Calculating the confidence Interval using the given data.

1.A random sample of 100 stores from a large chain of 1,000 garden supply stores was selected to determine the average number of lawnmowers sold at an end-of-season clearance sale.  The sample results indicated an average of 6 and a standard deviation of 2 lawnmowers sold.  Find out the 95 percent confidence interval for the true population mean.  Can we conclude that of all possible samples of 100 stores taken from the population of 1,000 stores, 95 percent of the confidence interval will contain the true population mean within the interval?  Justify your answer.

2. A random sample of 10 observations is selected from the first normal population and 8 from the second normal population. For a two-tailed test of hypothesis (.01 significance level) to conclude if there is a difference in the population means, the degrees of freedom are

a)    18

b)   17

c)    16

d)   None of the above