1. A dog treat company's machine is designed to fill boxes so that the mean weight of treats in the boxes is 18 ounces. A simple random sample of 30 boxes produced by the machine yields a mean weight of 17.9 ounces of treats and a standard deviation of 0.25 ounces of treats. (a) Construct and interpret a 95% confidence interval for the true mean weight of treats in the boxes filled by this machine. (4 points) Construct: (2 points) Interpret: (2 points) (b) Does the interval in part (a) give convincing evidence that the machine is not filling boxes with the correct amount of treats (u=18)? Explain your reasoning. (2 points)
1. A dog treat company's machine is designed to fill boxes so that the mean weight of treats in the boxes is 18 ounces. A simple random sample of 30 boxes produced by the machine yields a mean weight of 17.9 ounces of treats and a standard deviation of 0.25 ounces of treats. (a) Construct and interpret a 95% confidence interval for the true mean weight of treats in the boxes filled by this machine. (4 points) Construct: (2 points) Interpret: (2 points) (b) Does the interval in part (a) give convincing evidence that the machine is not filling boxes with the correct amount of treats (u=18)? Explain your reasoning. (2 points)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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![1. A dog treat company's machine is designed to fill boxes so that the mean weight of treats in the boxes is 18 ounces. A
simple random sample of 30 boxes produced by the machine yields a mean weight of 17.9 ounces of treats and a
standard deviation of 0.25 ounces of treats.
(a) Construct and interpret a 95% confidence interval for the true mean weight of treats in the boxes filled by this
machine.
(4 points)
Construct: (2 points)
Interpret: (2 points)
(b) Does the interval in part (a) give convincing evidence that the machine is not filling boxes with the correct amount of
treats (u=18)? Explain your reasoning.
(2 points)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9cdda3d5-7ca4-4646-ab42-3806b96ec7e2%2F7ca61e3c-f71c-4190-9426-72e67735f25b%2Fw1b91xr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. A dog treat company's machine is designed to fill boxes so that the mean weight of treats in the boxes is 18 ounces. A
simple random sample of 30 boxes produced by the machine yields a mean weight of 17.9 ounces of treats and a
standard deviation of 0.25 ounces of treats.
(a) Construct and interpret a 95% confidence interval for the true mean weight of treats in the boxes filled by this
machine.
(4 points)
Construct: (2 points)
Interpret: (2 points)
(b) Does the interval in part (a) give convincing evidence that the machine is not filling boxes with the correct amount of
treats (u=18)? Explain your reasoning.
(2 points)
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