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In: Statistics and Probability

Assume that a simple random sample has been selected from a normally distributed population and test...

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?

791     

773     

1414     

707     

615     

488

Identify the test statistic.

State the final conclusion that addresses the original claim.

(Reject or Fail to reject) H0. There is (sufficient or insufficient) 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?

A.There is 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.

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.There is 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.

Solutions

Expert Solution

orchestra answered 1 year ago
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