Normal dostribution for randomly selection

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Reference no: EM1320474

Write down True or False:

1. A z-score of z = +1. A z-score of z = +2.00 indicates a position located exactly two standard deviations above the mean.

2. For a population with ? = 100 and s = 20, the X value corresponding to z = 1.50 is X = 130.

3. A population with ? = 100 and s = 20 is transformed into z-scores. The resulting distribution of z-scores will have a mean of zero.

4. One advantage of transforming X values into z-scores is that the transformation always creates a normal distribution.

5. For a population with ? = 100 and s = 10, the score corresponding to z = 1.50 is X = ________.

a.X = 101.5

b.X = 105

c.X = 110.5

d.X = 115

6. Random sampling requires that each individual in the population has an equal chance of being selected.

7. A container has 4 red marbles and 5 blue marbles. If one marble is selected randomly, then the probability of obtaining a red marble is 4/5 or 0.80.

8. For a normal distribution, the proportion in the tail beyond z = +1.00 is p = .1587, and the proportion in the tail beyond z = -1.00 is p = -.1587. (Points: 1)

9. If a vertical line is drawn through a normal distribution at z = 1.00, the proportion to the left of the line will be equal to 0.8413.

10. For a normal distribution, the probability of randomly selecting a z-score greater than z = -2.00 is p = .0228.

Reference no: EM1320474

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