Asample of 38 observations is selected from one population with a population standard deviation of 3.4.
the sample mean is 100.5. a sample of 51 observations is selected from a second population with a population standard deviation of 5.8.
the sample mean is 98.8. conduct the following test of hypothesis using the 0.05 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.)

c. compute the value of the test statistic. (round your answer to 2 decimal places.

d. what is your decision regarding h0?

e. what is the p-value? (round your answer to 4 decimal places.)