A researcher is interested in whether students who attend private elementary schools do any better on a standard test of intelligence than the general population of elementary school children. A random sample of 75 students at a private elementary
school is tested and has a mean intelligence test score of 103.5 . The average for the general population of elementary school children is 100 (s = 15).
What will be an ideal response?
a) Is this a one- or a two-tailed test?
This is a two-tailed test.
b) What are H0 and Ha for this study?
H0: mprivate school children = mchildren in general population; Ha: mprivate school children ≠ mchildren in general population
c) Compute zobt.
zobt = 2.02
d) What is zcv?
1.96
e) Should H0 be rejected? What should the researcher conclude?
Yes, H0 should be rejected. The research should conclude that children in private schools do
score higher on a general test of intelligence in comparison to children in the general
population.
f) Calculate the 95% confidence interval for the population mean, based on the sample mean.
74.1-132.9
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