Asked by Connor Romero on Apr 28, 2024
Verified
The sampling distribution of the statistic 
) is the t distribution only if the sample is drawn from:
A) Student t distribution
B) a normal distribution
C) a chi-square distribution
D) a population greater than 100
E) an F distribution
Sampling Distribution
The probability distribution of a given statistic based on a random sample, used to make inferences about the population.
Normal Distribution
A symmetric distribution in the shape of a bell, indicating that occurrences of data close to the mean are more common than those far from the mean.
Statistic
A statistic is a single measure of some attribute of a sample, used to infer or estimate the corresponding attribute in the population.
- Utilize the t-distribution to construct confidence intervals when the population standard deviation is not known and the sample size is small.
Verified Answer
KK
Khadijah KabirMay 04, 2024
Final Answer :
B
Explanation :
The t distribution is appropriate for the sampling distribution of the statistic only when the sample is drawn from a normal distribution. Therefore, the correct choice is B, a normal distribution.
Learning Objectives
- Utilize the t-distribution to construct confidence intervals when the population standard deviation is not known and the sample size is small.