In: Math
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.
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 |