The distribution of the number of words in text messages between employees at a large company is skewedright with a mean of 8.6 words and a standard deviation of 4.3 words. If a random sample of 39 messages isselected, what is the probability the sample mean is more than 10 words?0.02100.24540.3724O 0.9790

Answered: Image /qna-images/answer/2a247923-8108-48f2-9866-12cccdcfcd1d.jpg

Answered: The distribution of the number of words…

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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A report claimed that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assuming the variable is normally distributed and the standard deviation is 3 hours. If 40 children between the ages of 2 and 5 are randomly selected, find the probability that the mean of the number of hours they watch television will be greater than 26.3 hours.
The amount of money that college students spend on food each week during the academic year is normally distributed with a mean of $31.28 and a standard deviation of $11.42 What is the probability that one randomly selected student will spend less than $25 per week on food? If you randomly select 10 students, what is the probability that their mean will be less than $25?
A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 7.1 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 6.1, 8.1, 9.1, 10.1, 7.1, 11.1, and 12.1 pounds. What is the sample standard deviation?
The height of Christmas trees are normally distributed. The standard deviation of Christmas trees is 200 inches and the mean height is 1400 inches. What is the probability that a randomly selected Christmas tree is between 1100 and 1438 inches?
In a population of normally distributed data, the mean is 68 and the standard deviation is 12.75. You take a random sample of 25 items from that population. What is the probability that the sample mean will be between 70 and 75?
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.
A market researcher analyzes how many cases of bottled water a customer buys at a grocery store. The distribution has a mean of 3.0 and standard deviation of 0.7. Assuming a random sample of 400 customers, what is the probability that the total cases of bottled water purchased is less than 1,186?
University students' blood pressure can be expected to follow a normal distribution with a mean of 85 mmHG and a standard deviation of 20 mmHG.If a university student is chosen at random, what is the probability that the blood pressure will range from 85 to 90 mmHG?
3. A study of the amount of time it takes to rebuild the transmission for a 2005 Chevy Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. Find the probability that their mean rebuild time exceeds 8.7 hours
The heights of women in the United States are normally distributed with a mean of 63.7 inches and a standard deviation of 2.7 inches. If you randomly select a woman in the United States, what is the probability that she will be between 65 and 67 inches tall?
Among all monthly bills from a certain credit card company, the mean amount billed was $465 and the standard deviation was $300. In addition, for 15% of the bills, the amount billed was greater than $1000. A sample of 850 bills is drawn. What is the probability that more than 150 of the sampled bills are for amounts greater than $1000? Probability =
According to a study of TV viewing habits, the average number of hours an American over the age of 2 watches TV per week is 44. The population standard deviation is 16 hours. If a sample of 64 Americans over the age of 2 are randomly selected, what is the standard error of the mean?

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