(a) The content volume of 10 car lubricants from Brand X were recorded as in Table 1. Using a=0.01, test the hypothesis that the average content volume of the Brand X car lubricants is 10 liters. Table 1: Content of containers for 10 car lubricants 9.9 10.3 10.2 10.1 9.7 9.9 9.8 10.3 10.0 10.4

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The content volume of 10 car lubricants from Brand X were recorded as in Table 1. Using
a=0.01, test the hypothesis that the average content volume of the Brand X car lubricants
is 10 liters.
(а)
Table 1: Content of containers for 10 car lubricants
10.3
9.9
10.2
10.1
| 9.7
| 9.9
9.8
10.3
10.0
10.4
Table 2 shows the birth weights (in Kgs) of babies born from fourteen (14) mothers who
(b)
taking a special vitamin supplement. In general, the standard deviation of the birth
weights of babies is 0.44kg. At 95% significance level, test if the vitamin supplement has
any effects on the standard deviation of the birth weight.
Table 2: Birth weights of babies
3.70
4.31
3.73
4.33
3.33
2.58
4.47
3.55
4.66
3.68
3.02
4.09
2.36
3.35
Transcribed Image Text:The content volume of 10 car lubricants from Brand X were recorded as in Table 1. Using a=0.01, test the hypothesis that the average content volume of the Brand X car lubricants is 10 liters. (а) Table 1: Content of containers for 10 car lubricants 10.3 9.9 10.2 10.1 | 9.7 | 9.9 9.8 10.3 10.0 10.4 Table 2 shows the birth weights (in Kgs) of babies born from fourteen (14) mothers who (b) taking a special vitamin supplement. In general, the standard deviation of the birth weights of babies is 0.44kg. At 95% significance level, test if the vitamin supplement has any effects on the standard deviation of the birth weight. Table 2: Birth weights of babies 3.70 4.31 3.73 4.33 3.33 2.58 4.47 3.55 4.66 3.68 3.02 4.09 2.36 3.35
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