Q9) A machine fills 12-ounce bottles with soda. For the machine to function properly the standard deviation of the sample must be less than or equal t o 0.03 ounce. A sampl of eight bottles is selected, and the number of ounces of soda in each bottle is giver At a = 0.01, can we reject the claim that the machine is functioning properly? Use th P-value method. Find the 99% confidence level of the population variance. Does th

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Q9) A machine fills 12-ounce bottles with soda. For the machine to function properly,
the standard deviation of the sample must be less than or equal t o 0.03 ounce. A sample
of eight bottles is selected, and the number of ounces of soda in each bottle is given.
At a = 0.01, can we reject the claim that the machine is functioning properly? Use the
P-value method. Find the 99% confidence level of the population variance. Does the
confidence interval interpretation agree with the results of the hypothesis test?
12.03 12.10 12.02 11.98 12.00 12.05 11.97 11.99
Q10) A researcher wishes to see if there is a difference in the cholesterol levels of two
groups of men. A random sample of 30 men between the ages of 25 and 40 is selected
and tested. The average level is 223.Asecond sample of 25 men between the ages of 41
and 56 is selected and tested. The average of this group is 229. The population standard
deviation for both groups is 6.At a = 0.01, is there a difference in the cholesterol levels
between the two groups? Find the 99% confidence interval for the difference of the
two means.
Q11) A researcher wants to compare the variances of the heights (in inches) of four
year college basketball players with those of players in junior colleges. A sample of 30
players from each type of school is selected, and the variances of the heights for each
type are 2.43 and 3.15, respectively. At a = 0.10, is there a significant difference
between the variances of the heights in the two types of schools? Find the 90%
confidence interval for the difference of the variances.
Q12) In a sample of 80 workers from a factory in city A, it was found that 5% were
unable to read, while in a sample of 50 workers in city B, 8% were unable to read. Can
it be concluded that there is a difference in the proportions of nonreaders in the two
cities? Use a = 0.10. Find the 90% confidence interval for the difference of the two
proportions.
Transcribed Image Text:Q9) A machine fills 12-ounce bottles with soda. For the machine to function properly, the standard deviation of the sample must be less than or equal t o 0.03 ounce. A sample of eight bottles is selected, and the number of ounces of soda in each bottle is given. At a = 0.01, can we reject the claim that the machine is functioning properly? Use the P-value method. Find the 99% confidence level of the population variance. Does the confidence interval interpretation agree with the results of the hypothesis test? 12.03 12.10 12.02 11.98 12.00 12.05 11.97 11.99 Q10) A researcher wishes to see if there is a difference in the cholesterol levels of two groups of men. A random sample of 30 men between the ages of 25 and 40 is selected and tested. The average level is 223.Asecond sample of 25 men between the ages of 41 and 56 is selected and tested. The average of this group is 229. The population standard deviation for both groups is 6.At a = 0.01, is there a difference in the cholesterol levels between the two groups? Find the 99% confidence interval for the difference of the two means. Q11) A researcher wants to compare the variances of the heights (in inches) of four year college basketball players with those of players in junior colleges. A sample of 30 players from each type of school is selected, and the variances of the heights for each type are 2.43 and 3.15, respectively. At a = 0.10, is there a significant difference between the variances of the heights in the two types of schools? Find the 90% confidence interval for the difference of the variances. Q12) In a sample of 80 workers from a factory in city A, it was found that 5% were unable to read, while in a sample of 50 workers in city B, 8% were unable to read. Can it be concluded that there is a difference in the proportions of nonreaders in the two cities? Use a = 0.10. Find the 90% confidence interval for the difference of the two proportions.
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