6. What proportion of the normal distribution corresponds to the tail beyond z =
ID: 3277213 • Letter: 6
Question
6. What proportion of the normal distribution corresponds to the tail beyond z = –0.60?
7. What z-scores form the boundaries of the middle 70% of the distribution?
8. When a random sample is selected from a population, the sample mean is not expected to be exactly equal to the population mean. On average, the size of the difference between a sample mean and the population mean is predicted by the value of the ____.
9. As the size of a sample increases, the size of the associated error
10. Which conditions would results in the least amount of error?
11. Compute the value of , if = 10 and n = 25.
_____
12. Compute the value of , if = 100 and n = 100.
_____
Explanation / Answer
6) P (Z > -0.60) = 1 - P(Z < -0.60)
= 1 - 0.2743 = 0.7257
7) P(Z < 0.85) = 0.8023
P(Z < 0.15) = 0.5596
8) standard error.
9) As the size of sample increase, the size of the associated error decrease.
10) Decrease in sample size, results in the least amount of error.
11) error = standard deviation / sqrt (sample size)
= 10 / sqrt(25) = 10/5 = 2
12) error = 100/sqrt (100) = 100/10 =10
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