Asked by Tristan Zuidema on Jul 24, 2024
Verified
In interval estimation, the t distribution is applicable only when the
A) population has a mean of less than 30.
B) sample standard deviation is used to estimate the population standard deviation.
C) variance of the population is known.
D) mean of the population is unknown.
T Distribution
A probability distribution that is used to estimate population parameters when the sample size is small and the population variance is unknown.
Population Mean
The average of a set of values in the entire population.
Sample Standard Deviation
A measure of the amount of variation or dispersion of a set of values from a sample, indicating how spread out the values are from the mean of the sample.
- Establish the suitable utilization of sample standard deviation within interval estimation when the population standard deviation remains unidentified.
Verified Answer
RH
Rashad HussainJul 29, 2024
Final Answer :
B
Explanation :
The t distribution is applicable in interval estimation when the sample standard deviation is used to estimate the population standard deviation. This is because the t distribution takes into account the additional uncertainty that arises from using the sample standard deviation instead of the population standard deviation. The other options (A, C, D) are not accurate, as the t distribution can still be used in other situations.
Learning Objectives
- Establish the suitable utilization of sample standard deviation within interval estimation when the population standard deviation remains unidentified.