Ahealth survey determined the mean weight of a sample of 762 men between the ages of 26 and 31 to be 173 pounds, while the mean weight of a sample of 1,561 men between the ages of 67 and 72 was 162 pounds. the difference between the mean weights is significant at the 0.05 level. determine the meaning of this significance level.

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?