15. John has two jobs. For daytime work at a jewelry store he is paid $15,000 per month, plus a commission. His monthly commission is normally distributed with a mean of $1,000 and a standard deviation of $200. At night he works occasionally as a waiter, for which his monthly income is normally distributed with a mean of $1,000 and a standard deviation of $300. John's income levels from these two sources are independent of each other. For a given month, what is the probability that John's commission from the jewelry store is less than $800?. Answer as a probability to two decimal places.

Answer: ________

10. True or false: the amount of bleach a machine pours into bottles has a mean of 36 ounces with a standard deviation of 0.15 ounces. Suppose we take a sample of 36 bottles filled by this machine. The sampling distribution of the sample mean has a standard error of 0.15.

Select one:

True

False

22. Circus ringmasters are usually a little heavy. This is because they have to do alot of shouting and when they are not shouting they are in Tim Hortons eating muffins. The international circus federation sampled the mean weight of ringmasters recently. They found that the sample mean weight was 95 Kg with a standard deviation of 5 Kg. They took 64 samples. What weight would a sample have to be smaller than to put it into the bottom 33%? Three decimal places.

Answer: __________