Respuesta :
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.
a) The degrees of freedom for the sample is option b. 9.
b) The variance is option c. 4.
c) The standard error is option d. 4.
Calculation of the degree of freedom, variance, and the standard error:
a.
The formula for degree of freedom
= n - 1
n = 10
Now
Degrees of freedom for the sample should be
= 10 - 1
= 9
b) The variance should be
Since
n = 31
So,
Variance of samples = 120/31 - 1
= 120/30
= 4
c.
The formula for standard error is
= Standard deviation/√n
Here,
Standard deviation = √400
= 20
so, Standard Error = 20/√25
= 20/5
= 4
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