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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