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The error in measuring the weight of a sample of magnesium is normal with a mean 0 mg and a standard deviation of 0.2mg. A laboratory technician weighs a sample of magnesium 5 times and records the following measurements: 20.3,20.1,20.0,20.3,19.9 (a) Estimate the actual weight of the sample using a 99% two-sided confidence interval. (b) Use part (a) to test the hypothesis that the actual weight of the sample is equal to 20.9 at the 1% significance level.

The error in measuring the weight of a sample of magnesium is normal with a mean 0 mg and a standard deviation of 0.2mg. A laboratory technician weighs a sample of magnesium 5 times and records the following measurements: 20.3,20.1,20.0,20.3,19.9 (a) Estimate the actual weight of the sample using a 99% two-sided confidence interval. (b) Use part (a) to test the hypothesis that the actual weight of the sample is equal to 20.9 at the 1% significance level.

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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The error in measuring the weight of a sample of magnesium is normal with a mean 0 mg and a standard deviation of 0.2mg. A laboratory technician weighs a sample of magnesium 5 times and records the following measurements: 20.3,20.1,20.0,20.3,19.9

(a) Estimate the actual weight of the sample using a 99% two-sided confidence interval.

(b) Use part (a) to test the hypothesis that the actual weight of the sample is equal to 20.9 at the 1% significance level. 

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