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 15 containers. Estimate the population standard deviation at a 80% level of confidence. 12.02 12.1 11.94 12.14 11.87 11.89 12.03 11.85 12.05 11.92 11.94 12.22 12 12 11.99 (Data checksum: 179.96) 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: 0.1 v o b) Find the lower and upper x critical values at 80% confidence: Lower: 7.7 V o Upper: 21. v o c) Report your confidence interval for o: ( 0.c X o 0.13732364250936)
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 15 containers. Estimate the population standard deviation at a 80% level of confidence. 12.02 12.1 11.94 12.14 11.87 11.89 12.03 11.85 12.05 11.92 11.94 12.22 12 12 11.99 (Data checksum: 179.96) 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: 0.1 v o b) Find the lower and upper x critical values at 80% confidence: Lower: 7.7 V o Upper: 21. v o c) Report your confidence interval for o: ( 0.c X o 0.13732364250936)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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last step C. pleae do not use excel. show steps pls.
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 15 containers. Estimate the population standard deviation at a 80% level of confidence.
12.02
12.1
11.94
12.14
11.87
11.89
12.03
11.85
12.05
11.92
11.94
12.22
12
12
11.99
(Data checksum: 179.96)
Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact
by
answers as variables on your calculator or computer.
a) Find the sample standard deviation:
0.1 v o
b) Find the lower and upper x critical values at 80% confidence:
Lower: 7.7 o
Upper: 21. vo
c) Report your confidence interval for o: (
0.c X o 0.13732364250936 )
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