Question: Figure 10.5 gives the p-value for testing Ho:Mm - Ma= 0 verses Ha:Mm - Ma =0. Use the p-value to test Ho verses Ha by

Figure 10.5 gives the p-value for testing Ho:Mm - Ma= 0 verses Ha:Mm - Ma =0. Use the p-value to test Ho verses Ha by setting a equal to .10, .05, .01, and .001. How much evidence is there that the mean weekly expenses at Miller's and Albert's differ?

figure 10.5 Two-sample T for Millers and Alberts

n Mean StDev SE Mean

Miller's 10 121.921.40 0.44

Albert's 10 114.81 1.84 0.58

Difference = mu (Millers) - mu Alberts)Estimate for difference: 7.10900

95% CI for difference: (5.57350, 8.64450)

T-test of diff = 0 (vs not =): T-Value = 9.73 P-Value = 0.000 DF = 18

Both used Pooled StDev = 1.6343

Miller's

Albert's

mean(Mm)

mean(Ma)

variance(Mm)

variance(Ma)

$119.25

$111.99

121.92

114.81

$7.11

$7.94

$121.32

$114.88

121.92

114.81

$0.36

$0.01

$122.34

$115.11

121.92

114.81

$0.18

$0.09

$120.14

$117.02

121.92

114.81

$3.15

$4.90

$122.19

$116.89

121.92

114.81

$0.08

$4.34

$123.71

$116.62

121.92

114.81

$3.22

$3.29

$121.72

$115.38

121.92

114.81

$0.04

$0.33

$122.42

$114.40

121.92

114.81

$0.25

$0.17

$123.63

$113.91

121.92

114.81

$2.94

$0.80

$122.44

$111.87

121.92

114.81

$0.27

$8.63

total

$1,219.16

$1,148.07

total

$17.60

$30.48

mean

$121.92

$114.81

variance

$1.96

$3.39

s.deviation

$1.40

1.84

s.error men

$0.44

0.58

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