Question: Parents of teenage boys often complain that auto insurance costs more, on average, for teenage boys than for teenage girls. A group of concerned parents examines a random sample of insurance bills. The mean annual cost for 36 teenage boys was $681. For 36 teenage girls, it was $563. From past years, it is known that the population standard deviation for each group is $180.

Determine whether or not you believe that the mean cost for auto insurance for teenage boys is greater than that for teenage girls. Make sure you include the following information:

null and alternative hypotheses in words and symbols

the random variable

indicate whether this is a one- or two-tailed test

the distribution you use to perform the test

test statistic

the p -value

decision and reason for the decision

Conclusion

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Deliverable: Word Document