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 $0\mathrm{.}05$ 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$?$

$6777151192581581472$