Timothy, a javelin thrower, has a sample throw mean of 72.7 meters from 23 throws. Timothy still claims that his average throw is 65 meters, and the high average can be attributed to chance. At the 2% significance level, does the data provide sufficient evidence to conclude that Timothy's mean throw is greater than 65 meters? Given the sample data below, accept or reject the hypothesis.

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?