E Question Help Assume that a simple random sample has been normally distributed
ID: 3048139 • Letter: E
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E Question Help Assume that a simple random sample has been normally distributed 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 head injury condition units). The safety requirement is that the hic measurement should be less th 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? ected from a normally distributed population and test the given claim Identfly the null and alternative hypotheses t with the measurements given in hic (standard an 1000 hic. Use a 0 01 significance level to test the claim that the 664 668 1007 537 539 611 What are the hypotheses? A. Ho 1000 hic H1 1000 hic ° C. Ho 1000 hic H1 :Explanation / Answer
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The safety requiremnet is that the hic measurement should be less than 1000hic. This is should go in as alternate /research hypothesis.
Thereffore, H1: Mu<1000, Ho: Mu = 1000
test statistic = ((Mean)-1000)/stdev = (671-1000)/(174.32) = -1.887
Critical t value at df = n-1=6-1 = 5, for alpha= .01 is -3.365
Since test statistic within limits ( i.e. -1.887>-3.365) our test statistic doesn't lie in rejection region.
Hence, we don't reject null hypothesis, i.e. Mean is at 1000 hic. The safety requirement of hic measurement less than 1000 hic is not met
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