Random samples of size 36 each are taken from a large population whose mean is 120 and standard deviation is 39 . The mean and standard error of the sampling distribution of sample mean, respectively, are:
a. 120 and 39
b. 120 and 6.5
c. 120 and 5.5
d. 39 and 120
e. 6.5 and 120
Q. 2The number of degrees of freedom associated with the t-test, when the data are gathered from a matched pairs experiment with 8 pairs, is 7.
Indicate whether the statement is true or false
Q. 3Consider a large population with a mean of 150 and a standard deviation of 27 . A random sample of size 36 is taken from this population. The standard error of the sampling distribution of sample mean is equal to:
a. 4.17
b. 4.50
c. 5.20
d. 5.56
e. 6.00
Q. 4A statistics professor wanted to test whether the grades on statistics test were the same for upper and lower classmen. The professor took a random sample of size 12 from each and conducted a test determining that the variances were equal. For this situation, the professor should use a matched pairs t-test.
Indicate whether the statement is true or false
Q. 5A population with a large standard deviation will have a sampling distribution that is more spread out for a given sample size than a similar population with a small standard deviation.
Indicate whether the statement is true or false
Q. 6The matched pairs experiment always produce a larger test statistic than the independent samples experiment.
Indicate whether the statement is true or false
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