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Mixed Statistics and Tailed Tests

For each of the following scores, use the one-tail five percent (5%) criteria and
determine if the occurrence of the score would be considered relatively likely or
unlikely?
a. 18 b. 24 c. 25

7. For a two-tailed test or nondirectional hypothesis, the researcher is interested in results
that occur in either tail of the normal curve (e.g., they are interested in extreme high
scores and extreme low scores). Therefore, when using the 5% criteria to judge the
likelihood of a score, the researcher identifies the score that divides the curve into three
parts (the first part containing the lower 2.5% of scores, the second part containing the
middle 95% of the scores, and the third part containing the upper 2.5% of the scores).
What value of z separates the normal curve into these three sections?

8. For each of the following scores, use the two-tail five percent (5%) criteria and
determine if the occurrence of the score would be considered relatively likely or
unlikely?
a. 25 b. 26
9. Why was a score of 25 considered unlikely in #6 but not unlikely in #8?

mean = 20.37
sd 2.75

Solution Preview

(6) The critical one-tail z- score for a = 0.05 is 1.645

(a) z = (18 - 20.37)/2.75 = -0.8618

(b) z = (24 - 20.37)/2.75 = 1.32

(c) z = (25 - 20.37)/2.75 = 1.6836

Since -0.8618 ...

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