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Give the possibility of randomly selecting a z-score

Probability based on normal distribution.

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.

True

False

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

True

False

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.

True

False

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

True

False

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.

True

False

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

True

False

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)

True

False

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

True

False

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

True

False

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## Q : Distribution of amounts

Suppose the distribution of amounts purchased follows normal distribution. For the sample of 50 customers, answer the following questions. What is the likelihood the sample mean is at least $25.00?