Asked by Marina Aschilean on Jul 20, 2024
Verified
In developing an interval estimate, if the population standard deviation is unknown,
A) it is impossible to develop the interval estimate.
B) the standard deviation is arrived at using the range.
C) the sample standard deviation must be used.
D) it is assumed that the population standard deviation is 1.
Population Standard Deviation
A measure of the dispersion or spread of a set of data values in a population, indicating how much individuals within this population vary from the population mean.
Interval Estimate
An estimate of a population parameter that provides a range of values believed to contain the parameter with a certain degree of confidence.
Sample Standard Deviation
A measure of the dispersion or variability of a set of data points in a sample.
- Determine the appropriate use of sample standard deviation in interval estimation when population standard deviation is unknown.
Verified Answer
SH
Shree' HolmanJul 23, 2024
Final Answer :
C
Explanation :
When the population standard deviation is unknown, the sample standard deviation should be used to develop the interval estimate. This is because the sample standard deviation provides an estimate of the population standard deviation. Additionally, using the range to estimate the population standard deviation would not be precise enough, and assuming the population standard deviation is 1 is not appropriate in many cases.
Learning Objectives
- Determine the appropriate use of sample standard deviation in interval estimation when population standard deviation is unknown.