You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 16 containers. Estimate the population standard deviation at a 95% level of confidence. 11.83 11.88 12.02 12.2 12.06 12.21 11.97 11.96 12.19 11.93 11.93 12.25 12.05 12.02 11.91 11.94 (Data checksum: 192.35) Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. Round final answer to 4 decimal places. a) Find the sample standard deviation: b) Find the lower and upper x² critical values at 95% confidence: Lower: Upper: c) Report your confidence interval for o: < 0 <

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Author:Amos Gilat
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You work for a soft-drink company in the quality control
division. You are interested in the standard deviation of one
of your production lines as a measure of consistency. The
product is intended to have a mean of 12 ounces, and your
team would like the standard deviation to be as low as
possible. You gather a random sample of 16 containers.
Estimate the population standard deviation at a 95% level of
confidence.
11.83
11.88 12.02 12.2 12.06 12.21
11.96 12.19 11.93
11.97
11.93 12.25
12.05 12.02 11.91 11.94
(Data checksum: 192.35)
Note: Keep as many decimals as possible while making these
calculations. If possible, keep all answers exact by storing
answers as variables on your calculator or computer. Round
final answer to 4 decimal places.
a) Find the sample standard deviation:
b) Find the lower and upper x² critical values at 95%
confidence:
Lower:
Upper:
c) Report your confidence interval for o:
<o<
Transcribed Image Text:You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 16 containers. Estimate the population standard deviation at a 95% level of confidence. 11.83 11.88 12.02 12.2 12.06 12.21 11.96 12.19 11.93 11.97 11.93 12.25 12.05 12.02 11.91 11.94 (Data checksum: 192.35) Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. Round final answer to 4 decimal places. a) Find the sample standard deviation: b) Find the lower and upper x² critical values at 95% confidence: Lower: Upper: c) Report your confidence interval for o: <o<
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