Two Population Means with Known Standard Deviations · Exercise 12
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 $679. 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.
This is an open-ended exercise: its source gives no single answer.
OpenStax, Introductory Business Statistics 2e · §10.5 Two Population Means with Known Standard Deviations · Exercise 12
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