1. A normal distribution has a mean m = 58 with s= 2. What is the probability of selecting an individual with: a. A score greater than 60? b. A score less than 55? c. A score less than 65? d. A score between 52 and 65?

MATLAB: An Introduction with Applications
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Know terms for all chapters.
1. A normal distribution has a mean m = 58 with s= 2. What is
the probability of selecting an individual with:
a. A score greater than 60?
b. A score less than 55?
c. A score less than 65?
d. A score between 52 and 65?
2. Each of the following samples was obtained from a
population with m = 45 and s=5. Find the z-score
corresponding to each sample mean.
a. M = 52 for a sample of n = 4
b. M = 40 for a sample of n = 9
c. M = 31 for a sample of n = 36
d. M = 60 for a sample of n = 25
3. Find the z score associated with each of the following regions:
a. top 40% of the distribution
b. middle 50% of the distribution
c. bottom 20% of the distribution
d. top 60% of the distribution
4. A population of scores with m = 50 and s = 10 is standardized
to create a new population with m = 27 and s=4. What is the
new value for each of the following scores from the original
population?
Original score
X = 20
X = 48
X = 53
X = 60
Z-score
5. In a population with m = 65 and s = 6, Fred is 1 ½ standard
deviations above the mean, John's z-score = +2.0, and
Frances' score is 90. Who scored the highest?
AA
6. A normal distribution has a m = 30 and s=5. Find the scores
associated with the following regions:
a. the score needed to be in the top 40% of the
distribution
New Value
moodle.nsula.edu
₁
Transcribed Image Text:Know terms for all chapters. 1. A normal distribution has a mean m = 58 with s= 2. What is the probability of selecting an individual with: a. A score greater than 60? b. A score less than 55? c. A score less than 65? d. A score between 52 and 65? 2. Each of the following samples was obtained from a population with m = 45 and s=5. Find the z-score corresponding to each sample mean. a. M = 52 for a sample of n = 4 b. M = 40 for a sample of n = 9 c. M = 31 for a sample of n = 36 d. M = 60 for a sample of n = 25 3. Find the z score associated with each of the following regions: a. top 40% of the distribution b. middle 50% of the distribution c. bottom 20% of the distribution d. top 60% of the distribution 4. A population of scores with m = 50 and s = 10 is standardized to create a new population with m = 27 and s=4. What is the new value for each of the following scores from the original population? Original score X = 20 X = 48 X = 53 X = 60 Z-score 5. In a population with m = 65 and s = 6, Fred is 1 ½ standard deviations above the mean, John's z-score = +2.0, and Frances' score is 90. Who scored the highest? AA 6. A normal distribution has a m = 30 and s=5. Find the scores associated with the following regions: a. the score needed to be in the top 40% of the distribution New Value moodle.nsula.edu ₁
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