In: Statistics and Probability
I often see many more women at the park exercising than I do men. Due to my observations, I believe that women exercise more often than men. In order to test my hypothesis, I asked 10 random men and 10 random women how many times they exercise a week. The men's answers were: 6, 2, 3, 1, 4, 3, 2, 7, 4, 2, and the women's were: 5, 4, 2, 4, 7, 6, 5, 6, 4, 3. Is there significant evidence to conclude that the average number of days exercised in a week for women is higher than that of men? Please calculate at a 95% Confidence Interval.
for men
for women
it cannot be concluded that women have higher average number of days because confidence interval does not contain only negative values.
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