1. Assume that a simple random sample has been selected from anormally distributed population and test the given claim. Identifythe null and alternative​ hypotheses, test​ statistic, P-value, andstate the final conclusion that addresses the original claim.
A safety administration conducted crash tests of child boosterseats for cars. Listed below are results from those​ tests, withthe measurements given in hic​ (standard head injury condition​units). The safety requirement is that the hic measurement shouldbe less than 1000 hic. Use a 0.05 significance level to test theclaim that the sample is from a population with a mean less than1000 hic. Do the results suggest that all of the child boosterseats meet the specified​ requirement?
751, 801, 1230, 657, 630, 557
a. identify the test statistics( round to 3 decimal places)
b. The P- value ? (round to 4 decimal places)
c what do the results suggest about the child booster seatsmeeting the specified requirement
3.  Listed below are the lead concentrations in μ​g/gmeasured in different traditional medicines. Use a 0.05significance level to test the claim that the mean leadconcentration for all such medicines is less than 17 μ​g/g. Assumethat the lead concentrations in traditional medicines are normallydistributed.
8, 21.5 , 19, 10.5 , 11.5 , 8.5 , 6, 15, 7.5 , 19
a. determine the test statistics
b. determine the P-value
4. A group of students estimated the length of one minutewithout reference to a watch or​ clock, and the times​ (seconds)are listed below. Use a 0.10 significance level to test the claimthat these times are from a population with a mean equal to 60seconds. Does it appear that students are reasonably good atestimating one​ minute?
66, 80, 42, 66, 45, 27, 57, 63, 66, 49, 64, 69, 93, 89, 64
a. determine the test statistics
b. determine the p-value
