Answered: Lifetime of electronics: In a simple…

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 14PPS

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Answer the one question. Lifetime of electronics: In a simple random sample of 100 electronic components produced by a certain method, the mean lifetime was 125 hours. Assume that component lifetimes are normally distributed with population standard deviation a = 20 hours. Round the critical value to no less than three decimal places.

Lifetime of electronics: In a simple random sample of 100 electronic components produced by a certain method, the mean
lifetime was 125 hours. Assume that component lifetimes are normally distributed with population standard deviationo = 20
hours. Round the critical value to no less than three decimal places.
Part 1 of 2
(a) Construct a 99.5% confidence interval for the mean battery life. Round the answer to the nearest whole number.
A 99.5% confidence interval for the mean battery Ilife is 120 <µ < 131
Part: 1/ 2
Part 2 of 2
(b) Find the sample size needed so that a 99.8% confidence interval will have a margin of error of 4.
A sample size of
is needed so that a 99.8% confidence interval will have a margin of
error of 4. Round the sample size up to the nearest integer.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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