Some studies have shown that in the United States, men spend more than women buying gifts and cards on Valentine's Day. Suppose a researcher wants to test this hypothesis by randomly sampling 9 men and 10 women with comparable demographic characteristics from various large cities across the United States to be in a study.
Each study participant is asked to keep a log beginning 1 month before Valentine's Day and record all purchases made for Valentine's Day during that 1-month period. The resulting data are shown below. Use these data and a 1% level of significance to test to determine if, on average, men actually do spend significantly more than women on Valentine's Day. Assume that such spending is normally distributed in the population and that the population variances are equal.
Make sure you clearly state both the null and the alternative hypotheses in full sentences. Include the output table; then clearly state the conclusion in the same manner (do not simply say "accept/reject null"), and explain how you arrived at this conclusion (based on which metrics).