NO DESIGNATION AGE TENURE SALARY PERF. SCORE32 PROJECT MANAGER 45 6 70.0 7541 PROJECT MANAGER 42 5 54.0 6949 PROJECT MANAGER 42 4 70.0 6058 PROJECT MANAGER 47 7 65.0 6563 PROJECT MANAGER 47 6 67.0 6080 PROJECT MANAGER 41 3 80.0 7087 PROJECT MANAGER 42 9 70.0 6591 PROJECT MANAGER 43 4 60.0 5693 PROJECT MANAGER 44 5 67.0 8999 PROJECT MANAGER 48 5 56.0 67

1 SOFTWARE ENGINEER 24 3 26.0 783 SOFTWARE ENGINEER 22 1 26.0 867 SOFTWARE ENGINEER 23 1 24.0 758 SOFTWARE ENGINEER 24 2 25.0 80

12 SOFTWARE ENGINEER 28 6 26.0 7321 SOFTWARE ENGINEER 25 7 56.0 5523 SOFTWARE ENGINEER 26 6 25.0 5035 SOFTWARE ENGINEER 22 1 25.0 6039 SOFTWARE ENGINEER 27 1 26.0 5542 SOFTWARE ENGINEER 25 1 26.0 5745 SOFTWARE ENGINEER 25 3 30.0 8946 SOFTWARE ENGINEER 24 2 21.0 5550 SOFTWARE ENGINEER 27 1 23.0 5551 SOFTWARE ENGINEER 23 3 29.0 7560 SOFTWARE ENGINEER 21 3 43.0 6961 SOFTWARE ENGINEER 25 2 26.0 5664 SOFTWARE ENGINEER 22 2 24.0 5567 SOFTWARE ENGINEER 29 1 30.0 7668 SOFTWARE ENGINEER 27 6 21.0 4070 SOFTWARE ENGINEER 31 7 48.0 6971 SOFTWARE ENGINEER 24 1 51.0 7272 SOFTWARE ENGINEER 25 2 23.0 6073 SOFTWARE ENGINEER 29 2 29.0 6377 SOFTWARE ENGINEER 25 4 46.5 8582 SOFTWARE ENGINEER 28 2 43.7 7888 SOFTWARE ENGINEER 26 1 43.7 7892 SOFTWARE ENGINEER 29 5 45.0 6894 SOFTWARE ENGINEER 27 7 38.0 7895 SOFTWARE ENGINEER 28 2 39.0 6497 SOFTWARE ENGINEER 29 6 60.0 71

9 SR. SYSTEMS ENGINEER 30 4 30.0 8314 SR. SYSTEMS ENGINEER 32 1 31.6 8115 SR. SYSTEMS ENGINEER 31 1 29.0 7417 SR. SYSTEMS ENGINEER 33 2 30.1 7919 SR. SYSTEMS ENGINEER 30 6 31.0 7020 SR. SYSTEMS ENGINEER 34 4 30.0 8926 SR. SYSTEMS ENGINEER 29 1 30.1 6028 SR. SYSTEMS ENGINEER 31 3 28.2 6029 SR. SYSTEMS ENGINEER 27 3 30.0 5547 SR. SYSTEMS ENGINEER 36 2 32.0 7053 SR. SYSTEMS ENGINEER 36 2 32.0 6059 SR. SYSTEMS ENGINEER 35 1 28.5 6769 SR. SYSTEMS ENGINEER 30 1 32.0 6075 SR. SYSTEMS ENGINEER 29 4 32.0 6076 SR. SYSTEMS ENGINEER 35 4 32.2 6381 SR. SYSTEMS ENGINEER 34 4 32.0 69

83 SR. SYSTEMS ENGINEER 31 1 29.8 6884 SR. SYSTEMS ENGINEER 33 3 30.6 7885 SR. SYSTEMS ENGINEER 30 6 55.5 6789 SR. SYSTEMS ENGINEER 29 2 28.8 64

2 SYSTEMS ENGINEER 24 3 48.0 834 SYSTEMS ENGINEER 25 2 32.0 825 SYSTEMS ENGINEER 26 1 29.0 866 SYSTEMS ENGINEER 27 3 33.0 79

