Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. A researcher conducts a hypothesis test using a sample from an unknown popula

ID: 3125690 • Letter: 1

Question

1. A researcher conducts a hypothesis test using a sample from an unknown population. If the t statistic has df = 35, how many individuals were in the sample?

A. n = 35

B. It cannot be determined from the information given.

C. n = 36

D. n = 34

2. In general, the larger the value of the sample variance, the greater the likelihood of rejecting the null hypothesis.

True

False

3. A sample of n = 4 scores with SS = 48 has a variance of 16 and an estimated standard error of 2.

False

True

4.   A sample of n = 25 scores has a mean of M = 40 and a variance of s2 = 100. What is the estimated standard error for the sample mean?

a. 1

b. 2

c. Square root of 2

d. 4

5. Two samples from same population probably will have different t statistics even if they are the same size and have the same mean.

True

False

Explanation / Answer

1.If the t statistic has df = 35, then the number of individuals is n=35+1=36

2. In general, the larger the value of the sample variance, the greater the likelihood of rejecting the null hypothesis.False.

Increasing sample variance increases the estimated standard error and increase the likelihood of rejecting H0.

3.The estimated standard error is:

s^2/n=4/2=2

4.The estimated standard error for the sample mean is:

s^2/n=100/25=2

5. Two samples from same population probably will have different t statistics even if they are the same size and have the same mean. TRUE.