You are testing the claim that the mean run time of drama movies is greater than the mean run time for action movies. You sample 20 drama movies, and the sample is 87.7 minutes with a sample standard...

Extracted text: You are testing the claim that the mean run time of drama movies is greater than the mean run time for action movies. You sample 20 drama movies, and the sample is 87.7 minutes with a sample standard deviation of 8.2 minutes. You sample 16 action movies, and the sample mean is 77.9 minutes with a standard deviation of 11.3 minutes. Test the claim using a 0.02 level of significance. Assume run times are approximately normally distributed. a) What are the correct hypotheses? Hn: Select an answer H: [Select an answer b) Are the population variances known or unknown? Select an answer c) Should we use z or t? Select an answer d) Should we assume equal population variances or not? Select an answer e) The degrees of freedom is 26. Give the Critical Value(s) for a signicance level of 0.02 = (If you have a 2-sided test, enter BOTH critical values separated by a comma. Round z-values to 2 decimals, and t-values to 3 decimals.) f) Give the critical region. Your answer should details what actions one takes based on criteria. g) The test statistic is 2.91. Based on your critical value, the correct decision is to Select an answer h) The correct summary would be: Select an answer runtime of drama movies is greater than the mean runtime of actions movies at a significance level of 0.02. v that the mean Add Work