Question 15-21 are related to the following: A random sample of 5 32-ounce carto

ID: 1145390 • Letter: Q

Question

Question 15-21 are related to the following:
A random sample of 5 32-ounce cartons of milk is selected from the automatic filling machine. The contents are precisely measured. The measurements are shown below.
x
32.32
31.88
31.46
31.75
32.68
15 The sum of the fill of the sample containers is,
a 159.95
b 160.09
c 160.24
d 160.39
16 The mean of the sample is,
a 31.98
b 32.02
c 32.08
d 32.12
17 The largest fill deviates from the mean fill by,
a 0.62
b 0.64
c 0.66
d 0.68
18 The sum of squared fills is,
a 5126.6933
b 5024.1594
c 4923.6762
d 4825.2027
19 The sum of squared deviations of the fills is,
a 1.0248
b 0.9317
c 0.8758
d 0.8583
20 The variance of the fills is,
a 0.2329
b 0.1863
c 0.1714
d 0.1646
21 The largest fill deviates from the mean fill by _____ standard deviations.
a 1.53
b 1.37
c 1.29
d 1.25

need 19-21

Explanation / Answer

Sum of deviations

Sum of squared deviations

32.32

0.302

0.091204

31.88

-0.138

0.019044

31.46

-0.558

0.311364

31.75

-0.268

0.071824

32.68

0.662

0.438244

-3.55271E-15

0.93168

Mean

32.018

Variance

0.2329

Stdev

0.483

19. Option b

20. Option a

21. Option b

= (32.68-32.018)/0.483 = (0.662)/0.483 = 1.37