Asample of 40 observations is selected from one population with a population standard deviation of 3.9. the sample mean is 100.0. a sample of 52 observations is selected from a second population with a population standard deviation of 3.2. the sample mean is 98.1. conduct the following test of hypothesis using the 0.04 significance level. h0 : μ1 = μ2 h1 : μ1 ≠ μ2
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