10 SYSTEMS ENGINEER 28 4 28.0 9111 SYSTEMS ENGINEER 27 2 33.0 8313 SYSTEMS ENGINEER 23 1 26.0 7516 SYSTEMS ENGINEER 27 2 32.0 8718 SYSTEMS ENGINEER 26 4 30.0 9422 SYSTEMS ENGINEER 26 3 38.0 6524 SYSTEMS ENGINEER 22 2 24.0 6025 SYSTEMS ENGINEER 25 2 24.0 5527 SYSTEMS ENGINEER 28 4 50.0 7030 SYSTEMS ENGINEER 23 1 28.0 5831 SYSTEMS ENGINEER 26 2 33.0 6233 SYSTEMS ENGINEER 24 2 36.0 7534 SYSTEMS ENGINEER 25 2 32.0 6736 SYSTEMS ENGINEER 27 4 29.0 6937 SYSTEMS ENGINEER 30 5 40.0 7538 SYSTEMS ENGINEER 27 2 38.0 7340 SYSTEMS ENGINEER 24 3 28.0 6743 SYSTEMS ENGINEER 25 1 29.0 6744 SYSTEMS ENGINEER 25 2 32.0 7648 SYSTEMS ENGINEER 22 1 43.0 5052 SYSTEMS ENGINEER 21 1 29.0 7054 SYSTEMS ENGINEER 21 1 27.2 5555 SYSTEMS ENGINEER 22 1 41.5 5556 SYSTEMS ENGINEER 22 1 29.7 6757 SYSTEMS ENGINEER 28 5 45.0 6662 SYSTEMS ENGINEER 23 1 28.0 7065 SYSTEMS ENGINEER 25 2 29.0 6766 SYSTEMS ENGINEER 26 4 32.0 6974 SYSTEMS ENGINEER 24 2 29.0 7178 SYSTEMS ENGINEER 25 2 29.7 7879 SYSTEMS ENGINEER 23 4 27.8 6786 SYSTEMS ENGINEER 29 5 27.5 7790 SYSTEMS ENGINEER 26 3 29.7 6796 SYSTEMS ENGINEER 29 2 32.0 7598 SYSTEMS ENGINEER 29 4 28.0 64

100 SYSTEMS ENGINEER 26 3 65.0 79

NO DESIGNATION AGE TENURE SALARY PERF. SCORE1 SOFTWARE ENGINEER 24 3 26.0 782 SYSTEMS ENGINEER 24 3 48.0 833 SOFTWARE ENGINEER 22 1 26.0 864 SYSTEMS ENGINEER 25 2 32.0 825 SYSTEMS ENGINEER 26 1 29.0 866 SYSTEMS ENGINEER 27 3 33.0 797 SOFTWARE ENGINEER 23 1 24.0 758 SOFTWARE ENGINEER 24 2 25.0 809 SR. SYSTEMS ENGINEER 30 4 30.0 83

10 SYSTEMS ENGINEER 28 4 28.0 9111 SYSTEMS ENGINEER 27 2 33.0 8312 SOFTWARE ENGINEER 28 6 26.0 7313 SYSTEMS ENGINEER 23 1 26.0 7514 SR. SYSTEMS ENGINEER 32 1 31.6 8115 SR. SYSTEMS ENGINEER 31 1 29.0 7416 SYSTEMS ENGINEER 27 2 32.0 8717 SR. SYSTEMS ENGINEER 33 2 30.1 7918 SYSTEMS ENGINEER 26 4 30.0 9419 SR. SYSTEMS ENGINEER 30 6 31.0 7020 SR. SYSTEMS ENGINEER 34 4 30.0 8921 SOFTWARE ENGINEER 25 7 56.0 5522 SYSTEMS ENGINEER 26 3 38.0 6523 SOFTWARE ENGINEER 26 6 25.0 5024 SYSTEMS ENGINEER 22 2 24.0 6025 SYSTEMS ENGINEER 25 2 24.0 5526 SR. SYSTEMS ENGINEER 29 1 30.1 6027 SYSTEMS ENGINEER 28 4 50.0 7028 SR. SYSTEMS ENGINEER 31 3 28.2 6029 SR. SYSTEMS ENGINEER 27 3 30.0 5530 SYSTEMS ENGINEER 23 1 28.0 5831 SYSTEMS ENGINEER 26 2 33.0 6232 PROJECT MANAGER 45 6 70.0 7533 SYSTEMS ENGINEER 24 2 36.0 7534 SYSTEMS ENGINEER 25 2 32.0 6735 SOFTWARE ENGINEER 22 1 25.0 6036 SYSTEMS ENGINEER 27 4 29.0 6937 SYSTEMS ENGINEER 30 5 40.0 7538 SYSTEMS ENGINEER 27 2 38.0 7339 SOFTWARE ENGINEER 27 1 26.0 5540 SYSTEMS ENGINEER 24 3 28.0 6741 PROJECT MANAGER 42 5 54.0 6942 SOFTWARE ENGINEER 25 1 26.0 5743 SYSTEMS ENGINEER 25 1 29.0 6744 SYSTEMS ENGINEER 25 2 32.0 76

