At a certain plant, batteries are produced with a life span that is normally distributed with astandard deviation of 2 months. The plant claims that on the average the batteries will lasts for 15 months. A consumer group want to test the claim with a random sample of 27 batteries that showed an average of 14.5 months. D. Do you agree with the claim that on the average that the batteries will lasts for 15 months?✓ [Select]No, since the bounds of the confidence interval estimate are below 15 months.Yes, since 15 months is inside the computed confidence interval.Yes, since the bounds of the confidence interval estimate are below 15 months.No, since 15 months is inside the computed confidence interval.[Scient] C. What can we assert with 95% confidence about the possible size of error e if you estimate thetrue mean lifespan of the batteries to be 14.5 months ✓ [Select]ths?The error will not exceed 0.7912The error will not exceed 0.6565The error will not exceed 0.7544The error will not exceed 0.6332

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Answered: At a certain plant, batteries are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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At a certain plant, batteries are produced with a life span that is normally distributed with a
standard deviation of 2 months. The plant claims that on the average the batteries will lasts for 15 months. A consumer group want to test the claim with a random sample of 27 batteries that showed an average of 14.5 months.

D. Do you agree with the claim that on the average that the batteries will lasts for 15 months?
✓ [Select]
No, since the bounds of the confidence interval estimate are below 15 months.
Yes, since 15 months is inside the computed confidence interval.
Yes, since the bounds of the confidence interval estimate are below 15 months.
No, since 15 months is inside the computed confidence interval.
[Scient]

C. What can we assert with 95% confidence about the possible size of error e if you estimate the
true mean lifespan of the batteries to be 14.5 months ✓ [Select]
ths?
The error will not exceed 0.7912
The error will not exceed 0.6565
The error will not exceed 0.7544
The error will not exceed 0.6332

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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