The random sample shown below was selected from normal distribution. 10,3,4,10,3,6 a. Constuct a 99% confidence interval for the popuation  (-,-) Round two...

The random sample shown below was selected from normal distribution.

10,3,4,10,3,6

a. Constuct a 99% confidence interval for the popuation 

(-,-) Round two decimal places as needed.

b.Assume that the sample mean x and the sample standard deviation s remain exactly the same as those yoy just calucated but that are based in the sample of n=25 observations. 

Repeat part A, whatr is the effect of the increasing the sample sizr on the widt of confidence intervals?

The confidenece interval is ( -,-)

What is the effect of the sample size on the width with the confidence interval?

a. As the sample size increases, the width increases.

b. As the sample size increases, the width stays the same.

c. As the sample size increases, the width decreases. 

NUMBER 2 problem:

Periodically a town water department tests the drinking water of homeowners for contaminants such as lead. The lead level in water specimens collected for a sample of 10 residents of the town had a mean of 3.1 mg/l and a standard deviation of 2.3 mg/l.