The Central Limit theorem states that the distribution of differences is
a. always based on a pair of samples
b. always based on a single sample
c. a parameter
d. approximately normal in shape
Question 2The concept of the standard error of the mean implies that the estimated population standard deviation must yield a value which over-estimates the true mean.
Indicate whether the statement is true or false
Question 3A researcher wishes to estimate the reliability of the FYI (Functional Youth Indicator) - a new test of adolescent shyness.
The test is composed of a total of 30 items, and the researcher splits the scoring in order to compare each subject's score on the odd numbered items with those on the even numbered items. A total of 10 teen-age males was randomly selected and their scores were as follows:
Odd Even
Subject X Y
1. 10 9
2. 8 11
3. 12 12
4. 10 9
5. 11 10
6. 9 10
7. 10 9
8. 15 14
9. 5 6
10. 10 10
Estimate the reliability of the whole test.
What will be an ideal response?
Question 4The concept of the standard error of the mean indicates that the actual population mean can never be a true parameter.
Indicate whether the statement is true or false
Question 5The estimated standard error of difference is an estimate of
a. centrality
b. variability
c. normality
d. none of these, since the estimated standard error of difference is not a
statistic.