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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Suppose the average amount of money that people spend on their pets per month is 47 dollars, with a standard deviation of 6 dollars. For a sample of 36 people, final the average amount of money spent on pets that defines the bottom 30% in the distribution.For a sample of 36 people, what is the probability for this sample’s mean to be higher than 50 dollars.
A researcher measures the amount of sugar in several cans of the same soda. The mean is 39.01 with a standard deviation of 0.5. The researcher randomly selects a sample of 100. If the researcher wants to find the probability that the sum of the 100 values is greater than 3,910, what is the mean and standard deviation that should be used? mean=??? standard deviation=????
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?
The monthly earnings of computer systems analysts are normally distributed with a mean of $4,300. If the probability that a systems analyst earns a monthly income of more than $6,140 is 0.015, what is the value of the standard deviation of the monthly earnings of the computer systems analysts?
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?
Traveling between EDC campus and Gulshan campus of Iqra university via shuttle bus takes, on average, 28 minutes with a standard deviation of 5 minutes. In a given week, a bus transported passengers 40 times. What is the probability that the average transport time was more than 30 minutes? Assume the mean time is measured to the nearest minute.
A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 5% are defective. Find the P-value for a test to support the manufacturer's claim. Round to four decimal places. O A. 0.6591 O B. 0.1591 OC. 0.3409 O D. 0.1736
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?
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 mean salary offered to students who are graduating from Coastal State University this year is $ 24,215 , with a standard deviation of $ 3678 . A random sample of 85 Coastal State students graduating this year has been selected. What is the probability that the mean salary offer for these 85 students is $ 24,500 or less?
The weight of trucks traveling on a particular section of Highway 2H has a population mean of 15.8 tons and a population standard deviation of 4.2 tons. What is the probability a state highway inspector could select a sample of 51 trucks and find the sample mean to be 14.3 tons or less?

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