In: Statistics and Probability
Do men really spend more money on St. Patrick’s Day as compared to women? A recent survey found that men spend an average of $43.87 while women spend an average of $29.54. Assume that these data were based on a sample of 100 men and 100 women and the population standard deviations of spending for men and women are $32 and $25, respectively. Using 1% confidence level, which of the following is the correct conclusion for this test?
Reject H0: µ1 − µ2≤ 0 and therefore do not conclude that on average men spend more money than women on St. Patrick’s Day.
Do not reject H0: µ1 − µ2≤ 0 and therefore conclude that on average men spend more money than women on St. Patrick’s Day.
Do not reject H0: µ1 − µ2≤ 0 and therefore do not conclude that on average men spend more money than women on St. Patrick’s Day.
Reject H0: µ1 − µ2≤ 0 and therefore conclude that on average men spend more money than women on St. Patrick’s Day.
Reject H0: µ1− µ2≤ 0 and therefore conclude that on average men spend more money than women on St. Patrick’s Day.