A jar of peanuts es supposed to have 12 ounces of peanuts. The filling machine inevitably experiences fluctuations in filling, so a quality control manager randomly samples 12 jars of peanuts from the storage facility and measures their com She obtains the accompanying data Complete parts (a) through (d) below (a) Venty that the data are normally distributed by constructed a normal probability plot. Choose the correct normal probability plot below OA OB. OC A expected a-score -1.754 11.2 observation O No O Yes 12.6 Q a C Are the data normally distributed? (b) Determine the sample standard deviation (Round to three decimal places as needed) Round A expected zocoro 126 # 11.2 -1.75 observation 1.75 Q G & expected 2-score 1.75 112 oboavation 126 O G OD & expected scors 175- 175 112 cbservation 12.6 Q a

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Peanut Jar Data:

11.94

11.74

12.25

11.32

11.85

11.86

11.59

12.15

11.76

11.55

12.31

12.59

(c) Construct a 99% confidence interval for the population standard deviation of the number of ounces of peanuts. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to three decimal places as needed.)

- ○ A. There is a 99% chance that the true population standard deviation is between [ ] and [ ].
  
- ○ B. If repeated samples are taken, 99% of them will have the sample standard deviation between [ ] and [ ].

- ○ C. There is 99% confidence that the population standard deviation is between [ ] and [ ].

(d) The quality control manager wants the machine to have a population standard deviation below 0.20 ounce. Does the confidence interval validate this desire?

- ○ A. No—the lower bound of the confidence interval is less than 0.20.

- ○ B. Yes—the lower bound of the confidence interval is less than 0.20.

- ○ C. No—the lower bound of the confidence interval is greater than 0.20.

- ○ D. Yes—the lower bound of the confidence interval is greater than 0.20.
Transcribed Image Text:(c) Construct a 99% confidence interval for the population standard deviation of the number of ounces of peanuts. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to three decimal places as needed.) - ○ A. There is a 99% chance that the true population standard deviation is between [ ] and [ ]. - ○ B. If repeated samples are taken, 99% of them will have the sample standard deviation between [ ] and [ ]. - ○ C. There is 99% confidence that the population standard deviation is between [ ] and [ ]. (d) The quality control manager wants the machine to have a population standard deviation below 0.20 ounce. Does the confidence interval validate this desire? - ○ A. No—the lower bound of the confidence interval is less than 0.20. - ○ B. Yes—the lower bound of the confidence interval is less than 0.20. - ○ C. No—the lower bound of the confidence interval is greater than 0.20. - ○ D. Yes—the lower bound of the confidence interval is greater than 0.20.
A jar of peanuts is supposed to have 12 ounces of peanuts. The filling machine inevitably experiences fluctuations in filling, so a quality control manager randomly samples 12 jars of peanuts from the storage facility and measures their contents. She obtains the accompanying data. Complete parts (a) through (b) below.

(a) Verify that the data are normally distributed by constructing a normal probability plot. Choose the correct normal probability plot below:

- Option A: A graph with a diagonal line on a grid with observations on the x-axis and expected z-scores on the y-axis.
- Option B: A graph with a diagonal line on a grid with observations on the x-axis and expected z-scores on the y-axis.
- Option C: A graph with a diagonal line on a grid with observations on the x-axis and expected z-scores on the y-axis.
- Option D: A graph with a diagonal line on a grid with observations on the x-axis and expected z-scores on the y-axis.

Are the data normally distributed?
- No
- Yes

(b) Determine the sample standard deviation.
s = _____ (Round to three decimal places as needed.)
Transcribed Image Text:A jar of peanuts is supposed to have 12 ounces of peanuts. The filling machine inevitably experiences fluctuations in filling, so a quality control manager randomly samples 12 jars of peanuts from the storage facility and measures their contents. She obtains the accompanying data. Complete parts (a) through (b) below. (a) Verify that the data are normally distributed by constructing a normal probability plot. Choose the correct normal probability plot below: - Option A: A graph with a diagonal line on a grid with observations on the x-axis and expected z-scores on the y-axis. - Option B: A graph with a diagonal line on a grid with observations on the x-axis and expected z-scores on the y-axis. - Option C: A graph with a diagonal line on a grid with observations on the x-axis and expected z-scores on the y-axis. - Option D: A graph with a diagonal line on a grid with observations on the x-axis and expected z-scores on the y-axis. Are the data normally distributed? - No - Yes (b) Determine the sample standard deviation. s = _____ (Round to three decimal places as needed.)
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