A sample of 4 3 observations has a mean of 1 0 0 and a population standard deviation of 7 . A second sample of 6 2 has a mean of 9 7 and a population standard deviation of 8 . Conduct a z - test about a difference in sample means using a 0 . 0 2 significance level and the following hypotheses:
H 0 : mu 1 - mu 2 < = 0
H 1 : mu 1 - mu 2 > 0