The average score of employees on a mentalexamination is 120. Suppose that nothing isknown about the shape of the distribution and thatthe standard deviation is 30. If arandom sample of 90 scores were selected and thesample mean were calculated to be 110,what is the probability that the mean of the sampleis greater than 110? Show the complete solution.

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Answered: The average score of employees on a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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 sample of n=11 scores has a mean of M=9. If one new person with a score of X=4 is added to the sample, what will be the value of the new mean?
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Megah corporation gives each of its employees an aptitude test. The scores on test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken. What are the mean and standard deviation values for the sample taken? What is the probability that the average aptitude test score in the sample will be between 70 to 83 marks? What is the probability that the average aptitude test score in the sample will be equal or greater than 83 marks? Find the value of C, if P (Z ≥ C) = 0.015
The average score of employees on a mental examination is 120. Suppose that nothing is known about the shape of the distribution and that the standard deviation is 30. If a random sample of 90 scores were selected and the sample mean were calculated to be 110, what is the probability that the mean of the sample is greater than 110? Show the complete solution.
A research scientist wishes to test the claim that the mean number of children per classroom in California elementary school is less than 35. She selects a simple random sample of 29 California elementary school classrooms. She know nothing about the distribution of children in classrooms. Can she use the data to test her claim?
A population has a mean of 80 and a standard deviation of 7. A sample of 49 survey will be taken. The probability that the sample mean will be larger than 82 is
A sample of 36 children with low self-esteem is given a standardized test for depression. Find the probability that an average depression score to be more than 97 out of a sample of 36? Graph the distribution and label at least three standard deviation above and below the mean. Shade the distribution according to the question? The mean is 90 and the standard deviation is 12, i'm not sure if I have to work out a new standard deviation?
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?
An Intelligence test score for adults is normally distributed with a mean of 100 and population standard deviation of 15. What is the probability we could select a sample of 64 adults and find that the mean of this sample is between 98 and 103? (answer rounded to 2d.ps)
If a distribution has a mean of 46 and a standard deviation of 1, what value would be -2 standard deviations from the mean?

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