1. Which of the following is not true? a. The mean, median, and mode are equal to 0 and are located at the center of the t-distribution. b. The t-distribution, the variance is greater than 1. c. On the t-distribution, the curve never touches the x axis. d. The t-distribution is most useful for small sample sizes, when the population standard deviation is known, or both.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1. Which of the following is not true?
a. The mean, median, and mode are equal to 0 and are located at the center of the t-distribution.
b. The t-distribution, the variance is greater than 1.
c. On the t-distribution, the curve never touches the x axis.
d. The t-distribution is most useful for small sample sizes, when the population standard deviation is known, or both.

2. What will be the degree of freedom with a t-value of 1 and a sample size of 2?

3. Which of the following is not the characteristics of t-distribution?
a. Like the normal distribution, the t-distribution has a smooth shape.
b. Like the normal distribution, the t-distribution is symmetric. If you think about folding it in half at the mean, each side will be the same.
c. Like a standard normal distribution (or z-distribution), the t- distribution has a mean of one.
d. The normal distribution assumes that the population standard deviation is known. The t-distribution does not make this assumption

 

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