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An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.9 mm, how many of these components should she consider to be 80% sure of knowing the mean will be within ±0.4 mm? О 16 134 38 19 O7

An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.9 mm, how many of these components should she consider to be 80% sure of knowing the mean will be within ±0.4 mm? О 16 134 38 19 O7

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
Section10.1: Measures Of Center
Problem 9PPS
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An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.9 mm, how many of these components should she consider to be 80% sure of knowing the mean will be within ±0.4 mm? 16 134 38 19 O7
Transcribed Image Text:An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.9 mm, how many of these components should she consider to be 80% sure of knowing the mean will be within ±0.4 mm? 16 134 38 19 O7
Expert Solution
Step 1

We have given that

Margin of error (E) = 0.4

Standard deviations (σ) = 1.9

Significance level (α) = 1 -0.80 = 0.20

Critical values for significance level α =0.20

Zc = 1.28

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