**Transcription: Educational Website Content**---**14. Statistical Analysis of Standardized Test Scores**The scores on a standardized mathematics test for 8th-grade children in New York State form a normal distribution with:- Mean (\( \mu \)) = 70- Standard deviation (\( \sigma \)) = 10Questions:**a.** What proportion of the students in the state have scores less than \( X = 75 \)?**b.** If samples of \( n = 4 \) are selected from the population, what proportion of the samples will have means less than \( M = 75 \)?**c.** If samples of \( n = 25 \) are selected from the population, what proportion of the samples will have means less than \( M = 75 \)?---Each of these questions involves understanding the concept of the normal distribution and applying the standard normal distribution (z-scores) to find the relevant probabilities.

Answered: Image /qna-images/answer/bf286764-51c5-4605-869f-f1236e067ed5.jpg

Answered: 14. The scores on a standardized…

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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12.A sample of n = 16 scores has a mean of M = 65 and an estimated standard error of 2 points. What is the sample variance? s2 = 64 c. s2 = 16 а. b. s2 = 36 d.s? = 4
A sample of n = 10 has s = 3. What are the correct values for S.S. and s2? SS=44;sampleS.D.=3 SS = 81; sample variance = 9 SS = 30; sample variance = 4 SS=27;sampleS.D.=2
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4. The variance of a data set is 3410.56. Find the standard deviation for the data set. This ample of
Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
3. Class problems for Chapter 2: 1) Suppose students' grades in statistics class have a symmetrical and bell-shaped distribution with a mean equal to 77 and a standard deviation of 6. Answer the following questions: a. What is the percentage of grades that are less than 83? b. What is the percentage of grades that are greater than 65 and 89? c. What is the z-score for grade = 70? d. What percentage of grades have a z-score of greater than 1?
14.
3. The average height of a male student in the EDA class of Engr. Ventura in PLM has historically been 1.625 meters with a standard deviation of 0.07 meter. Is there a reason to believe that there has been a change in the average height of male EDA students under Engr. Ventura if a random sample of 50 males in the present EDA class has an average height of 1.652 meters? Assume the standard deviation remains the same.
2) A psychology teacher decided to fail 12% of her class of 40 students. The exam results of the class were roughly normally distributed with a mean of 74 and a standard deviation of 7. A. What score must a student get in order to pass? B. How many students would get a score between 77 and 85?
Pavan.88.9
42. The speeds of vehicles on a certain part of a highway are normally distributed with a mean of 60 mph and a standard deviation of 6 mph. Use the Empirical Rule to answer the following questions. a. Approximately what percentage of vehicles travel at a speed between 54 mph and 66 mph? b. Approximately what percentage of vehicles travel at a speed greater than 72 mph? c. Approximately what percentage of vehicles travel at a speed not greater than 78 mph?

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