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 $672. For 23 teenage girls, it was $559. 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. Conduct a hypothesis test at the 5% level. i. State the distribution to use for the test. (Round your answers to two decimal places.) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) ii. 111.

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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 $672. For 23 teenage girls,
it was $559. 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. Conduct a hypothesis test at the 5%
level.
State the distribution to use for the test. (Round your answers to two decimal places.)
What is the test statistic? (If using the z distribution round your answer to two
decimal places, and if using the t distribution round your answer to three decimal
places.)
What is the p-value? (Round your answer to four decimal places.)
i.
ii.
ii.
Transcribed Image Text: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 $672. For 23 teenage girls, it was $559. 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. Conduct a hypothesis test at the 5% level. State the distribution to use for the test. (Round your answers to two decimal places.) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) i. ii. ii.
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