NYIT
TAKE-HOME QUIZ ON NORMAL DISTRIBUTION
Due
Friday, March 13 by 6pm EST by posting in the applicable Blackboard assessment
tab – e-mail, hand submittals cannot be accepted – shortly after 6pm, I will
post solution for your review and revision if like to enhance grade.
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1.
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The distribution of the
annual incomes of foremen at the Marvin Window Company approximated a normal
distribution with a mean of $37,200 and a standard deviation of $800. About
68% of the incomes lie between what two incomes?
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2.
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Which of the following
is true in a normal distribution?
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B.
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The mode and the third
quartile are equal.
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C.
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The mean divides the
distribution into two equal areas.
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D.
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The area under the
curve is 0.68.
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3.
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Tables of normal
distribution probabilities are found in many statistics books. These
probabilities are calculated from a normal distribution with
___________.
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A.
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A mean of 1 and a
standard deviation of 1
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B.
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A mean of 100 and a
standard deviation of 15
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C.
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A mean of 0 and a
standard deviation of 15
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D.
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A mean of 0 and a
standard deviation of 1
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4.
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Two normal distributions
are compared. One has a mean of 10 and a standard deviation of 10. The second
normal distribution has a mean of 10 and a standard deviation of 2. Which of
the following is true?
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A.
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The locations of the
distributions are different.
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B.
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The distributions are
from two different families of distributions.
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C.
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The dispersions of the
distributions are different.
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D.
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The dispersions of the
distributions are the same.
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5.
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A normally distributed
random variable has _________.
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A.
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Any value between -∞
and + ∞.
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C.
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Any value between
specified minimum and maximum values.
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D.
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Only two values, success
and failure.
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6.
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The total area of a
normal probability distribution is _______.
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C.
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Dependent on a value
of “z”
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D.
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Approximated by the
binomial distribution
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7.
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In an illustration of a
normal probability distribution, a shaded area represents _______.
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8.
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The standard normal
probability distribution is unique because it has _________.
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A.
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A mean of 1 and any
standard deviation
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B.
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Any mean and a
standard deviation of 1
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C.
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A mean of 0 and any
standard deviation
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D.
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A mean of 0 and a
standard deviation of 1
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9.
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The weekly mean income
of a group of carpenters is $1,000 and the standard deviation of this group
is $100. The distribution is normal. What percent of the carpenters have an
income of $925 or less?
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10.
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A candy bar is normally
distributed with a mean of 1,000 grams and a standard deviation of 50 grams.
What percent of the candy bars weigh 860 grams or less?
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11.
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What is a normal
distribution with a mean of 0 and a standard deviation of 1 called?
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A.
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Frequency distribution
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C.
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Standard normal
distribution
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D.
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Binomial probability
distribution
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12.
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The mean weight of a
watermelon plant is 15.0 pounds, and the standard deviation of the normally
distributed weights is 1.75 pounds. Of 200 watermelons, how many weighed
between 13 and 16 pounds?
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13.
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The Marvin Window Company
estimated that the distribution of the time for two construction workers to
install 50 custom window sets is normally distributed with a mean of 32 hours
and a standard deviation of 2 hours. What percent of 50 window sets take
between 32 and 34 hours to erect?
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