(A) If 120 scores are chosen from a normal distribution with mean and standard deviation 8 , how many scores x would be expected to satisfy 67 ≤ x ≤ 83 (B) Usea graphing calculator to generate 120 scores from the normal distribution with mean 75 and standard deviation 8 . Determine the number of scores x such that 67 ≤ x ≤ 83 , and compare your results with the answerto part (A).
(A) If 120 scores are chosen from a normal distribution with mean and standard deviation 8 , how many scores x would be expected to satisfy 67 ≤ x ≤ 83 (B) Usea graphing calculator to generate 120 scores from the normal distribution with mean 75 and standard deviation 8 . Determine the number of scores x such that 67 ≤ x ≤ 83 , and compare your results with the answerto part (A).
Solution Summary: The author calculates the number of scores that satisfies 67le xl 83 if 120 scores are chosen from a normal distribution with mean as 75 and standard deviation as
(A) If
120
scores are chosen from a normal distribution with mean and standard deviation
8
, how many scores
x
would be expected to satisfy
67
≤
x
≤
83
(B) Usea graphing calculator to generate
120
scores from the normal distribution with mean
75
and standard deviation
8
. Determine the number of scores
x
such that
67
≤
x
≤
83
, and compare your results with the answerto 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.
A doctor in the oncology department of a hospital surveyed the breathing rateof cancer patients. The mean and standard deviation of breathing rates for a group of patients are 12 and 2.3 breaths per minute, respectively. State the theorem applied"proportion of the patients having breathing rates from 7.4 to 16.6 breaths per minute" and explain why this theorem is chosen.
The graph illustrates the distribution of test scores taken by College Algebra students. The maximum
possible score on the test was 140, while the mean score was 74 and the standard deviation was 15.
+
+
29
44
59
74
89
104
119
Distribution of Test Scores
Use the "Empirical Rule", not a calculator or other technology. Do not round your answers.
What is the approximate percentage of students who scored between 74 and 89 on the test?
What is the approximate percentage of students who scored between 44 and 104 on the test?
What is the approximate percentage students who scored between 59 and 89 on the test?
50
What is the approximate percentage of students who scored less than 44 on the test?
What is the Differences Between Predicted and Observed Values
Chapter 10 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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