The final exam scores for History 101 are at the University of Oklahoma are normally distributed with mean p = 73.4 and standard deviation o = 8.2, use the Z scores and Z areas table to find the following: If 1 student is randomly selected, find the probability that the student scored an A (90 or above) on the exam. 18 (A) 0.9783 (B) 0.9673 (C) 0.0864 (D) 0.0217 X scor H= 73.4 O = 8.2 Z scal z = 0 If 1 student is randomly selected, find the probability that the student scored an F (59 or below) on the exam. 19 (A) 0.9608 (B) 0.0392 (C) 0.6380 (D) 0.7642 If a sample of 25 students are randomly selected, find the probability that the mean of their test scores was 75 or below. 20 (A) 0.9306 (B) 0.8298 (C) 0.8340 (D) 0.7506
The final exam scores for History 101 are at the University of Oklahoma are normally distributed with mean p = 73.4 and standard deviation o = 8.2, use the Z scores and Z areas table to find the following: If 1 student is randomly selected, find the probability that the student scored an A (90 or above) on the exam. 18 (A) 0.9783 (B) 0.9673 (C) 0.0864 (D) 0.0217 X scor H= 73.4 O = 8.2 Z scal z = 0 If 1 student is randomly selected, find the probability that the student scored an F (59 or below) on the exam. 19 (A) 0.9608 (B) 0.0392 (C) 0.6380 (D) 0.7642 If a sample of 25 students are randomly selected, find the probability that the mean of their test scores was 75 or below. 20 (A) 0.9306 (B) 0.8298 (C) 0.8340 (D) 0.7506
MATLAB: An Introduction with Applications
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Transcribed Image Text:**Using the Standard Normal Distribution Z Scores**
The final exam scores for History 101 at the University of Oklahoma are normally distributed with a mean (μ) = 73.4 and standard deviation (σ) = 8.2. Use the Z scores and the Z areas table for the following problems:
18. **If 1 student is randomly selected, find the probability that the student scored an A (90 or above) on the exam.**
- (A) 0.9783
- (B) 0.9673
- (C) 0.0864 *(Correct Answer)*
- (D) 0.0217
19. **If 1 student is randomly selected, find the probability that the student scored an F (59 or below) on the exam.**
- (A) 0.9608
- (B) 0.0392
- (C) 0.6380
- (D) 0.7642
20. **If a sample of 25 students are randomly selected, find the probability that the mean of their test scores was 75 or below.**
- (A) 0.9306
- (B) 0.8298
- (C) 0.8340 *(Correct Answer)*
- (D) 0.7506
**Explanation of the Graph:**
The graph shown is a standard bell curve representing the normal distribution of the test scores. The horizontal axis represents X scores, and the vertical axis does not have specific values but indicates frequency.
- The mean (μ = 73.4) is the center of the distribution.
- The standard deviation (σ = 8.2) shows how spread out the scores are from the mean.
- The Z scale is marked at z = 0 at the mean, indicating the standard score.
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