(A) If 250 scores are chosen from a normal distribution with mean 100 and standard deviation 10 , how many scores x would be expected to be greater than 110 ? (B) Use a graphing calculator to generate 250 cores from the normal distribution with mean 100 and standard deviation 10 . Determine the number of scores greater than 110 , and compare your results with the answer to part (A).
(A) If 250 scores are chosen from a normal distribution with mean 100 and standard deviation 10 , how many scores x would be expected to be greater than 110 ? (B) Use a graphing calculator to generate 250 cores from the normal distribution with mean 100 and standard deviation 10 . Determine the number of scores greater than 110 , and compare your results with the answer to part (A).
Solution Summary: The author calculates the number of scores that will be greater than 110 if 250 scores are chosen from a normal distribution.
(A) If
250
scores are chosen from a normal distribution with mean
100
and standard deviation
10
, how many scores xwould be expected to be greater than
110
?
(B) Use a graphing calculator to generate
250
cores from the normal distribution with mean
100
and standard deviation
10
. Determine the number of scores greater than
110
, and compare your results with the answer to part (A).
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
College Algebra with Modeling & Visualization (5th Edition)
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