Asked by Nitin Channa on Jul 24, 2024
Verified
The sample size needed to provide a margin of error of 3 or less with a .95 probability when the population standard deviation equals 11 is
A) 10.
B) 11.
C) 51.
D) 52.
Margin of Error
A measure that indicates the range of values within which the true population parameter is expected to fall.
Sample Size
The number of observations or data points collected for a study or experiment.
- Comprehend how the size of a sample influences the margin of error in interval estimation.
Verified Answer
WB
William BissonJul 30, 2024
Final Answer :
D
Explanation :
The formula for sample size needed to provide a margin of error of E with a .95 probability when the population standard deviation is known is n = (Z^2 * σ^2) / E^2. Plugging in the values given, we get n = (1.96^2 * 11^2) / 3^2 = 51.06, which rounds up to 52. Therefore, the best choice is D) 52.
Learning Objectives
- Comprehend how the size of a sample influences the margin of error in interval estimation.