NYIT TAKE-HOME QUIZ ON NORMAL DISTRIBUTION_x000d_
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._x000d_
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1._x000d_
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? _x000d_
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2._x000d_
Which of the following is true in a normal distribution? _x000d_
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A. _x000d_
The mean equals zero._x000d_
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The mode and the third quartile are equal._x000d_
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The mean divides the distribution into two equal areas._x000d_
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D. _x000d_
The area under the curve is 0.68._x000d_
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3._x000d_
Tables of normal distribution probabilities are found in many statistics books. These probabilities are calculated from a normal distribution with ___________. _x000d_
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A mean of 1 and a standard deviation of 1_x000d_
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A mean of 100 and a standard deviation of 15_x000d_
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A mean of 0 and a standard deviation of 15_x000d_
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A mean of 0 and a standard deviation of 1_x000d_
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4._x000d_
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? _x000d_
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The locations of the distributions are different._x000d_
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The distributions are from two different families of distributions._x000d_
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The dispersions of the distributions are different._x000d_
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The dispersions of the distributions are the same._x000d_
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5._x000d_
A normally distributed random variable has _________. _x000d_
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Any value between -∞ and + ∞._x000d_
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Discrete values._x000d_
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Any value between specified minimum and maximum values._x000d_
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D. _x000d_
Only two values, success and failure._x000d_
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6._x000d_
The total area of a normal probability distribution is _______. _x000d_
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Between -3.0 and 3.0_x000d_
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1.00_x000d_
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C. _x000d_
Dependent on a value of “z”_x000d_
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Approximated by the binomial distribution_x000d_
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7._x000d_
In an illustration of a normal probability distribution, a shaded area represents _______. _x000d_
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A permutation_x000d_
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A combination_x000d_
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A probability_x000d_
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A standard deviation_x000d_
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8._x000d_
The standard normal probability distribution is unique because it has _________. _x000d_
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A mean of 1 and any standard deviation_x000d_
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Any mean and a standard deviation of 1_x000d_
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C. _x000d_
A mean of 0 and any standard deviation_x000d_
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D. _x000d_
A mean of 0 and a standard deviation of 1_x000d_
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9._x000d_
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? _x000d_
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10._x000d_
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? _x000d_
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11._x000d_
What is a normal distribution with a mean of 0 and a standard deviation of 1 called? _x000d_
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Frequency distribution_x000d_
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B. _x000d_
Z-score_x000d_
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Standard normal distribution_x000d_
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D. _x000d_
Binomial probability distribution_x000d_
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12._x000d_
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? _x000d_
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13._x000d_
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? _x000d_
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