Question
Some studies have shown that in Australia, men spend more than women buying gifts and cards on Valentines Day. Suppose a researcher wants to test
Some studies have shown that in Australia, men spend more than women buying gifts and cards on Valentines 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 Australia to be in a study. Each study participant is asked to keep a log beginning one month before Valentines Day and record all purchases made for Valentines Day during that one-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 Valentines Day. Assume that such spending is normally distributed in the population and that the population variances are equal.
Men Women
107.48 125.98
143.61 45.53
90.19 56.35
125.53 80.62
70.79 46.37
83.00 44.34
129.63 75.21
154.22 68.48
93.80 85.84
126.11
Find thet-score to make a conclusion.
Round the answer to two decimal places.
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