NOTE: This problem has many steps. You are asked to enter intermediate values in the process. Theseanswers will require a fixed number of decimal points. However, you MUST ALWAYS REMEMBER that you arenot using the rounded numbers in your future calculations. The only exception to this is that you may use z-scores rounded to three decimal places (of course, you also may use the unrounded version as well).In a certain school district in a large metropolitan area, the SAT scores over that past five years arenormally distributed with a mean of 1466. Furthermore, Q3 is 1668.For a normal distribution, what is the z-score for the 75-th percentile?z =(Enter answer rounded to three decimal places.)Using this information, what is the standard deviation of this population of SAT scores?sigma =(Enter answer rounded to the nearest whole number.)For a normal distribution, what is the z-score for the 98-th percentile?(Enter answer rounded to three decimal places.)Now, use all of the information to determine what the Pgs score is for this population?Pos(Enter answer rounded to the nearest whole number.)

In a certain school district in a large metropolitan area, the SAT scores over that past five years…

Answered: For a normal distribution, what is the…

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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Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 34 and the age of the winner for best actress was 43. For all best actors, the mean age is 42.5 years and the standard deviation is 6.2 years. For all best actresses, the mean age is 31.9 years and the standard deviation is 11.2 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain. Question content area bottom Part 1 Since the z score for the actor is z=enter your response here and the z score for the actress is z=enter your response here, the ▼ actress actor had the more extreme age. (Round to two decimal places.)
A test was designed to have a mean of 80 and a standard deviation of 10. A random sample of 20 students at your school take the test, and the mean score turns out to be 85. Does this score differ significantly from 80? To answer this problem, you may want to use the Normal Distribution Calculator.
The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?
Scores on a recent NYS Standardized Exam were normally distributed with a mean of 77.6 and a standard deviation of 4.3. Find the NYS Standardized Exam score that separates the bottom 2.5% from the rest. Round this score to the nearest tenth
Use z scores to compare the given values. The tallest living man at one time had a height of 228 cm. The shortest living man at that time had a height of 131.9 cm. Heights of men at that time had a mean of 174.11 cm and a standard deviation of 5.72 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z = (Round to two decimal places.) and the z score for the shortest man is z = the man had the height that was more extreme.
This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 28 and the age of the winner for best actress was 44. For all best actors, the mean age is 42.3 years and the standard deviation is 8.4 years. For all best actresses, the mean age is 33.3 years and the standard deviation is 10.7 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain. Since the z score for the actor is z = and the z score for the actress is z=, the had the more extreme age. (Round to two decimal places.)
The mean score on the ACT test was 19.3 and the standard deviation was 5.4. The distributions of scores was approximately bell-shaped. Compute the z-score for an ACT test score of 15. Write only a number as your answer. Round your answer to two decimal places (for example: 3.15).

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