1. List all of the characteristics of the Standard Normal Distribution.

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10:46 1
3134_M9L4_practice...
AFDA
9.4 Practice
1. List all of the characteristics of the Standard Normal Distribution.
2. Why is finding the z-score called standardizing data?
3. Does the Empirical Rule apply to the standard nomal curve?
4. Define percentile.
5. When finding the percentage of data in a given section of the normal curve, you are finding the
under the curve.
6. To find the area under the curve, you need four pieces of information. What are they?
7. Write what you would put in for the lower bound (min) and the upper bound (max) to find each
probability in your calculator.
P (x > 15) min
P (10<x<13) min
P(x < 50) min
P(x>125) min
max
max
max
max
For #8 - 10, find the probability of the event described.
8. For a normal distribution with u = 138.2 and a = 10.3, find the probability of...
a) P(x > 140) =
b) P(x < 120) =
c) P(115 <x< 125) =
d) P(x > 130) =
9. For a normal distribution with u = 12.8 and o = 1.35, find the probability of...
a) P(x > 11) =
c) P(10.5 <x< 11.2) =
b) P(x < 12.2) =
d) P(13.1 <x< 13.9)=
.
AFDA
9.4 Practice
10. The SAT is one of two major college aptitude tests that is taken. The mean composite score is
1060 with a standard deviation of 195. Assuming that the distribution of scores is approximately
normal, find the probability that a randomly selected test taker.
a) scores above 1100.
b) scores between 1100 and 1200.
c) scores above 1400.
11. Using the information from #10, find the percentile for each score:
a) Susan scored 980; this puts her in the
percentile.
b) Jaydin scored 1125; this puts him in the
percentile.
c) Yesinia scored 1302; this puts her in the
percentile.
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Transcribed Image Text:10:46 1 3134_M9L4_practice... AFDA 9.4 Practice 1. List all of the characteristics of the Standard Normal Distribution. 2. Why is finding the z-score called standardizing data? 3. Does the Empirical Rule apply to the standard nomal curve? 4. Define percentile. 5. When finding the percentage of data in a given section of the normal curve, you are finding the under the curve. 6. To find the area under the curve, you need four pieces of information. What are they? 7. Write what you would put in for the lower bound (min) and the upper bound (max) to find each probability in your calculator. P (x > 15) min P (10<x<13) min P(x < 50) min P(x>125) min max max max max For #8 - 10, find the probability of the event described. 8. For a normal distribution with u = 138.2 and a = 10.3, find the probability of... a) P(x > 140) = b) P(x < 120) = c) P(115 <x< 125) = d) P(x > 130) = 9. For a normal distribution with u = 12.8 and o = 1.35, find the probability of... a) P(x > 11) = c) P(10.5 <x< 11.2) = b) P(x < 12.2) = d) P(13.1 <x< 13.9)= . AFDA 9.4 Practice 10. The SAT is one of two major college aptitude tests that is taken. The mean composite score is 1060 with a standard deviation of 195. Assuming that the distribution of scores is approximately normal, find the probability that a randomly selected test taker. a) scores above 1100. b) scores between 1100 and 1200. c) scores above 1400. 11. Using the information from #10, find the percentile for each score: a) Susan scored 980; this puts her in the percentile. b) Jaydin scored 1125; this puts him in the percentile. c) Yesinia scored 1302; this puts her in the percentile. Dashboard Calendar To Do Notifications Inbox 因
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