QUESTION 3 In normally distributed random variables, any value above or below two standard deviations from mean is unusual. You are given following scores from normal distributions: (i) a score of 85 from a distribution with mean 77 and standard deviation 5 (ii) a score of 50 from a distribution with mean 70 and standard deviation 8 Which of the following is correct about two scores? O a. The score 85 unusually high and score 50 is unusually low. ObThe score 85 not unusual and score 50 is unusually low. O c. Both scores are not unusual. O d. The score 85 unusually high and score 50 is not unusual.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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### Question 3

In normally distributed random variables, any value above or below two standard deviations from the mean is unusual. You are given the following scores from normal distributions:

(i) A score of 85 from a distribution with a mean of 77 and a standard deviation of 5   
(ii) A score of 50 from a distribution with a mean of 70 and a standard deviation of 8

Which of the following is correct about the two scores?

- a. The score 85 is unusually high and the score 50 is unusually low.
- b. The score 85 is not unusual and the score 50 is unusually low.
- c. Both scores are not unusual.
- d. The score 85 is unusually high and the score 50 is not unusual.

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### Question 4

Samantha is taking Statistics and Psychology classes during the summer session. She received a score of 85 on her Statistics test and a score of 72 on her Psychology test for which the class mean was 60 with standard deviation 5. On which test did she do better?

- a. Statistics test
- b. Psychology test
- c. The same

The correct answer for Question 4 is highlighted in blue.
Transcribed Image Text:### Question Completion Status: C --- ### Question 3 In normally distributed random variables, any value above or below two standard deviations from the mean is unusual. You are given the following scores from normal distributions: (i) A score of 85 from a distribution with a mean of 77 and a standard deviation of 5 (ii) A score of 50 from a distribution with a mean of 70 and a standard deviation of 8 Which of the following is correct about the two scores? - a. The score 85 is unusually high and the score 50 is unusually low. - b. The score 85 is not unusual and the score 50 is unusually low. - c. Both scores are not unusual. - d. The score 85 is unusually high and the score 50 is not unusual. --- ### Question 4 Samantha is taking Statistics and Psychology classes during the summer session. She received a score of 85 on her Statistics test and a score of 72 on her Psychology test for which the class mean was 60 with standard deviation 5. On which test did she do better? - a. Statistics test - b. Psychology test - c. The same The correct answer for Question 4 is highlighted in blue.
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