A random sample of n1 = 49 measurements from a population with population standard deviation 1 = 3
had a sample mean of x1 = 8. An independent random sample of n2 = 64 measurements from a second population with population standard deviation 2 = 4 had a sample mean of x2 = 10. Test the claim that the population means are different. Use level of significance 0.01.
(b)
State the hypotheses. (Enter != for ≠ as needed.)
H0:
H1:
(c)
Compute
x1 − x2.
x1 − x2 =
Compute the corresponding sample distribution value. (Test the difference 1 − 2. Round your answer to two decimal places.)
(d)
Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
P-value =
