1.A simple random sample of size n=40 is drawn from a population. The sample mean is found to be x=121.5 and the sample standard deviation is found to be s=12.9 Construct a99% confidence interval for the population mean.

The lower bound is

(Round to two decimal places asneeded.)

The upper bound is

(Round to two decimal places asneeded.)

Explain.

2.About9%of the population of a large country ishopelesslyromantic.If two people are randomlyselected, what is the probability both arehopelesslyromantic?What is the probability at least one ishopelesslyromantic?Assume the events are independent.

1. The probability that both will behopelesslyromanticis _______
2. The probability that at least one person ishopelesslyromanticis ________

Explain the answer.