QUESTION 16 "A population of score is normally distributed and has a mean = 172 with standard deviation = 34. If one score is randomly selected from this distribution, what is th probability that the score will have a value between X = 80 and X = 156? (Please input answer as a probability with four decimal places)."

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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16
**Educational Material on Normal Distribution and z-Scores**

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**Question 14:**
"For a population with a mean = 550 and a standard deviation = 65, what is the X value corresponding to z = -2.66? (Be sure to round the answer to the second decimal place.)"

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**Question 15:**
"For a normal distribution with a mean = 130 and a standard deviation = 22, what would be the X value that corresponds to the 79th percentile? (Be sure to round your answer to the second decimal place.)"

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**Question 16:**
"A population of scores is normally distributed and has a mean = 172 with a standard deviation = 34. If one score is randomly selected from this distribution, what is the probability that the score will have a value between X = 80 and X = 156? (Please input the answer as a probability with four decimal places.)"

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These questions involve understanding how to calculate and interpret z-scores in the context of normal distributions. Users are required to find specific values or probabilities using given means and standard deviations, crucial skills in statistical analysis.
Transcribed Image Text:**Educational Material on Normal Distribution and z-Scores** --- **Question 14:** "For a population with a mean = 550 and a standard deviation = 65, what is the X value corresponding to z = -2.66? (Be sure to round the answer to the second decimal place.)" --- **Question 15:** "For a normal distribution with a mean = 130 and a standard deviation = 22, what would be the X value that corresponds to the 79th percentile? (Be sure to round your answer to the second decimal place.)" --- **Question 16:** "A population of scores is normally distributed and has a mean = 172 with a standard deviation = 34. If one score is randomly selected from this distribution, what is the probability that the score will have a value between X = 80 and X = 156? (Please input the answer as a probability with four decimal places.)" --- These questions involve understanding how to calculate and interpret z-scores in the context of normal distributions. Users are required to find specific values or probabilities using given means and standard deviations, crucial skills in statistical analysis.
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