Astatistics instructor who teaches a lecture section of 160 students wants to determine whether students have more difficulty with one-tailed hypothesis tests or with two-tailed hypothesis tests. on the next exam, 80 of the students, chosen at random, get a version of the exam with a 10-point question that requires a one-tailed test. the other 80 students get a question that is identical except that it requires a two-tailed test. the one-tailed students average 7.81 points, and their standard deviation is 1.06 points. the two-tailed students average 7.64 points, and their standard deviation is 1.33 points.

The null and alternate hypotheses are: h0: μ1 ≤ μ2 h1: μ1 > μ2 a random sample of 22 items from the first population showed a mean of 113 and a standard deviation of 12. a sample of 16 items for the second population showed a mean of 99 and a standard deviation of 6. use the 0.01 significant level. find the degrees of freedom for unequal variance test. (round down your answer to the nearest whole number.) state the decision rule for 0.010 significance level. (round your answer to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? use the 0.01 significance level.