= (n-1) = (12-1) =11

t critical value for df = 11, alpha= 0.10, two tailed test be:-

[ from t distribution table ]

the critical value method, the decision rule is to reject H0 if the value of the test statistic is:

less than −1.796 or greater than 1.796 (A)

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