Question

Assume that you have a sample of n 1 equals 5​, with the sample mean Upper X overbar 1 equals 48​, and a sample standard deviation of Upper S 1 equals 6​, and you have an independent sample of n 2 equals 4 from another population with a sample mean of Upper X overbar 2 equals 30 and the sample standard deviation Upper S 2 equals 7. Assuming the population variances are​ equal, at the 0.01 level of​ significance, is there evidence that mu 1 greater than mu 2​? Determine the hypotheses. Choose the correct answer below.

A. Upper H 0​: mu 1less than or equalsmu 2 Upper H 1​: mu 1 greater than mu 2 B. Upper H 0​: mu 1 greater than mu 2 Upper H 1​: mu 1less than or equalsmu 2 C. Upper H 0​: mu 1equalsmu 2 Upper H 1​: mu 1not equalsmu 2 D. Upper H 0​: mu 1not equalsmu 2 Upper H 1​: mu 1equalsmu 2 Find the test statistic. t Subscript STATequals nothing ​(Round to two decimal places as​ needed.) Find the​ p-value. ​p-valueequals nothing ​(Round to three decimal places as​ needed.) Choose the correct conclusion below. A. Reject Upper H 0. There is sufficient evidence that mu 1 greater than mu 2. B. Do not reject Upper H 0. There is insufficient evidence that mu 1 greater than mu 2. C. Reject Upper H 0. There is insufficient evidence that mu 1 greater than mu 2. D. Do not reject Upper H 0. There is sufficient evidence that mu 1 greater than mu 2. Click to select your answer(s).

Answer 1