The length of 55 items from a manufacturer was measured and the mean length of this sample was foun to be 1.31 m. It is known from previous data sets that the standard deviation of length of this item is 5.0 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 1.32 m (Answer 'Yes/No' in the blank and make sure you justify your answer on your scratch paper)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The length of 55 items from a manufacturer was measured and the mean length of this sample was found
to be 1.31 m. It is known from previous data sets that the standard deviation of length of this item is 5.0
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 1.32 m?
(Answer 'Yes/No' in the blank and make sure you justify your answer on your scratch paper)
Transcribed Image Text:The length of 55 items from a manufacturer was measured and the mean length of this sample was found to be 1.31 m. It is known from previous data sets that the standard deviation of length of this item is 5.0 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 1.32 m? (Answer 'Yes/No' in the blank and make sure you justify your answer on your scratch paper)
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