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Name: Assume that a simple random sample has been selected from a normally d
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Description: Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, P-value, , and state the final conclusion that addresses the original claim. A safet

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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Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, P-value, , and state the final conclusion that addresses the original claim.

A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement?

762

688

1162

631

577

578

a) What are the hypotheses?

b) Identify the P-value.

c) Does this reject or fail to reject H0?

d) Is there sufficient evidence to support the claim that the sample is from a population with a mean less than 1000 hic?

e) Do the results suggest that all of the child booster seats meet the specified requirement?

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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