Asked by Bryan Flores on May 25, 2024
Verified
In order to estimate the average electric usage per month, a sample of 64 houses was selected and the electric usage was determined.Assume a population standard deviation of 320 kilowatt-hours.The standard error of the mean is
A) 320.
B) 64.
C) 400.
D) 40.
Standard error of the mean
The standard deviation of the sampling distribution of the sample mean, measuring how far the sample mean of the data is likely to be from the true population mean.
Population standard deviation
The square root of the variance of a population, which measures the dispersion of a set of values relative to their mean.
- Employ accurate formulas for computing the standard error of the mean and the margin of error in varying contexts.
Verified Answer
EM
Ermelinda MeskutiMay 31, 2024
Final Answer :
D
Explanation :
The formula for standard error of the mean is:
SE = population standard deviation / square root of sample size
SE = 320 / square root of 64
SE = 320 / 8
SE = 40
Therefore, the standard error of the mean is 40.
SE = population standard deviation / square root of sample size
SE = 320 / square root of 64
SE = 320 / 8
SE = 40
Therefore, the standard error of the mean is 40.
Learning Objectives
- Employ accurate formulas for computing the standard error of the mean and the margin of error in varying contexts.