The average fill volume for a soda company's cans is supposed to be 12 ounces. The filling machine has a known standard deviation of 0.11 ounces. Each week, the company selects a simple random sample of 30 cans and carefully measures the volume in each can. The results are provided in the accompanying table. Based on the data in the sample, what would you conclude about whether the filling process is working as expected? Base your answer on the probability of observing the sample mean you compute for these sample data. E Click the icon to view the data table. Is the filling process working as expected? Select the correct choice below and fill in the answer box within your choice. (Round to four decimal places as needed.) O A. The probability of getting a sample mean at least as far from the target mean (either above or below) as the observed value is which is not very low, so it is reasonable to conclude that the prooess is working as expected. O B. The probability of getting a sample mean at least as far from the target mean (either above or below) as the observed value is which is low, so it is reasonable to conclude that the process is not working as expected. Data table Volume of 30 soda cans O 11.95 12.04 11.93 12.05 12.05 11.93 11.94 11.95 12.05 11.05 11.93 11.94 11.93 12.05 12.04 12.05 12.05 12.04 11.93 11.93 12.05 11.93 12.05 11.03 12.05 11.94 11.93 11.04 12.05 12.03 Print Done
The average fill volume for a soda company's cans is supposed to be 12 ounces. The filling machine has a known standard deviation of 0.11 ounces. Each week, the company selects a simple random sample of 30 cans and carefully measures the volume in each can. The results are provided in the accompanying table. Based on the data in the sample, what would you conclude about whether the filling process is working as expected? Base your answer on the probability of observing the sample mean you compute for these sample data. E Click the icon to view the data table. Is the filling process working as expected? Select the correct choice below and fill in the answer box within your choice. (Round to four decimal places as needed.) O A. The probability of getting a sample mean at least as far from the target mean (either above or below) as the observed value is which is not very low, so it is reasonable to conclude that the prooess is working as expected. O B. The probability of getting a sample mean at least as far from the target mean (either above or below) as the observed value is which is low, so it is reasonable to conclude that the process is not working as expected. Data table Volume of 30 soda cans O 11.95 12.04 11.93 12.05 12.05 11.93 11.94 11.95 12.05 11.05 11.93 11.94 11.93 12.05 12.04 12.05 12.05 12.04 11.93 11.93 12.05 11.93 12.05 11.03 12.05 11.94 11.93 11.04 12.05 12.03 Print Done
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The average fill volume for a soda company's cans is supposed to be 12 ounces. The filling machine has a known standard deviation of 0.11 ounces. Each week, the company selects a simple random sample of 30 cans
and carefully measures the volume in each can. The results are provided in the accompanying table. Based on the data in the sample, what would you conclude about whether the filling process is working as expected?
Base your answer on the probability of observing the sample mean you compute for these sample data.
E Click the icon to view the data table.
Is the filling process working as expected? Select the correct choice below and fill in the answer box within your choice. (Round to four decimal places as needed.)
O A. The probability of getting a sample mean at least as far from the target mean (either above or below) as the observed value is. which is not very low, so it is reasonable to conclude that the process is working
as expected.
O B. The probability of getting a sample mean at least as far from the target mean (either above or below) as the observed value is. which is low, so it is reasonable to conclude that the process is not working as
expected.
Data table
Volume of 30 soda cans O
11.93 12.05 12.05 11.03 11.94 11.95
12.05
11.05
12.05
11.94 11.93
11.95 12.04
12.05 12.04
12.05 11.93
12.05
12.04 11.93 11.93 11.93
12.05 11.93 12.05 11.94 11.93 11.04 12.05
12.03
Print
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