Asked by Elia Adele Marcheline on Jul 23, 2024
Verified
For the interval estimation of μ when σ is known and the sample is large, the proper distribution to use is the
A) normal distribution.
B) t distribution with n degrees of freedom.
C) t distribution with n + 1 degrees of freedom.
D) t distribution with n - 1 degrees of freedom.
Normal Distribution
A distribution pattern in probabilities that is balanced around the mean, signifying that data points near the mean have a higher frequency of occurrence compared to those far from the mean.
T Distribution
A probability distribution that arises when estimating the mean of a normally distributed population in situations where the sample size is small and the population standard deviation is unknown.
Degrees of Freedom
The number of independent values or quantities which can vary in an analysis without breaking any constraints.
- Determine the appropriate z or t value for confidence interval calculations, based on the sample size and the data at hand.
Verified Answer
LP
Laxmi PrasannaJul 29, 2024
Final Answer :
A
Explanation :
When σ is known and the sample is large, we use the normal distribution to estimate the interval of μ. This is because the central limit theorem ensures that the sample mean approaches a normal distribution as the sample size increases.
Learning Objectives
- Determine the appropriate z or t value for confidence interval calculations, based on the sample size and the data at hand.