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 80% level of confidence. 12.06 12.05 11.92 12.03 12.06 11.97 11.92 12.07 11.97 12.13 12 12.02 11.97 11.86 12.16 11.89 (Data checksum: 192.08) 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. a) Find the sample standard deviation: b) Find the lower and upper x critical values at 80% confidence: Lower: Upper: c) Report your confidence interval for o: ( D

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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 80% level of confidence.
12.06
12.05
11.92
12.03
12.06
11.97
11.92
12.07
11.97
12.13
12
12.02
11.97
11.86
12.16
11.89
(Data checksum: 192.08)
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.
a) Find the sample standard deviation:
b) Find the lower and upper x critical values at 80% confidence:
Lower:
Upper:
c) Report your confidence interval for 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 80% level of confidence. 12.06 12.05 11.92 12.03 12.06 11.97 11.92 12.07 11.97 12.13 12 12.02 11.97 11.86 12.16 11.89 (Data checksum: 192.08) 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. a) Find the sample standard deviation: b) Find the lower and upper x critical values at 80% confidence: Lower: Upper: c) Report your confidence interval for o: (
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