Asked by Somtochi Ibezim on Jul 08, 2024
Verified
Which of the following statements is true with respect to the t distribution?
A) The t distribution is more spread out than the standard normal distribution.
B) The t distribution is symmetrical.
C) The shape of the t distribution depends on the number of degrees of freedom.
D) All of these.
E) None of these.
T Distribution
This type of probability distribution comes into play when attempting to estimate the mean of a normally distributed population, specifically when dealing with a small sample size and lacking knowledge of the population's standard deviation.
Degrees Of Freedom
The number of values in a calculation that are free to vary, often related to the sample size, affecting the shape of various statistical distributions.
Standard Normal Distribution
A normal distribution with a mean of zero and a standard deviation of one, used as a basis for comparison in many statistical methodologies.
- Comprehend the manner in which the t-distribution converges towards the normal distribution as degrees of freedom increase.
- Understand that alterations in the sample mean do not affect the shape of the t-distribution.
Verified Answer
Learning Objectives
- Comprehend the manner in which the t-distribution converges towards the normal distribution as degrees of freedom increase.
- Understand that alterations in the sample mean do not affect the shape of the t-distribution.
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