Before the unprecedented decline in home sales that started in late 2008, the
National Association of Realtors profile of home buyers and sellers indicated
that the percentage of home buyers who are single women has more than
doubled since 1981, whereas the percentages of home buyers who are single
men has declined. This occurred despite evidence indicating that womens
salaries still lag behind those of men. The Associations profile states that the
median income for men and women home buyers was $58.939 and $47,315,
respectively. Assume the respective standard deviations and sample sizes
were $10,000 and $9,000, and 200 and 302. a. Conduct a hypothesis test to determine if the median income for men buying homes is more than $10,000 larger than that of women. Use a significance level of 0.05. b. Describe any additional assumptions required to validate the results of the hypothesis test in part a. ///T///T///T///T///T///T///T///T