In: Statistics and Probability
A group of parents examines a random sample of insurance bills in order to determine if there is evidence to suggest that the cost of auto insurance for teenage boys costs more, on average, than for teenage girls. The mean annual cost for 42 teenage boys was $619. For 37 teenage girls, it was $579. From past years, it is known that the population standard deviation for each group is $150. Does this data provide evidence at a significance level of alpha equals 0.05 that the mean cost for auto insurance for teenage boys is greater than that for teenage girls?