Question 1120975: Check my work mode .: This shows what is correct or incorrect for the work you have completed so far. It does not indicate completion.
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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 ($) 131 133 148 166 138 140
Audit ($) 123 141 128 143 153 127 131
At the 0.100 significance level, can she conclude that the mean daily expenses are greater for the sales staff than the audit staff?
Click here for the Excel Data File
State the decision rule. (Round your answer to 3 decimal places.)
Compute the pooled estimate of the population variance. (Round your answer to 2 decimal places.)
Compute the test statistic. (Round your answer to 3 decimal places.)
State your decision about the null hypothesis.
Do not reject H0: μs ≤ μa
Reject H0: μs ≤ μa
Estimate the p-value.
Between 0.10 and 0.15
Between 0.001 and 0.005
Between 0.005 and 0.01
Between 0.01 and 0.025
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Ho: u s< = ua
Ha: u s > ua
median for sales is 142.67 with sd 12.89
for audit is 135.14 with sd 10.78
the pooled variance for both is s1^2*n1+s2^2*n2/n1+n2-2, and it is 138.91
test statistic is a t0.90 df=11, critical value is 1.363, one way test
t=difference in means (7.53)/sqrt[sp^2(1/n1+1/n2)]
=sqrt[138.91((1/6)+(1/7))]=sqrt(43)=6.56
value of test statistic is 1.148
Fail to reject Ho and the p-value is between 0.10 and 0.15
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