Random sampling from two normal populations produced the following results: a. Can we infer at the 5% significance level that 1 is greater than 2?

Random sampling from two normal populations produced the following results:

a. Can we infer at the 5% significance level that μ1 is greater than μ2?

b. Repeat part (a) decreasing the standard deviations to s1 = 31 and s2 = 16.

c. Describe what happens when the sample standard deviations get smaller.

d. Repeat part (a) with samples of size 20.

e. Discuss the effects of decreasing the sample size.

f. Repeat part (a) changing the mean of sample 1 to x̄1 = 409

g. Discuss the effect of decreasing x̄1.

X, = 412 $1 = 128 S, = 54 %3D n, = 150 n2 = 150 X, = 405 %3D