#14 A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15. At the .10 significance level, is there a difference in the population means?

Step 1 State the Null and Alternative Hypothesis

H0: 1 = 2
H1: 1 2

Step 2 Select the Significance Level

= 0.10

Step 3 = n is < than 30, so we use "T" Test Statistics

Step 4 = Find the Critical Value of "T" statistic use the Two Tail Test.

Critical Value= 2.749985 // formula =TINV(0.01,15+17-2)
SP2 = 187.2 // formula =((15-1)*12^2+(17-1)*15^2)/(15+17-2)
t= 1.650563 // formula =(350-342)/SQRT(J20*(1/15+1/17))

Step 5 = Solve Absolute Value of Test Statistic great than Critical Value then reject H0. Otherwise do not reject H0. (formula used // =IF(1.65>2.75,"reject H0","Do not reject H0")

Based on the decision: Do not reject H0.

#17 Ms. Lisa Monnin is the budget director for Nexus Media, Inc. She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample information?

At the .10 significance level, can she conclude that the mean daily expenses are greater for the sales staff than the audit staff? What is the p-value?

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