A sample of 44 observations is selected from one population with a population st
ID: 3156799 • Letter: A
Question
A sample of 44 observations is selected from one population with a population standard deviation of 3.3. The sample mean is 101.5. A sample of 46 observations is selected from a second population with a population standard deviation of 5.0. The sample mean is 99.9. Conduct the following test of hypothesis using the 0.10 significance level. H0 : 1 = 2 H1 : 1 2 a. This is a -tailed test. b. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) The decision rule is to reject H0 if z is the interval ( , ). c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic d. What is your decision regarding H0? H0. e. What is the p-value? (Round your answer to 4 decimal places.) p-value
Explanation / Answer
test statistics, z = (101.5 - 99.9)/sqrt(3.3^2/44 + 5.0^2/46) = 1.799