Exam 5: The Normal Curve

A social researcher has constructed a measure of racial prejudice and obtained a distribution of scores on this measure from a randomly selected sample of public office holders. The scores were normally distributed with a mean of 45 and a standard deviation of 7. What is the probability that a randomly selected case from the sample will have a score less than 38?

Converting scores into Z scores standardizes the original distribution to units of the________.

On all normal curves the area between the mean and ± 2 standard deviations will be________.

The area between two negative Z scores can be found by________.

The area between the mean and a Z score of +1.50 is 43.32%. This score is higher than _________ of the scores in the distribution.

Unlike empirical distribution, the theoretical normal curve is________.

Column c in the normal curve table lists "areas beyond Z". This is the area________.

Distributions of IQ scores are normally distributed because________.

What is the probability that a randomly selected case from a normally distributed distribution will have a score between -1.00 and the mean?

The probability that a randomly selected case will have a score beyond ± 1.00 standard deviation of the mean is________.

The probability of getting a 1 in a single toss of a six sided die would be________.

On all normal curves the area between the mean and +1 standard deviation will be________.

In a distribution of 150 test scores, the mean grade was an 82 and the standard deviation was 8. If a student scored a 93, what would their equivalent Z score be?

A Z score of -2.00 indicates a score that lies________.

The area between a negative Z score and a positive Z score can be found by________.

When an empirical normal distribution of scores is standardized________.

A Z score of +1.00 indicates a score that lies________.

For the distribution of GPAs described in problem 1, what is the probability that a randomly selected student will have a GPA Z score Probability a. less than 3.40 b. less than 3.78 c. more than 3.50 d. more than 2.50 e. between 2.00 and 3.00 f. between 3.00 and 3.50

The area between the mean and a Z score of +1.50 is 43.32%. This score is less than _________ of the scores in the distribution.

If a Z score is + 1.00, then the value of the corresponding raw score would be________.