Question

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.

Sales ($)	127	137	140	159	136	138
Audit ($)	122	103	127	136	149	120	142

At the 0.025 significance level, can she conclude that the mean daily expenses are greater for the sales staff than the audit staff?

1. State the decision rule. (Round your answer to 3 decimal places.)

Reject H0 if T> _______

2. Compute the pooled estimate of the population variance. (Round your answer to 2 decimal places.)

Period Variance _______

3. Compute the test statistic. (Round your answer to 3 decimal places.)

value of the test statistic ____

4. State your decision about the null hypothesis.

• Do not reject H₀: μ_s ≤ μ_a

• Reject H₀: μ_s ≤ μ_a

5. Estimate the p-value.

• Between 0.05 And 0.10

• Between 0.001 And 0.005

• Between 0.005 And 0.01

• Between 0.01 And 0.025

Answer 1

Ho:μ1-μ2	=	0
Ha: μ1-μ2	>	0
degree of freedom   v=		(n1+n2-2)=	11.000

for 0.025 level ,right tail test &11 df, critical t=			2.201
Decision rule :                   reject Ho if test statistic t>2.201

Pooled Variance Sp2=((n1-1)s21+(n2-1)*s22)/(n1+n2-2)=

180.29

standard error se =Sp*√(1/n1+1/n2)=			7.4703
test stat t =(x1-x2-Δo)/Se=		1.482

Do not reject H₀: μ_s ≤ μ_a

Between 0.05 And 0.10