Asked by Brianna Margaret on Apr 29, 2024
Verified
Use the formula to calculate the lower and upper limits of the 90% confidence interval for a sample of N = 12 with a mean = 4.00 and standard error of the mean = .58.
A) (2.96, 5.04)
B) (2.20, 5.80)
C) 1.62, 6.38)
D) 2.72, 5.28)
Standard Error
A statistical measure that describes the accuracy with which a sample distribution represents a population using the standard deviation.
Mean
The mean of a series of numbers, determined by dividing their total sum by the quantity of numbers in the series.
- Calculate designated confidence intervals guided by sample statistics.
Verified Answer
AT
Antoinette TaylorMay 06, 2024
Final Answer :
A
Explanation :
Using the formula, the lower limit of the 90% confidence interval can be calculated as:
4.00 - (1.833 * 0.58) = 2.96
And the upper limit can be calculated as:
4.00 + (1.833 * 0.58) = 5.04
Therefore, the 90% confidence interval is (2.96, 5.04). Choice A is the closest option to the calculated interval.
4.00 - (1.833 * 0.58) = 2.96
And the upper limit can be calculated as:
4.00 + (1.833 * 0.58) = 5.04
Therefore, the 90% confidence interval is (2.96, 5.04). Choice A is the closest option to the calculated interval.
Learning Objectives
- Calculate designated confidence intervals guided by sample statistics.
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