Evaluation1. A population has mean 75 and standard deviation 12.a. Random samples of size 121 are taken. Find the mean and standard deviation of samplingdistribution of the means?b. How would the answers to part (a) change if the size of the samples were 400 instead of 121?2. The scores of individual students on a national test have a normal distribution with mean 18.6 andstandard deviation 5.9. At Federico Ramos Rural High School, 76 students took the test. If the scoresat this school have the same distribution as national scores, what are the (a) mean and (b) standarddeviation of the sample mean for 76 students?

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Answered: Evaluation 1. A population has mean 75…

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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10. Find mean deviation and its coefficient using by A.M. and Median. Values 31, 46, 47, 48, 52, 58, 59, 60, 65, 66, 75.
A student scores 74 on a geography test and 264 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 5. The mathematics test has a mean of 300 and a standard deviation of 24. If the data for both tests are normally distributed, on which test did the student score better relative to the other students in each class? OA. The student scored better on the mathematics test. OB. The student scored better on the geography test. OC. The student scored the same on both tests.
a. The standard deviation of 25 scores is 10, the mean is 29, the median is 24 and the mode is 23. What is the coefficient of skewness? Describe the distribution. b. The following are scores of 8 students in Algebra: 89, 88, 77, 84, 83, 92, 91 and 96. Find the coefficient of skewness.
Question # 3
2. The mean of a statistics examination is 77.0. a. If your score is 85, would you prefer the standard deviation to be large or small for purposes of getting a better grade? Why? b. If your score is 69, would you prefer the standard deviation to be large or small? Why?
In the 1992 presidential election, Alaska's 40 election districts averaged 1993 votes per district for President Clinton. The standard deviation was 584. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places. a. What is the distribution of X? X ~ N( b. Is 1993 a population mean or a sample mean? Select an answer v C. Find the probability that a randomly selected district had fewer than 2053 votes for President Clinton. d. Find the probability that a randomly selected district had between 2074 and 2208 votes for President Clinton. e. Find the 95th percentile for votes for President Clinton. Round your answer to the nearest whole number.
Consider the following sample: 1, 4, 7, 2, 6. How does the standard deviation change when the 7 is replaced with a 12? Answer intuitively first, and then check your answers numerically.
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
1. IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. Convert Einstein's IQ score to a z score. a. b. If we consider "usual IQ scores to be those that convert z scores between -2 and 2, is Einstein's IQ usual or unusual? C. The organization MENSA, which calls itself the "high IQ society", requires a score of 130 or higher. What percent of adults would qualify for membership? 2. In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 5.4 and a standard deviation of 2.2. Find the probability that a randomly selected study participant's response was: a. Less than 4 b. Between 4 and 6 c. More than 8 3. The red blood cell count for a population of adult males can be approximated by a normal distribution, with a mean of 5.4 million cells…
1. The position number w(letter) tells us where in the alphabet the given letter is located. For instance: w("b") = 2. Find the mean, median and population standard deviation for the vowel position numbers in the English alphabet.
a. Find the mean, median and mode. b. If the value 15.75 was incorrectly written as 45.75, what measure of central tendency will be affected? Support your answer. c. Compute for the semi-interquartile range,absolute deviation, variance and standard deviation of test.
1. higher or lower 2. Slower or faster

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