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 3.2 mg/L and a standard deviation of 2.6 mg/L. Complete parts a through c. a. Construct a 95% confidence interval for the mean lead level in water specimens from the town. OD (Round to three decimal places as needed.) b. Interpret the interval in terms of this application. Choose the correct answer below. O A. The water department can be 95% confident that the mean lead level in drinking water for all residents in the town is 3.2 mg/L. O B. The water department can be 5% confident that the mean lead level in drinking water for all residents in the town is within this interval. Oc. The water department can be 95% confident that the mean lead level in drinking water for all residents in the town is within this interval. O D. The water department is confident that 95% of the mean lead level in drinking water for all residents in the town is described by this interval. O E. The water department can be 95% confident that the mean lead level in drinking water for all residents the town is outside this interval. c. The phrase "95% confidence interval" means that if many intervals were constructed using the same methods and with the same sample size then % of these intervals would contain the true value of which of the following choices? OD. Population O A. Sample mean O B. Standard error Oc. Standard deviation mean

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Please provide an explanation for each part. 

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 3.2 mg/L and a
standard deviation of 2.6 mg/L. Complete parts a through c.
a. Construct a 95% confidence interval for the mean lead level in water specimens from the town.
(Round to three decimal places as needed.)
b. Interpret the interval in terms of this application. Choose the correct answer below.
O A. The water department can be 95% confident that the mean lead level in drinking water for all residents in the town is 3.2 mg/L.
O B. The water department can be 5% confident that the mean lead level in drinking water for all residents in the town is within this interval.
OC. The water department can be 95% confident that the mean lead level in drinking water for all residents in the town is within this interval.
D. The water department is confident that 95% of the mean lead level in drinking water for all residents in the town is described by this interval.
O E. The water department can be 95% confident that the mean lead level in drinking water for all residents in the town is outside this interval.
c. The phrase "95% confidence interval" means that if many intervals were constructed using the same methods and with the same sample size then
% of these intervals would contain the true value of which of the following
choices?
D.
O A. Sample mean
Populat ion
B. Standard error
C. Standard deviation
mean
Transcribed Image Text: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 3.2 mg/L and a standard deviation of 2.6 mg/L. Complete parts a through c. a. Construct a 95% confidence interval for the mean lead level in water specimens from the town. (Round to three decimal places as needed.) b. Interpret the interval in terms of this application. Choose the correct answer below. O A. The water department can be 95% confident that the mean lead level in drinking water for all residents in the town is 3.2 mg/L. O B. The water department can be 5% confident that the mean lead level in drinking water for all residents in the town is within this interval. OC. The water department can be 95% confident that the mean lead level in drinking water for all residents in the town is within this interval. D. The water department is confident that 95% of the mean lead level in drinking water for all residents in the town is described by this interval. O E. The water department can be 95% confident that the mean lead level in drinking water for all residents in the town is outside this interval. c. The phrase "95% confidence interval" means that if many intervals were constructed using the same methods and with the same sample size then % of these intervals would contain the true value of which of the following choices? D. O A. Sample mean Populat ion B. Standard error C. Standard deviation mean
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