In: Statistics and Probability
The null and alternate hypotheses are:
H0 : μ1 =
μ2
H1 : μ1 ≠
μ2
A random sample of 11 observations from one population revealed a sample mean of 23 and a sample standard deviation of 1.1. A random sample of 4 observations from another population revealed a sample mean of 24 and a sample standard deviation of 1.3.
At the 0.05 significance level, is there a difference between the population means?
State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)