An engineer is determining if the bolts she designed are being manufactured with accurate measurements. She sampled 60 bolts, which had an average length of 42 mm and standard deviation of 2 mm. Find the margin of error at a 95% confidence level and the 95% confidence interva

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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Mean Sigma Known
An engineer is determining if the bolts she designed are
being manufactured with accurate measurements. She
sampled 60 bolts, which had an average length of 42 mm,
and standard deviation of 2 mm. Find the margin of error
at a 95% confidence level and the 95% confidence interval.
Margin of Error: (round to two decimal places)
mm
95% Confidence Interval: (round to two decimal places)
) mm
Interpret the information:
Hint 1
This means that the engineer can be
that the true average bolt length is between
mm and
mm.
% confident
Transcribed Image Text:Mean Sigma Known An engineer is determining if the bolts she designed are being manufactured with accurate measurements. She sampled 60 bolts, which had an average length of 42 mm, and standard deviation of 2 mm. Find the margin of error at a 95% confidence level and the 95% confidence interval. Margin of Error: (round to two decimal places) mm 95% Confidence Interval: (round to two decimal places) ) mm Interpret the information: Hint 1 This means that the engineer can be that the true average bolt length is between mm and mm. % confident
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