# (Solved): a) Calculate the standard error. Round your answer to four decimal places. b) Compute a test statis ...

a) Calculate the standard error. Round your answer to four decimal places. b) Compute a test statistic to test the null hypothesis of

H_(0):\mu =100

. In any intermediate calculations, make sure you are using at least four decimal places. Round your FINAL answer to two decimal places. (Question ID: 831) Suppose you are conducting a hypothesis test for a difference in means and calculate a test statistic of 8.76. Based on this, which option gives the correct statistical decision and possible error? Reject

H_(0)

, we may have committed a Type I error. Reject

H_(0)

, we may have committed a Type II error. Fail to reject

H_(0)

, we may have committed a Type I error. Fail to reject

H_(0)

, we may have committed a Type II error. (Question ID: 2763) Why do smaller p-values provide stronger evidence against the null hypothesis than larger p-values? (Hint: Incorporate the definition of

p