Problem 3 In last week’s homework assignment, you were asked to estimate the average length of bolts used in a car manufacturing process based on a random sample of 80 bolts. The average length of these 80 bolts was 6.2 cm with a standard deviation of 0.1 cm. A 95% confidence interval for the population average length of all bolts had a lower limit of 6.18 cm and an upper limit of 6.22 cm. Engineering specs actually require that the average length of bolts to be 6 cm. Using the same sample data, test whether the average length bolts meets these specifications. Use a 5% significance level. How does your answer in a) relate to the confidence interval?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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Problem 3

In last week’s homework assignment, you were asked to estimate the average length of bolts used in a car manufacturing process based on a random sample of 80 bolts. The average length of these 80 bolts was 6.2 cm with a standard deviation of 0.1 cm. A 95% confidence interval for the population average length of all bolts had a lower limit of 6.18 cm and an upper limit of 6.22 cm.

  1. Engineering specs actually require that the average length of bolts to be 6 cm. Using the same sample data, test whether the average length bolts meets these specifications. Use a 5% significance level.
  2. How does your answer in a) relate to the confidence interval?
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