A random sample of size n=14 obtained from a population that is normally distributed results in a sample mean of

44.8 and sample standard deviation 11.8. An independent sample of size n=20 obtained from a population that is normally distributed results in a sample mean of 52.1 and sample standard deviation 15.6. Does this constitute sufficient evidence to conclude that the population means differ at the =0.01 level of significance?

I need help with part 3 and 4

Part 1

The given situation is about a

mean comma mu .mean,.

Part 2

Write the hypotheses for the test.

H0:

mu 1 equals mu 21=2

H1:

mu 1 not equals mu 212

Part 3

Calculate the test statistic?

Part 4

Calculate the p-value?

(Round to two decimal places as needed.)