9. The monthly income of 5,000 workers at the Microsoft plant are distributed normally. Suppose themean monthly income is $1,250 and the standard deviation is $250.l-ers eorn less +1 m-.montho.d) 97.7% of workers earn less than how muchpermonth?neethelp with

P(X<a)=0.977 a=? Mean=μ=1250, standard deviations σ=250

Answered: 9. The monthly income of 5,000 workers…

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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The graph illustrates the distribution of test scores taken by College Aigebra students. The maximum possible score on the test was 140, while the mean score was 76 and the standard deviation was 14. 34 48 62 76 90 104 Distribution of Test Scores What is the approximate percentage of students who scored between 76 and 90 on the test? What is the approximate percentage of students who scored higher than 104 on the test? What is the appraximate percentage of students who scored higher than 118 on the test? What is the approximate percentage of students who scored between 48 and 104 on the test?
Suppose a population is known to be normally distributed with a mean, μ, equal to 144 and a standard deviation, σ, equal to 27. Approximately what percent of the population would be between 90 and 198?
This list of test scores has a mean of 50. Estimate whether the standard deviation is closest to 0, 1, 2 or 10. (This problem requires NO arithmetic - instead, I'm looking at your intuition about standard deviation) 12, 25, 14, 17, 12, 13, 12 (a) 0 (b) 1 (c) 2 (d) 10
Which of the following is True about the Z-score of an observation? A. The Z-score of an observation is defined as the number of standard deviations from the mean. B. If the observation is twice as large as the mean, its Z-score is 1. C. The Z-score of an observation is a number between 0 and 1. D. If the observation is right at the mean, its Z-score is 1.
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
B Choosing a topic Sk.. For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula 1 where p is the minimum percentage of scores that fall within k k2 is p = 1 - standard deviations on both sides of the mean. Use this formula to answer the following questions. a) If you have scores and you don't know if they are normally distributed, find the minimum percentage of scores that fall within 2.2 standard deviations on both sides of the mean? b) If you have scores that are normally distributed, find the percentage of scores that fall within 2.2 standard deviations on both sides of the mean? c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 64 percent of the scores? Note: To answer part c you will need to solve the equation for k.
C. Atlantic Video is planning to add the new Marvel movie to their collection, and they predict that this will double their demand (i.e. new arrival rate is 60 customers every hour) and halve the standard deviation of the inter-arrival times. However, they want to keep the average waiting time of customers in line the same as before. Assume that the coefficient of variation for the check-out times does not change. Please answer the following questions. 1) Does the employee need to work twice as fast? If not, calculate the new service rate. 2) What is the average number of customers in the store?

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9. The monthly income of 5,000 workers at the Microsoft plant are distributed normally. Suppose the mean monthly income is $1,250 and the standard deviation is $250. . ... 1-ers aorn less +1 - month?. A... d) 97.7% of workers earn less than how much per month? neethelp wit