Question

Periodically, a town water department tests the the drinking water of homeowners for contaminants such as...

Periodically, a town water department tests the the drinking water of homeowners for contaminants such as lead. The lead levels 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 1.6 mg/L. Complete parts a through c.

a.Construct a 90​% confidence interval for the mean lead level in water specimens from the town.

left parenthesis nothing comma nothing right parenthesis,

​(Round to three decimal places as​ needed.)

b. Interpret the interval in terms of this application. Choose the correct answer below.

A.The water department is confident that 90​% of the mean lead level in drinking water for all residents in the town is described by this interval.

B.The water department can be 90​% confident that the mean lead level in drinking water for all residents in the town is outside this interval.

C.The water department can be 90​% confident that the mean lead level in drinking water for all residents in the town is 3.1 ​mg/L.

D.The water department can be 10​% confident that the mean lead level in drinking water for all residents in the town is within this interval.

E.The water department can be 90​% confident that the mean lead level in drinking water for all residents in the town is within this interval.c. What is meant by the phrase "90​% confidence​ interval"?The phrase "90​% confidence​ interval" means that if many intervals were constructed using the same methods and the same

sample variance,

sample mean,

sample standard deviation,

population standard deviation,

population mean,

sample size,

population variance,

then

​%

of those intervals would contain the true

population mean.

population variance.

population standard deviation.

sample size.

sample mean.

sample variance.

sample standard deviation.

Click to select your answer(s).

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