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You want to estimate the mean weight of quarters in circulation. A sample of 50 quarters...

You want to estimate the mean weight of quarters in circulation. A sample of 50 quarters has a mean weight of 5.643 grams and a standard deviation of 0.065 grams. Use a single value to estimate the mean weight of all quarters.​ Also, find the​ 95% confidence interval for the average weight of all quarters. Q- The mean weight of all quarters is approximately ? grams Q- The lower limit of the​ 95% confidence interval is ? Q- The upper limit of the​ 95% confidence interval is? Q- Thus, the​ 95% confidence interval for the average weight of all quarters ranges from ? grams to ? grams.

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Expert Solution

You want to estimate the mean weight of quarters in circulation. A sample of 50 quarters has a mean weight of 5.643 grams and a standard deviation of 0.065 grams. Use a single value to estimate the mean weight of all quarters.​ Also, find the​ 95% confidence interval for the average weight of all quarters. Q-

The mean weight of all quarters is approximately 5.643 grams

Q- The lower limit of the​ 95% confidence interval is 5.6245

Q- The upper limit of the​ 95% confidence interval is 5.6615

Q- Thus, the​ 95% confidence interval for the average weight of all quarters ranges from 5.6245 grams to 5.6615 grams.

Confidence Interval Estimate for the Mean

Data

Sample Standard Deviation s

0.065

Sample Mean

5.643

Sample Size n

50

Confidence Level

95%

Intermediate Calculations

Standard Error of the Mean

0.0092

Degrees of Freedom

49

t Value

2.0096

Interval Half Width

0.0185

Confidence Interval

Interval Lower Limit

5.6245

Interval Upper Limit

5.6615

milcah answered 1 year ago
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