Question

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. 11b. 9c. 10d. 8With 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. 10.95b. 14,400c. 4d. 2.00For a sample of n =25 that has a sample variance of 400, what is the estimated standard error for the sample?a. 16b. 17c. 4.08d. 4

Answer 1

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.