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The length of 45 items from a manufacturer was measured and the mean length of this sample was found to be 1.15 m. It is known from previous data sets that the standard deviation of length of this item is 3.0 cm. a) Find the 95% confidence interval for the average measurement μE ( b) Using a 5% significance level, is it plausible that the mean of the product length is greater than 1.17 m? (Answer 'Yes/No' in the blank and make sure you justify your answer on your scratch paper)

The length of 45 items from a manufacturer was measured and the mean length of this sample was found to be 1.15 m. It is known from previous data sets that the standard deviation of length of this item is 3.0 cm. a) Find the 95% confidence interval for the average measurement μE ( b) Using a 5% significance level, is it plausible that the mean of the product length is greater than 1.17 m? (Answer 'Yes/No' in the blank and make sure you justify your answer on your scratch paper)

Calculus For The Life Sciences
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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The length of 45 items from a manufacturer was measured and the mean length of this sample was found to be 1.15 m. It is known from previous data sets that the standard deviation of length of this item is 3.0 cm. a) Find the 95% confidence interval for the average measurement με b) Using a 5% significance level, is it plausible that the mean of the product length is greater than 1.17 m? (Answer 'Yes/No' in the blank and make sure you justify your answer on your scratch paper)
Transcribed Image Text:The length of 45 items from a manufacturer was measured and the mean length of this sample was found to be 1.15 m. It is known from previous data sets that the standard deviation of length of this item is 3.0 cm. a) Find the 95% confidence interval for the average measurement με b) Using a 5% significance level, is it plausible that the mean of the product length is greater than 1.17 m? (Answer 'Yes/No' in the blank and make sure you justify your answer on your scratch paper)
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