The null and alternate hypotheses are:
H0 : ?1 =?2
H1 : ?1 ??2
A random sample of 9 observations from one population revealed asample mean of 24 and a sample standard deviation of 3.7. A randomsample of 6 observations from another population revealed a samplemean of 28 and a sample standard deviation of 4.6.
At the 0.01 significance level, is there a difference betweenthe population means?
a. State the decision rule. (Negative values should beindicated by a minus sign. Round your answers to 3 decimalplaces.)
b. Compute the pooled estimate of the population variance.(Round your answer to 3 decimal places.)
c. Compute the test statistic. (Negative value should beindicated by a minus sign. Round your answer to 3 decimalplaces.)
d. State your decision about the null hypothesis.?
e.The p-value is?