Exam 6: Where Am I Normal Distributions and Standard Scores

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The 3-sigma rule is violated when the mean, mode and median are the same value.

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The closer the score is to the mean, the less frequent it is in the distribution.

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Which of the following information is missing from non-standard scores that is present in standard scores?

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Jessica scores the same as the mean on a test. Her z-score is zero.

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An individual who scores higher than the mean on a test will have a z-score that is negative.

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In a symmetric distribution, the probability of obtaining a z-score above 3 is exactly the same as the probability of obtaining a z-score below -3.

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Kristie's z-score is -2.01 on a test with a mean of 70 and standard deviation of 2. What is her raw score? Round your answer to the nearest whole number.

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If you obtain an observed z-score that is larger than critical z, you should always reject the null hypothesis.

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Someone's z-score on a test can only be known if we know both the population mean of the test and the standard deviation.

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The z-test is a popular test because it is easy to calculate and does not make assumptions about the distribution of the data.

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Length (inch) Frequency 0.1 2 0.2 3 0.3 3 0.4 5 0.5 4 0.6 2 0.7 2 Adele is studying a new species of insect that emits an odor perceived to be pleasant to humans. The known population consists of 21 insects. Adele has measured the length of each one. Adele discovers a new specimen of this insect species. It is 0.5 inches long. What is its z-score?

(Multiple Choice)
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Last semester, Julia scored 140 on an intelligence test with a mean of 100 and standard deviation of 10. This year, she scored 100 on a different intelligence test with a mean of 60 and standard deviation of 10. Which of the following statements is true in relation to Julia's scores?

(Multiple Choice)
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A test of spatial skills has a mean of 70 and a standard deviation of 6. A different test for vocabulary knowledge has the same mean and standard deviation. Which of the following options is true?

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A deviation score is the numerator of the formula for calculating a z-score.

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Length (inch) Frequency 0.1 2 0.2 3 0.3 3 0.4 5 0.5 4 0.6 2 0.7 2 Adele is studying a new species of insect that emits an odor perceived to be pleasant to humans. The known population consists of 21 insects. Adele has measured the length of each one. An insect that is 0.2 inches long would have a deviation score of:

(Multiple Choice)
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Suzanne would like to calculate the z-score of her height relative to the height of ballerinas. She is 5'7. What other information does she need to obtain the z-score of her height?

(Multiple Choice)
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Length (inch) Frequency 0.1 2 0.2 3 0.3 3 0.4 5 0.5 4 0.6 2 0.7 2 Adele is studying a new species of insect that emits an odor perceived to be pleasant to humans. The known population consists of 21 insects. Adele has measured the length of each one. An insect in the original population is shorter than 96% of the class. How long is this particular insect?

(Multiple Choice)
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Josh's z-score on a test is -0.5. Which of the following options must be true?

(Multiple Choice)
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Lewis obtained a score of 45 on a test with a mean of 55 and a standard deviation of 10. What is the percentile of Lewis' score? Round your answer to the nearest whole number.

(Short Answer)
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A test of spatial skills has a mean of 80 and a standard deviation of 5. A newer, different test that also measures spatial skills has a mean of 100 and a standard deviation of 2. The distribution of the older test is ________________ than the distribution of the newer test.

(Multiple Choice)
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