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, test statistic, 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 a0.05significance 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?632 677 1163 606 579 471 What are the hypotheses? A.H0:μ=1000hicH1:μ≥1000hic B.H0:μ<1000hicH1:μ≥1000hic C.H0:μ>1000hicH1:μ<1000hic D.H0:μ=1000hicH1:μ<1000hicIdentify the test statistic. Identify the P-value. The P-value is State the final conclusion that addresses the original claim. RejectFail to rejectH0.There is insufficientsufficientevidence to support the claim that the sample is from a population with a mean less than 1000 hic.What do the results suggest about the child booster seats meeting the specified requirement? A.Thereisstrong evidence that the mean is less than 1000 hic,butone of the booster seats has a measurement that is greater than 1000 hic. B.The requirement is met since most sample measurements are less than 1000 hic. C.The results are inconclusive regarding whether one of the booster seats could have a measurement that is greater than 1000 hic. D.Thereis notstrong evidence that the mean is less than 1000 hic,andone of the booster seats has a measurement that is greater than 1000 hic.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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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, test statistic, 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

0.05

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?

632

677

1163

606

579

471

What are the hypotheses?

H0:

μ=1000hic

H1:

μ≥1000hic

H0:

μ<1000

hic

H1:

μ≥1000

hic

H0:

μ>1000hic

H1:

μ<1000hic

H0:

μ=1000hic

H1:

μ<1000hic

Identify the test statistic.

Identify the P-value.

The P-value is

State the final conclusion that addresses the original claim.

Reject

Fail to reject

H0.

There is

insufficient

sufficient

evidence to support the claim that the sample is from a population with a mean less than 1000 hic.

What do the results suggest about the child booster seats meeting the specified requirement?

There

strong evidence that the mean is less than 1000 hic,

but

one of the booster seats has a measurement that is greater than 1000 hic.

The requirement is met since most sample measurements are less than 1000 hic.

The results are inconclusive regarding whether one of the booster seats could have a measurement that is greater than 1000 hic.

There

is not

strong evidence that the mean is less than 1000 hic,

and

one of the booster seats has a measurement that is greater than 1000 hic.

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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