Answer:
a) b. 9
b) c. 4
c) d. 4
Step-by-step explanation:
You are planning to evaluate the mean of a single continuous variable from a study with a sample of n =10 using the t statistic. What are the degrees of freedom for the sample?a. 11 b. 9 c. 10 d. 8
The formula for degree of freedom
= n - 1
n = 10
Degrees of freedom for the sample = 10 - 1
= 9
Option b is correct.
b) With another study, where you also plan on evaluating a mean using the t statistic, you have sample of n =31 that has as SS of 120.
What is the variance for the sample?a. 10.95 b. 14,400 c. 4 d. 2.00
The formula for Variance of a samples = SS(Sum of squares) /n - 1
n = 31
Variance of samples = 120/31 - 1
= 120/30
= 4
Option c is correct
c) For a sample of n =25 that has a sample variance of 400, what is the estimated standard error for the sample?a. 16 b. 17 c. 4.08 d. 4
The formula for standard error =
Standard deviation/√n
We are given Sample variance.
Standard deviation = √400
= 20
Hence, Standard Error = 20/√25
= 20/5
= 4
Option d is correct.