Asked by rebecca geissler on May 08, 2024
Verified
A random sample of size 10 produced a sample mean equal to 12 and a standard deviation equal to .15. Based on this information, the margin of error associated with a 90% confidence interval estimate for the population mean is 1.8331.
Sample Mean
The mean of a dataset, found by adding up all the values and then dividing the total by the count of values in the set.
Standard Deviation
A measure of the amount of variation or dispersion in a set of values, showing how much the values differ from the mean.
Margin Of Error
An expression of the maximum expected difference between the true population parameter and a sample estimate of that parameter.
- Evaluate the extent of deviation for estimated averages of populations from samples.
Verified Answer
margin of error = 1.645 * (standard deviation/square root of sample size)
Using the given information:
margin of error = 1.645 * (.15/sqrt(10)) = 0.0812
Therefore, the statement that the margin of error is 1.8331 is false.
Learning Objectives
- Evaluate the extent of deviation for estimated averages of populations from samples.
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