Assume a standardized IQ test exists that possesses a normal distribution and has a mean scoreof 100 with a standard deviation of 10. Answer the following questions:1. What is the z score for an IQ score of 95 (use the provided z-score table on pg.4)?You will now need to use Table A2 in your text to answer the following questions: What is theprobability of selecting someone from the general population at random who would:2. Score between 95 and 100? The following is a list of z-scores for two different IQ tests. The table on the LEFT is for an IQtest with a mean score of 100 and a Standard Deviation (SD) of 10. The table on the RIGHTis for an IQ test with a mean score of 100 and a SD of 5.IQ Scorez-Score75 -2.576 -2.477 -2.378 -2.279 -2.180 -2.081 -1.982 -1.883 -1.784 -1.685-1.586 -1.487-1.388 -1.289-1.190 -1.091 -0.992 -0.893 -0.794 -0.695 -0.596 -0.497-0.398 -0.299 -0.1100 0101 0.1102 0.2103 0.3104 0.4105 0.5106 0.6107 0.7108 0.8109 0.9110 1.0111 1.1112113 1.3114 1.4115 1.5IQ Score75767778798081828384858687888990919293949596979899100101102103104105106107108109110111113114115z-Score-5.0-4.8-4.6-4.4-4.2-4.0-3.8-3.6-3.4-3.2-3.0-2.8-2.6-2.4-2.2-2.0-1.8-1.6-1.4-1.2-1.0-0.8-0.6-0.4-0.200.20.40.60.81.01.21.41.61.82.02.22.42.6№2.83.0

Answer:- Given, Assume a standardized IQ test exists that possesses a normal distribution and has a…

Answered: Assume a standardized IQ test exists…

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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For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 39 beats per minute, the mean of the listed pulse rates isx= 78.0 beats per minute, and their standard deviation is s = 20.7 beats per minute. a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 39 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between - 2 and 2 to be neither significantly low nor significantly high, significant? the pulse rate of 39 beats per minute a. The difference is beats per minute. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z = (Round to two decimal places as needed.) d. The lowest pulse rate is
A standardized memory test has a mean of u = 10p and a standard deviation of ó = 10. Answer the following questions: A. What proportion of people would score below 88 on the memory test? B. What is the percentile rank for someone who scored a 116 on the memory test? C. What are the scores that separate the middle 30% (15% each side of the mean) D. What percent of individuals would score between 86 and 109?
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 242 feet and a standard deviation of 46 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = ____% b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? P(more than 234 feet) = ______%
Use z scores to compare the given values. The tallest living man at one time had a height of 256cm. The shortest living man at that time had a height of 114.6 cm. Heights of men at that time had a mean of 174.87 cm and a standard deviation of 7.57 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z=____ and the z score for the shortest man is z=_____, the (Shortest/tallest) man had the height that was more extreme. (Round to two decimal places.)
If the mean speed for a major league fast ball is 90 miles per hour and the standard deviation is 5 miles per hour, what would the standardized score be for a pitch that is 97 miles per hour? O 0.4 4.0 1.4 O 1.0
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?
1. higher or lower 2. Slower or faster
Use z scores to compare the given values. The tallest living man at one time had a height of 245 cm. The shortest living man at that time had a height of 99.7 cm. Heights of men at that time had a mean of 176.42 cm and a standard deviation of 6.25 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z=_____ and the z score for the shortest man is z=_____, the ▼ (tallest, OR shortest ) man had the height that was more extreme. (Round to two decimal places.)
For a data set of the pulse rates for a sample of adultfemales, the lowest pulse rate is 33 beats per minute, the mean of the listed pulse rates is x=71.0 beats per minute, and their standard deviation is s=23.1 beats per minute. a. What is the difference between the pulse rate of 33 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 33 beats per minute to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 33 beats per minute significant?
The results from a statistics class’ first test are as follows: The average grade obtained on the test by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: a. Approximately how many people received a failing grade (less than 65) b. What percentage of people received a grade between a 70 and a 91? c. What percentage of individuals received a score whose z-score was -.70 or less? d. What grade is required in order to be in the top 15 percent? The top 10 percent? e. What percentage of people received a grade between 85 and 95? f. What percentage of people received a grade of 94 or less? g. What grade is required to be in the bottom 20%? h. What z-score is required to be in the top 40%? i. What percentage of individuals have a z-score between -1 and 1.40? j. What percentage of individuals have a z-score between 1.05 and 1.40?

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