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 ($) | 129 | 137 | 142 | 122 | 137 | 145 | |
Audit ($) | 128 | 128 | 128 | 140 | 148 | 110 | 132 |
At the 0.100 significance level, can she conclude that the mean daily expenses are greater for the sales staff than the audit staff?
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 H_{0}: μ_{s} ≤ μ_{a} or Reject H_{0}: μ_{s} ≤ μ_{a}
Estimate the p-value: Between 0.20 And 0.25
Between 0.001 And 0.005
Between 0.005 And 0.01
Between 0.01 And 0.025
Ans:
Sales | Audit | |
1 | 129 | 128 |
2 | 137 | 128 |
3 | 142 | 128 |
4 | 122 | 140 |
5 | 137 | 148 |
6 | 145 | 110 |
7 | 132 | |
mean | 135.333 | 130.571 |
std. dev. | 8.501 | 11.816 |
a)df=6+7-2=11
Criitcal t value=1.363
Reject H0,if t>1.3631
b)Pooled variance=((6-1)*8.501^2+(7-1)*11.816^2)/(6+7-2)=109.00
c)
Test statistic:
t=(135.333-130.571)/SQRT(109.0038*((1/6)+(1/7)))
t=0.820
d)
Do not reject H0: μs ≤ μa
e)
p-value=TDIST(0.820,11,1)=0.2148
Between 0.20 And 0.25
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