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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)

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)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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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