Question

Ms. Lisa Monnin is the budget director for Nexus Media Inc. She would like to compare...

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?

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

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

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

  1. State your decision about the null hypothesis. Do not reject H0: μs ≤ μa or Reject H0: μs ≤ μa

  2. 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

Homework Answers

Answer #1

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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