# Question: A sample of 40 observations is selected from one population

A sample of 40 observations is selected from one population with a population standard deviation of 5. The sample mean is 102. A sample of 50 observations is selected from a second population with a population standard deviation of 6. The sample mean is 99. Conduct the following test of hypothesis using the .04 significance level.

H0: µ1 = µ2

H1: µ1 ≠ µ2

a. Is this a one-tailed or a two-tailed test?

b. State the decision rule.

c. Compute the value of the test statistic.

d. What is your decision regarding H0?

e. What is the p-value?

H0: µ1 = µ2

H1: µ1 ≠ µ2

a. Is this a one-tailed or a two-tailed test?

b. State the decision rule.

c. Compute the value of the test statistic.

d. What is your decision regarding H0?

e. What is the p-value?

**View Solution:**## Answer to relevant Questions

A sample of 65 observations is selected from one population with a population standard deviation of 0.75. The sample mean is 2.67. A sample of 50 observations is selected from a second population with a population standard ...The null and alternate hypotheses are:H0: µ1 = µ2H1: µ1 ≠ µ2(a) State the decision rule, (b) Compute the pooled estimate of the population variance, (c) Compute the test statistic, (d) State your decision about the ...The null and alternate hypotheses are:H0: µ1 = ≤µ2H1: µ1 ≠ > µ2A random sample of 20 items from the first population showed a mean of 100 and a standard deviation of 15. A sample of 16 items for the second population ...Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the night shift than on the day shift. Assume the population standard deviation for the number of ...The Willow Run Outlet Mall has two Haggar Outlet Stores, one located on Peach Street and the other on Plum Street. The two stores are laid out differently, but both store managers claim their layout maximizes the amounts ...Post your question