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12. Serum zinc levels for 462 males between the ages of 15 and 17 are saved unde

ID: 2956393 • Letter: 1

Question

12. Serum zinc levels for 462 males between the ages of 15 and 17 are saved under the variable name zinc in the data set serzinc. The units of measurement for serum zin level are micrograms per deciliter.

zinc
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a. Find a two-sided 95% confidence interval for U, the true mean serum zinc level for this population of males.

b.Interpret this confidence interval.

c. Calculate a 90% confidence interval for U.

d. How does the 90% confidence interval compare to the 95% interval?

Explanation / Answer

a) Mean = xi/n = 87.94
Median = value in the middle = 86
Standard deviation = (xi-xbar)2/(n-1) = 16
Range = Max - Min = 103

Interquartile range of the data:
1st Quartile = 76
Median Value = 86
3rd Quartile = 98
Maximum value = 153

1st: 50 to 76
2nd: 77 to 86
3rd: 87 to 98
4th: 99 to 153