Sub parts 4 and 5 only to be answered Az-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units. The z-score is positive if the value lies above the mean, and negative if it lies below the mean.It is also known as a standard score, because it allows comparisonscores on different kindsvariables by standardizing the distribution.To further understand the application of z - score for any normally distributed data, answer the following problems.1. Rodrigo earned a score of 940 on a national achievement test. The mean test score was 850 with a standard deviation of 100. What proportion of students had a higher score than Rodrigo? (Assume that test scores are normally distributed.) If there were 100,000 students who took the test,how many would be expected to have a higher score than Rodrigo?2. The following letter appeared in the popular "Dear Abby" newspaper advice column in the 1970s:Dear Abby: You wrote in your column that a woman is pregnant for 266 days. Who said so? I carried my baby for ten months and five days, and there is no doubt about it because I know the exact date my baby was conceived. My husband is in the Navy and it couldn't have possibly beenconceived any other time because I saw him only once for an hour, and I didn't see him again until the day before the baby was born. 203 I don't drink or run around, and there is no way this baby isn't his, so please print a retraction about the 266-day carrying time because otherwise I am in a lotof trouble.San Diego ReaderThe advice column was founded in 1956 by Pauline Phillips under the pen name "Abigail Van Buren" and caried on up to today by her daughter, Jeanne Phillips, who now owns the legal rights to the pseudonym. Suppose that according to pediatricians, pregnancy durations, let's call them X,tend to be normally distributed with m= 266 days and s = 16 days. Perform a probability calculation that addresses San Diego Reader's credibility, presuming she was pregnant for 308 days. What would you conclude and why?3. Why are z- scores important?4. How do you interpret a z - score?5. How to calculate a raw score when a z - score is known?

Introduction: For a random variable, X with mean m, and standard deviation s, the z-score…

Answered: 4. How do you interpret a z - score? 5.…

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4. How do you interpret a z - score? 5. How to calculate a raw score when a z- score is known?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Sub parts 4 and 5 only to be answered

Az-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units. The z-score is positive if the value lies above the mean, and negative if it lies below the mean.
It is also known as a standard score, because it allows comparison
scores on different kinds
variables by standardizing the distribution.
To further understand the application of z - score for any normally distributed data, answer the following problems.
1. Rodrigo earned a score of 940 on a national achievement test. The mean test score was 850 with a standard deviation of 100. What proportion of students had a higher score than Rodrigo? (Assume that test scores are normally distributed.) If there were 100,000 students who took the test,
how many would be expected to have a higher score than Rodrigo?
2. The following letter appeared in the popular "Dear Abby" newspaper advice column in the 1970s:
Dear Abby: You wrote in your column that a woman is pregnant for 266 days. Who said so? I carried my baby for ten months and five days, and there is no doubt about it because I know the exact date my baby was conceived. My husband is in the Navy and it couldn't have possibly been
conceived any other time because I saw him only once for an hour, and I didn't see him again until the day before the baby was born. 203 I don't drink or run around, and there is no way this baby isn't his, so please print a retraction about the 266-day carrying time because otherwise I am in a lot
of trouble.
San Diego Reader
The advice column was founded in 1956 by Pauline Phillips under the pen name "Abigail Van Buren" and caried on up to today by her daughter, Jeanne Phillips, who now owns the legal rights to the pseudonym. Suppose that according to pediatricians, pregnancy durations, let's call them X,
tend to be normally distributed with m= 266 days and s = 16 days. Perform a probability calculation that addresses San Diego Reader's credibility, presuming she was pregnant for 308 days. What would you conclude and why?
3. Why are z- scores important?
4. How do you interpret a z - score?
5. How to calculate a raw score when a z - score is known?

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