45 SOFTWARE ENGINEER 25 3 30.0 8946 SOFTWARE ENGINEER 24 2 21.0 5547 SR. SYSTEMS ENGINEER 36 2 32.0 7048 SYSTEMS ENGINEER 22 1 43.0 5049 PROJECT MANAGER 42 4 70.0 6050 SOFTWARE ENGINEER 27 1 23.0 5551 SOFTWARE ENGINEER 23 3 29.0 7552 SYSTEMS ENGINEER 21 1 29.0 7053 SR. SYSTEMS ENGINEER 36 2 32.0 6054 SYSTEMS ENGINEER 21 1 27.2 5555 SYSTEMS ENGINEER 22 1 41.5 5556 SYSTEMS ENGINEER 22 1 29.7 6757 SYSTEMS ENGINEER 28 5 45.0 6658 PROJECT MANAGER 47 7 65.0 6559 SR. SYSTEMS ENGINEER 35 1 28.5 6760 SOFTWARE ENGINEER 21 3 43.0 6961 SOFTWARE ENGINEER 25 2 26.0 5662 SYSTEMS ENGINEER 23 1 28.0 7063 PROJECT MANAGER 47 6 67.0 6064 SOFTWARE ENGINEER 22 2 24.0 5565 SYSTEMS ENGINEER 25 2 29.0 6766 SYSTEMS ENGINEER 26 4 32.0 6967 SOFTWARE ENGINEER 29 1 30.0 7668 SOFTWARE ENGINEER 27 6 21.0 4069 SR. SYSTEMS ENGINEER 30 1 32.0 6070 SOFTWARE ENGINEER 31 7 48.0 6971 SOFTWARE ENGINEER 24 1 51.0 7272 SOFTWARE ENGINEER 25 2 23.0 6073 SOFTWARE ENGINEER 29 2 29.0 6374 SYSTEMS ENGINEER 24 2 29.0 7175 SR. SYSTEMS ENGINEER 29 4 32.0 6076 SR. SYSTEMS ENGINEER 35 4 32.2 6377 SOFTWARE ENGINEER 25 4 46.5 8578 SYSTEMS ENGINEER 25 2 29.7 7879 SYSTEMS ENGINEER 23 4 27.8 6780 PROJECT MANAGER 41 3 80.0 7081 SR. SYSTEMS ENGINEER 34 4 32.0 6982 SOFTWARE ENGINEER 28 2 43.7 7883 SR. SYSTEMS ENGINEER 31 1 29.8 6884 SR. SYSTEMS ENGINEER 33 3 30.6 7885 SR. SYSTEMS ENGINEER 30 6 55.5 6786 SYSTEMS ENGINEER 29 5 27.5 7787 PROJECT MANAGER 42 9 70.0 6588 SOFTWARE ENGINEER 26 1 43.7 7889 SR. SYSTEMS ENGINEER 29 2 28.8 64

90 SYSTEMS ENGINEER 26 3 29.7 6791 PROJECT MANAGER 43 4 60.0 5692 SOFTWARE ENGINEER 29 5 45.0 6893 PROJECT MANAGER 44 5 67.0 8994 SOFTWARE ENGINEER 27 7 38.0 7895 SOFTWARE ENGINEER 28 2 39.0 6496 SYSTEMS ENGINEER 29 2 32.0 7597 SOFTWARE ENGINEER 29 6 60.0 7198 SYSTEMS ENGINEER 29 4 28.0 6499 PROJECT MANAGER 48 5 56.0 67

