The null and alternate hypotheses are:
H0 : μ1 =μ2
H1 : μ1 ≠μ2
A random sample of 10 observations from one population revealeda sample mean of 23 and a sample standard deviation of 3.5. Arandom sample of 4 observations from another population revealed asample mean of 27 and a sample standard deviation of 3.6.
At the 0.01 significance level, is there a difference betweenthe population means?
State the decision rule. (Negative values should beindicated by a minus sign. Round your answers to 3 decimalplaces.)
Compute the pooled estimate of the population variance.(Round your answer to 3 decimal places.)
Compute the test statistic. (Negative value should beindicated by a minus sign. Round your answer to 3 decimalplaces.)
