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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? 709     623     1085     572     584     705 What are the​ hypotheses? A. Upper H 0​: muless than1000 hic Upper H 1​: mugreater than or equals1000 hic B. Upper H 0​: muequals1000 hic Upper H 1​: muless than1000 hic C. Upper H 0​: muequals1000 hic Upper H 1​: mugreater than or equals1000 hic D. Upper H 0​: mugreater than1000 hic Upper H 1​: muless than1000 hic Identify the test statistic. tequals nothing ​(Round to three decimal places as​ needed.) Identify the​ P-value. The​ P-value is nothing. ​(Round to four decimal places as​ needed.) State the final conclusion that addresses the original claim. ▼ Fail to reject Reject Upper H 0. 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? A. 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. B. The requirement is met since most sample measurements are less than 1000 hic. C. 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. D. The results are inconclusive regarding whether one of the booster seats could have a measurement that is greater than 1000 hic. Click to select your answer(s).

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orchestra answered 2 years ago
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