100 SYSTEMS ENGINEER 26 3 65.0 79MEAN 28.57 2.99 36.18 69.24STANDARD DEVIATION 6.27 1.86 13.19 10.44

STANDARD ERROR OF M 0.63 0.19 1.32 1.04

Null Hypothesis 27.00 2.00 33.00 65.00

Z Test Statistic 2.51 5.33 2.41 4.06one tailed 0.0061 0.0000 0.0079 0.0000

two tailed 0.0122 0.0000 0.0158 0.0000ZTEST for one tailed 0.0061 0.0000 0.0079 0.0000

two tailed 0.0122 0.0000 0.0158 0.0000

Getting Z test statistics from -2.5057 -5.334348748 -2.413231261 -4.059821751

p-Value

1-Tail

Page 6

Z Test of Hypothesis for the Mean

368Level of Significance 0.05Population Standard Deviation 15Sample Size 25Sample Mean 372.5Standard Error of the Mean 3Z Test Statistic 1.5

Upper-Tail TestUpper Critical Value 1.644853627

0.066807201Do not reject the null hypothesis

Null Hypothesis m=

p-Value

What if example, section 7.11.1

Page 7

10

Z Test of Hypothesis for the Mean

368Level of Significance 0.05Population Standard Deviation 15Sample Size 25Sample Mean 372.5Standard Error of the Mean 3Z Test Statistic 1.5

Two-Tailed TestLower Critical Value -1.959963985Upper Critical Value 1.959963985

0.133614403Do not reject the null hypothesis

Null Hypothesis m=

p-Value

s.no. firm A firm B (salary in ,000s)1 10 352 12 343 15 214 20 165 11 176 13 187 14 208 13 159 11 30

10 25 4111 30 3012 35 20

s.no. Pef.Score (Perf.Score (Diff (x) Diff (x sq.)1 60 64 4 162 70 75 5 253 65 68 3 94 63 64 1 15 67 69 2 46 70 74 4 167 73 75 2 48 75 79 4 169 64 70 6 36

10 68 71 3 9means 67.5 70.9 34 136

X bar 3.4X bar sq. 11.56

SD 1.51SE 0.48

T value 1.89TINV T critical 1.83

Observed Frequency Total Level of Si 0.05 Fo45 50 95 4555 50 105 50

Total 100 100 200 55Expected Frequency 50

47.5 47.5Total 52.5 52.5

Formula usedP value for chi-di 0.479 CHITESTChi-Square Stati 0.5013 CHIINV

0.479 CHIDISTCritical Chi-Squ 3.8415 CHIINV

Do not reject the null hypothesis

Fe (fo-fe) sq (fo-fe) sq/fe47.5 6.25 0.13157947.5 6.25 0.13157952.5 6.25 0.11904852.5 6.25 0.119048

0.501253

Observed Frequency Total Level of Si 0.0540 55 45 50 19060 45 55 50 210

Total 100 100 100 100 400Expected Frequency

47.5 47.5 47.5 47.552.5 52.5 52.5 52.5

Formula usedP value for chi-di 0.1709 CHITESTChi-Square Stati 5.0125 CHIINV

0.1709 CHIDISTCritical Chi-Squ 7.8147 CHIINV

Do not reject the null hypothesis

Observed Frequency Total Level of Si 0.05 Fo5 4 1 10 51 1 8 10 4

Total 6 5 9 20 1Expected Frequency 1

3.00 2.50 4.50 13.00 2.50 4.50 8

Formula usedP value for 0.01 CHITESTChi-Square 9.91 CHIINV

0.01 CHIDISTCritical C 5.99 CHIINV

Reject the null hypothesis

Fe (fo-fe) sq (fo-fe) sq/fe3.00 4.00 1.332.50 2.25 0.904.50 12.25 2.723.00 4.00 1.332.50 2.25 0.904.50 12.25 2.72

9.91

1 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 22 22 22 22 23 23 23 23 23 23 23 23 23 23 2