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Exam 5: The Normal Curve

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Question 1

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A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45.If GPA is normally distributed,what percentage of the students has GPAs $\begin{array}{|l|l|l|l|l|}\hline & & Z \text { score } && \text { Area } \\\hline \text { a. } & \text { less than } 2.30 ? & & & \\\hline \text { b. } & \text { Less than } 2.00 ? & & & \\\hline \text { c. } & \text { more than } 2.00 ? & & & \\\hline \text { d. } & \text { more than } 3.00 ? & & & \\\hline \text { e. } & \text { between } 2.50 \text { and } 3.50 ? & & & \\\hline \text { f. } & \text { between } 2.00 \text { and } 2.50 ? & & & \\\hline & & & & \\\end{array}$

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\(\begin{array}{|l|l|l|} \hline & Z \text { score } & \text { Area } \\ \hline \text { a. } & -1.07 & 14.23 \% \\ \hline \text { b. } & -1.73 & 4.18 \% \\ \hline \text { c. } & -1.73 & 95.82 \% \\ \hline \text { d. } & 0.49 & 31.21 \% \\ \hline \text { e. } & -0.62 \& 1.60 & 67.76 \% \\ \hline \text { f. } & -1.73 \&-0.62 & 22.58 \% \\ \hline & & \\ \end{array}\)

Question 2

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The tails of the theoretical normal curve

A) intersect with the horizontal axis between the 4th and 5th standard deviation.
B) intersect with the horizontal axis beyond the 5th standard deviation.
C) never touch the horizontal axis.
D) maintain the same distance above the horizontal axis beyond the 3rd standard deviation.

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Question 3

Multiple Choice

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The Z scores of two test scores are -1.17 and +2.38.To find the total area beyond these two scores,

As used in the social sciences,probabilities are a type of ____ which can vary from ____.

To find the area above a positive Z score or below a negative Z score you would

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

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

The standardized normal distribution (or Z distribution) has

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.

On all normal curves the area between the mean and $\pm$ 2 standard deviations will be

If a Z score is 0,then the value of the corresponding raw score would be

A defining characteristic of the normal curve is that it is

The mean score on a final chemistry exam was 75,and the standard deviation of the scores was 5.If the distribution is normal and your score was 70,what percentage of the scores was lower than yours?

If a case is randomly selected from a normal distribution,the score of the case will most likely be

To obtain the area below a positive Z score or above a negative Z score you would

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?

A Z score of +1.00 indicates a score that lies

What is the probability that a randomly selected case from the sample in the previous question would have a score of 52 or more?

To estimate probabilities,set up a fraction with the number of ____ in the numerator and the number of ____ in the denominator

The area between two negative Z scores can be found by