Question 1

A sampling distribution of means for samples of students taking the SAT exam has a population mean of 500 and a standard error of 200.What proportion of sample means would fall between the population mean and a sample mean of 800?

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Question 2

Suppose you know that a population standard deviation for a given measure is 18.For a sample of 169 subjects who have taken this measure, would would the standard error of the mean be?

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Question 3

Briefly note the three basic procedures used to describe a sample mean from any underlying raw score population.

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Question 4

Suppose you have a z-score value of 3.You also know the values of the mean of the sampling distribution and the standard error of the mean, both of which are 5.Would would be the sample mean?

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Question 5

What is the area above a z-score of 1.96?

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Question 6

If only the upper 30% of a normally distributed class passed a quiz for which the mean was 70 and the standard deviation was 10, what was the lowest score a student could have received and still have passed?

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Question 7

Suppose a standardized test given to ninth-graders in Texas has a mean score of 125.Suppose at a given school in Texas, the ninth-graders have a mean score of 105.Why is this discrepancy present, and is it problematic?

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Question 8

Barbara's z-score is -1.5.What does this score tell us relative to the mean of the population from which these scores originated?

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Question 9

If your sense of direction, relative to a sample of college students, gave you a z-score of +1.5, what is your percentile?

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Question 10

What is the standard deviation of any z-distribution?

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Question 11

Consider the z-scores in parentheses) for the following individuals: Frank 0.5), Zoe -1.2), Jimmy 2.9), and Lilly - 3.3).Which of these individuals would have a) the lowest score, b) highest score, c) and most common score in the distribution?

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Question 12

What percentage of scores in a normal distribution fall outside of the range of +3 SDs from the mean?

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Question 13

For the following set of scores, what is the percentile for a score of 24?

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Quiz 5: Describing Data With Z-Scores and the Normal Curve