*Chapter 17: Standard scores and normal distributions( FINAL) sd and mean

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a test of reaction times has a mean of 10 and a standard deviation of 4 in the normal adult population. What score (to the nearest whole number) would cut off the highest 10% of scores?

15

a normally distributed set of scores has a mean of 40 and a standard deviation of 8.

22.0.

the mean for a population is 500, with a standard deviation of 90; the scores are normally distributed. The proportion of scores which lie above 650 is:

0.0475.

the mean for a population is 500, with a standard deviation of 90; the scores are normally distributed. The proportion of scores between 300-400 is:

0.1203.

the mean for a population is 500, with a standard deviation of 90; the scores are normally distributed. The proportion of scores which lie between 460 and 600 is:

0.5365

a normally distributed set of scores has a mean of 40 and a standard deviation of 8. A z score of 1.25 corresponds to a raw score of:

50.

What percentage of the population would have scores up to and including 14 on this test?

84.13.

a normally distributed set of scores has a mean of 40 and a standard deviation of 8. The percentage of scores between 32-44 is:

53.28.

A group of patients has a mean weight of 80 kg, with a standard deviation of 10 kg. You are told that a patient's weight is two standard deviations below the mean. What is this patient's weight?

60 kg.

the mean for a population is 500, with a standard deviation of 90; the scores are normally distributed. The raw score which lies at the 90th percentile is:

615.20

a standard normal distribution. The percentage of cases falling between z = 20.5 and z = 12 is:

66.9%.

a standard normal distribution. The percentage of cases falling between z = 21 and z = 11 is:

68.3%.

a normally distributed set of scores has a mean of 40 and a standard deviation of 8. The percentile rank of a raw score of 48 is

84.13

the mean for a population is 500, with a standard deviation of 90; the scores are normally distributed. The percentile rank of a score of 667 is

96.86

z = 1.28 cuts off the highest 10% of scores in a normal distribution.

T

z scores express how many standard deviations a particular score is from the mean.

T

z = 22.58 has a percentile rank of 98 in a normal distribution.

F

The area of a normal curve between any two designated z scores expresses the proportion or percentage of cases falling between the two points.

T

In a normal curve, approximately 34% of the scores fall between z = 0 and z = 21.

T

A group of patients has a mean weight of 80 kg, with a standard deviation of 10 kg. You are told that a patient's weight is two standard deviations below the mean. What is this patient's weight?

half of all children will need treatment for longer than 8 weeks.

A percentile rank:

tells you what percentage of scores fall at or below a particular score.

What is the percentile rank of a score of 8 on this test?

30.85.

a standard normal distribution. The percentage of cases falling above z = 0.35 is:

36.3%.

a standard normal distribution. The percentage of cases falling either below z = 22 or above z = 12 is:

4.6%.

a test of reaction times has a mean of 10 and a standard deviation of 4 in the normal adult population. A person scores 8. That person's z score is:

20.5.

A group of patients has a mean weight of 80 kg, with a standard deviation of 10 kg. What is the standard score (z) for a patient whose weight is 50 kg?

23.

a normally distributed set of scores has a mean of 40 and a standard deviation of 8. The raw score which cuts off the lowest 5% of the population (rounded to the nearest whole number) is:

27

Which of the following statements is true?

All the above statements are true.

50% of scores fall between z = 0.5 and z = 20.5.

F

A percentile rank represents the number of cases falling above a particular score.

F

About 10% of scores fall 3 standard deviations above the mean.

F

If 20% of scores fall into a given class interval, then the percentile rank of the upper real limit of the class interval is 20.

F

In a normal distribution, the higher the z score, the higher will be the frequency of the corresponding raw score.

F

Negative z scores are further from the mean than positive z scores.

F

Notwithstanding the level of skewness in a distribution, the standard normal curve is useful for determining the percentile rank of a score.

F

The greater the value of and s, the greater the value of the z scores in corresponding standard distributions.

F

A standardized distribution has the same shape as the distribution from which it was derived.

T

Even when the distribution of raw scores is skewed, the standardized distribution will be normal.

T

Given a bimodal distribution of raw scores, the standard normal curve is inappropriate for calculating percentile ranks.

T

Numerous human characteristics are distributed approximately as a normal curve.

T

The mean of a standard normal distribution is always 1.0.

T

The percentile rank of z = 0 is always 50.

T

The z scores of three persons X, Y and Z in a statistical methods test were 12.0, 11.0 and 0.0, respectively. In terms of the original raw scores, which of the following statements is true?

The raw score difference between X and Y is equal to the raw score difference between Y and Z.

In an anatomy test, your result is equivalent to a standard or z score of 0.2. What does this z score imply?

Your result was slightly above average.


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