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 nomally distributed,with a mean of 6.3 and a standard deviation of 2.3. Answer parts (a)-(d) below.(a) Find the probability that a randomly selected study participant's response was less than 4.The probability that a randomly selected study participant's response was less than 4 is- (Round to four decimal places as needed.)Help me solve thisView an exampleGet more help-Clear allCheck answer

Answered: In a recent study on world happiness,…

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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Suppose that the scores on a reading ability test are normally distributed with a mean of 60 and a standard deviation of 10. What proportion of individuals score at least 71 points on this test? Round your answer to at least four decimal places.
The length of time it takes to complete a word puzzle is found to be normally distributed with a mean of 81 seconds and a standard deviation of 8 seconds. Using the 50%-34%-14% figures, find the longest time to complete the word puzzle that a person can have while being in the bottom most percentages of scores for each of the following percentages. (a) 16% (c) 2% (d) 98% (b) 84% (e) 50%
Suppose that you are studying the number of vehicles owned by a US household. You find that the average is 1.9 vehicles per household with a standard deviation of 2.8 vehicles per household. What is the most likely shape for the population described above? Find the probability that 40 randomly selected households have an AVERAGE number of vehicles greater than 2.5.
In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 67.7 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (b) Find the probability that a study participant has a height that is between 65 and 71 inches. The probability that the study participant selected at random is between 65 and 71 inches tall is nothing. (Round to four decimal places as needed.)
Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is greater than 8?
The daily sales of a small retail store in tokyo for the last 365 days are normally distributed with a mean of $2050, and a standard deviation of $300. From a sample of 49 days, what is the probability of having a sample mean less than $2000?
According to the U.S. Census Bureau, the mean household income in the United States in 2000 was $57,045 and the median household income was $42,148.The variability of household income is quite large with an overall standard deviation of approximately $25000. Suppose a random sample of 225 households was selected. What is the probability that the sample mean would be above $60,245?
One year, the distribution of salaries for professional sports players had a mean of $1.6 million and a standard deviation of $0.7 million. Suppose a sample of 100 major league players was taken. Find the approximate probability that the average salary of the 100 players that year exceeds $1.1 million.
Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is less than 8?
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
The annual income for a sample of 450 part-time students is normally distributed with a mean income of $31,000 and a standard deviation of $3,000. What is the probability their annual income is $22,000-$28,000?
Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is greater than 8.5?

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