3. Suppose you are studying home prices, and you take a sample with a mean price of $300,000 and astandard deviation of $50,000. Suppose this data set is normally distributed.(a) Find the z-score of a home in this sample that sells for $420,000.(b) Find the z-score of a home in this sample that sells for $230,000.(c) What percentage of houses should sell at between $200,000 and $400,000?(d) According to Chebyshev's Rule, what is the minimum percentage of houses that should sell atbetween $150,000 and $450,000?

Given that. X~N( μ , ?) μ=300000 , ?=50000 Z-score =( x - μ )/? NOTE:- According to…

Answered: standard deviation of $50,000. Suppose…

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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One of the z-score formulas will help on this question. Scores on the SAT test are normally distributed with a mean of 500 and standard deviation of 100 points. Pretend someone scored 400 on the math portion of the SAT test. What would be the z-score cut off for this score? A. 1.0 B. -1.0 C. 0 D. 2.0
A population is normally distributed with mean 18.6 and standard deviation 1.4. (a) Find the intervals representing one, two, and three standard deviations of the mean. one standard deviation (smaller value) (larger value) two standard deviations (smaller value) (larger value) three standard deviations (smaller value) (larger value) (b) What percent of the data lies in each of the intervals in part (a)? (Round your answers to two decimal places.) one standard deviation % two standard deviations % three standard deviations %
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 80 and the standard deviation was 13. + + + 41 54 67 80 93 106 119 Distribution of Test Scores What is the approximate percentage of students who scored between 54 and 106 on the test? What is the approximate percentage students who scored between 67 and 93 on the test? % What is the approximate percentage of students who scored between 80 and 93 on the test? %
Your Turn: Standardized Scores Scores on the final exam in Ms. Meyer's statistics class follow a normal distribution, with a mean of 82 and a standard deviation of 5. 1. Ron, who took Ms Meyer's class, scored 88 on the final. Ron's z-score is Click to view hint 2. This means that Ron's final score is Click to view hint 3. Dan also took Ms. Meyer's class, and the z-score of his final is -2.4. This means that Dan's score is: Click to view hint 4. Dan's actual score on the final is Click to view hint 5. Julie was assigned to take her statistics class with Mr. Fisher, whose final scores followed normal distribution with mean 75 and standard deviation of 6. Her score on the final was 84. Which of the two scores, Ron's or Julie's, is more impressive? Click to view hìnt Check
Suppose in 2000, the science scores for female students had a mean of 146 with a standard deviation of 35. Assume that these scores are normally distributed with the given mean and standard deviation. _________________ of the female students scored between 76 and 216
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A population is normally distributed with mean 16.3 and standard deviation 1.4. (a) Find the intervals representing one, two, and three standard deviations of the mean. one standard deviation (smaller value) (larger value) two standard deviations (smaller value) (larger value) three standard deviations (smaller value) (larger value) (b) What percent of the data lies in each of the intervals in part (a)? (Round your answers to two decimal places.) one standard deviation % two standard deviations % three standard deviations %

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standard deviation of $50,000. Suppose this data set is normally distributed. (a) Find the z-score of a home in this sample that sells for $420,000. (b) Find the z-score of a home in this sample that sells for $230,000. (e) What percentage of houses should sell at between $200,000 and $400,0001