Question

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 0.01 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? 755 735 1373 680 625 524

Answer 1

Answer:

Yes, the results show the child booster seat meets the specified requirement

Step-by-step explanation:

We will conduct a one sample hypothesis test.  Our sample size of 6, so we will use t-distribution to find our critical values.

This is a left tailed test, with degrees of freedom being 5.

First we need the sample mean and standard deviation.  See first attached photo for these calculations...

See attached photo 2 for the hypothesis test