A)Suppose that the time t spend on a treadmill by people at the gym is normally distributed with a mean of 25 minutes and standard deviation 10 minutes. What is the probability a random sample of 9 treadmill users will have mean time spent on the treadmill greater than 22 minutes?

B) Many supermarkets will have prices for products that end in the digits 99. For example , instead of charging $ 5 for a jug of milk , a supermarket will charge $ 4.99 instead . Consumer Reports Magazine indicated that 90 % of all supermarket prices end in the digits 99. A researcher decided to test whether or not 90\% of supermarket prices end in the digits 99. In a random sample of 125 products taken all through a supermarket , it was found that 105 items had prices ending in 99 . a ) Show that it will be accurate to use normal methods in this problem b ) Conduct a hypothesis test for the researcher . Use alpha = 0.01 . State your hypotheses , P Value and conclusion clearly. c ) If an error was committed in part b of this question , is it a type 1 or type 2 error ? Why?