2. A local gym wants to determine whether there is a significant difference between the average amount of time people spend exercising at the gym each month and the average amount of time
people spend exercising outdoors each month. The data they collected is shown in the table.
January February March April May June
Gym
6.2
4.1
3.4
2.2
0.8
1.1
Outdoors
1.5
0.9
1.7
3.2
4.3
4.2
Difference
4.7
3.2
1.7
-1
-3.5-3.1
(Gym - Outdoors)
How is the test statistic calculated? (Note that intermediate calculations have been rounded to 4
decimal places.)

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?