example for z test for two sample mean

2
Atlanta Houston 85 125 65 110 100 105 z-Test: Two Sample for Means 120 120 115 85 Variable 1 Variable 2 125 115 Mean 91.71429 101.125 65 65 Known Variance 400 625 90 60 Observations 35 40 115 95 Hypothesized Mean Difference 0 70 105 z -1.8093 80 115 P(Z<=z) one-tail 0.035202 60 75 z Critical one-tail 1.644854 65 100 P(Z<=z) two-tail 0.070405 70 90 z Critical two-tail 1.959964 75 115 65 160 80 65 85 80 95 60 85 85 85 130 85 110 120 95 90 90 90 125 80 90 115 125 110 90 125 85 80 55 125 150 60 120 105 80 110 75 120 105 130 135 120 90 115

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Atlanta Houston

85 125

65 110

100 105 z-Test: Two Sample for Means

120 120

115 85 Variable 1 Variable 2

125 115 Mean 91.71429 101.125

65 65 Known Variance 400 625

90 60 Observations 35 40

115 95 Hypothesized Mean Difference 0

70 105 z -1.8093

80 115 P(Z<=z) one-tail 0.035202

60 75 z Critical one-tail 1.644854

65 100 P(Z<=z) two-tail 0.070405

70 90 z Critical two-tail 1.959964

75 115

65 160

80 65

85 80

95 60

85 85

85 130

85 110

120 95

90 90

90 125

80 90

115 125

110 90

125 85

80 55

125 150

60 120

105 80

110 75

120 105

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t-Test: Two-Sample Assuming Unequal Variances

Atlanta Houston

Mean 91.71429 101.125

Variance 445.5042 622.4199

Observations 35 40

Hypothesized Mean Difference 0

df 73

t Stat -1.76934

P(T<=t) one-tail 0.040506

t Critical one-tail 1.665996

P(T<=t) two-tail 0.081013

t Critical two-tail 1.992997