Question

1. 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?

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 seats meeting the specified requirement

3.  Listed below are the lead concentrations in μ​g/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 17 μ​g/g. Assume that the lead concentrations in traditional medicines are normally distributed.

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 minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a 0.10 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating 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

Answer 1

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