Quantitative Reasoning 6C – The Normal Distribution
25 test answers
Unlock all answers in this set
Unlock answers 25question
For women at Hartford College, times to run 400 meters are normally distributed with a mean of 84 seconds and a standard deviation of 7 seconds. What percentage of the times are more than 63 seconds?
answer
99.85%
Unlock the answer
question
Scores on a test are normally distributed with a mean of 102 and a standard deviation of 16. What percentage of scores are greater than 134?
answer
2.5%
Unlock the answer
question
At one college, GPA's are normally distributed with a mean of 2.9 and a standard deviation of 0.4. What percentage of students at the college have a GPA between 2.5 and 3.3?
answer
68%
Unlock the answer
question
The amount of Jen's monthly phone bill is normally distributed with a mean of $53 and a standard deviation of $11. What percentage of her phone bills are between $20 and $86?
answer
99.7%
Unlock the answer
question
Assume that a distribution has a mean of 21 and a standard deviation of 6. What percentage of the values in the distribution do we expect to fall between 15 and 21?
answer
34%
Unlock the answer
question
Assume that a distribution has a mean of 24 and a standard deviation of 6. What percentage of the values in the distribution do we expect to fall between 24 and 36?
answer
47.5%
Unlock the answer
question
For adults in the town of Bridgeport, systolic blood pressure is normally distributed with a mean of 140 mmHg and a standard deviation of 10 mmHg. What percentage of adults in the town have a systolic blood pressure less than 110 mmHg?
answer
0.15%
Unlock the answer
question
The amount of Jen's monthly phone bill is normally distributed with a mean of $56 and a standard deviation of $12. 68% of her phone bills are between $_____ and $______.
answer
$44 and $68
Unlock the answer
question
The annual precipitation for one city is normally distributed with a mean of 30.6 inches and a standard deviation of 3.1 inches. In 99.7% of the years, the precipitation in this city is between _______ and _______ inches.
answer
21.3 and 39.9
Unlock the answer
question
Scores on a test are normally distributed with a mean of 102 and a standard deviation of 7. What is the standard score for an exam score of 108?
answer
0.86
Unlock the answer
question
Scores on a test are normally distributed with a mean of 112 and a standard deviation of 13. What is the exam score corresponding to a standard score of -0.67?
answer
103.29
Unlock the answer
question
For the data value, find the standard score and the percentile. A data value 0.6 standard deviations above the mean.
answer
z = 0.6, percentile = 72.57
Unlock the answer
question
For the data value, find the standard score and the percentile. A data value 1.3 standard deviations above the mean.
answer
z = 1.3, percentile = 90.32
Unlock the answer
question
For the data value, find the standard score and the percentile. A data value 0.9 standard deviations below the mean.
answer
z = -0.9, percentile = 18.41
Unlock the answer
question
For the data value, find the standard score and the percentile. A data value 2.3 standard deviations below the mean.
answer
z = -2.3, percentile = 1.07
Unlock the answer
question
Find the standard score for the given data value. A data value in the 8th percentile.
answer
z = -1.4
Unlock the answer
question
Find the standard score for the given data value. A data value in the 31st percentile.
answer
z = -0.5
Unlock the answer
question
Find the standard score for the given data value. A data value in the 58th percentile.
answer
z - 0.2
Unlock the answer
question
Find the standard score for the given data value. A data value in the 97th percentile.
answer
z = 1.9
Unlock the answer
question
Suppose that the mean salary in a particular profession is $45,000 with a standard deviation of $2,000. To what percentile does a salary of $48,000 correspond?
answer
93rd
Unlock the answer
question
Scores on a test are normally distributed with a mean of 70 and a standard deviation of 5. What is the percentile for an exam score of 61? Round to the nearest tenth.
answer
78.8
Unlock the answer
