Stats 1

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44.A

range = 49.3 – 23.5 = 25.8

44.B


29.5

–1.53

2.3409

870.25

49.3

18.27

333.7929

2430.49

30.6

–0.43

0.1849

936.36

28.2

–2.83

8.0089

795.24

28.0

–3.03

9.1809

784.00

26.3

–4.73

22.3729

691.69

33.9

2.87

8.2369

1149.21

29.4

–1.63

2.6569

864.36

23.5

–7.53

56.7009

552.25

31.6

0.57

0.3249

998.56


44.C


44.D


45.A

vAw8Y4aiGYT8AQgt7McZMthhlIcZihe5Uiwzo60n= 115.58.  The deviations from the mean are 116.4 – 115.58 = .82, 115.9 – 115.58 = .32, 114.6 –115.58 = –.98, 115.2 – 115.58 = –.38, and 115.8 – 115.58 = .22. Notice that the deviations from the mean sum to zero, as they should.

45.B

s2 = [(.82)2 + (.32)2 + (-.98)2 + (-.38)2 + (.22)2]/(5 – 1) = 1.928/4 = .482, so s = .694.

45.C

gFzBOzXVqdzQuAAAAAElFTkSuQmCC  = 66795.61, so s2 = Sxx/(n – 1) = pXh6MCqeZ15miBioKCQEVBQaCiIFBRUA4kfwBjSn=                                   (66795.61 –(577.9)2 /5)/4 = 1.928/4 = .482.

45.D

The new sample values are: 16.4  15.9  14.6  15.2  15.8.  While the new mean is 15.58, all the deviations are the same as in part (a), and the variance of the transformed data is identical to that of part (b).

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