SOLUTION: ) Given that the population scores is normally distributed with µ = 110 and Ơ = 8, determine the following a. The percentile ranks of a score of 120 b. The percentage of sco

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Question 978626: ) Given that the population scores is normally distributed with µ = 110 and Ơ = 8, determine the following
a. The percentile ranks of a score of 120
b. The percentage of scores that are below a score of 99
c. The percentage of scores that are between a score of 101 and 122
d) The percentage of scores that are between a score of 114 and 124
e) The score in the population above which 5% of the scores lie

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(score-mean)/sd
1. Probability z>+1.25 = 0.8943; 89th percentile
2. Probability z<-1.375, and this is 0.0845; 8.45% are below 99.
3. z between -1.125 and +1.5 (-9/8 and 12/8, using the definition of z-score). This is 0.8029.
4. This is a z between 0.5 and 1.75. That is 0.2685.
5. the z-value for the 95th percentile is 1.645. Multiply that by 8 and the result is 13.16. This is above the mean, so add it to the population mean. The score would be 123.2