One survey has been done on the Intelligent Quotients (IQ) assessmentamong all university students, where the population are normally distributedwith a mean of 100 and a standard deviation of 15. Another study wants tocarry out the same survey that has a sample of 40 students from universityA. Compute the probability that the mean IQ of the sample isi.Greater than 105 and less than 107.ii.Not more than 109.

Given data isMean(μ)=100standard deviation(σ)=15sample size(n)=40

Answered: One survey has been done on the…

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 results of a common standardized test used in psychology research is designed so that the population mean is 175 and the standard deviation is 10. A subject earns a score of 183. What is the z-score for this raw score?
A student scored 66 on a general science test where the class mean and standard deviation were 82 and 8, respectively; he also scored 53 on a psychology test where the class mean and standard deviation were 58 and 3, respectively. In which class was his relative position higher?
The mean weight of all Goliath grouper caught on the Treasure coast is 377 pounds, with a standard deviation of 72 pounds. Suppose a random sample of 37 Goliath Grouper from the Treasure Coast are caught and weighed. Determine the probability that the average weight of the sample of 37 Goliath Grouper is within 31 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution four decimal places, if necessary.
A large number of applicants for admission to graduate study in business are given an aptitude test. Scores are normally distributed with a mean of 460 and standard deviation of 80. What fraction of the applicants would you expect to have a score of 350 or above?
Find the mean and standard deviation of the number of red-headed Scots in a randomly selected group of 155. The probability of having red hair is still 13% for Scottish people. a. Mean = b. Standard deviation (Round to 2 places)=
JA researcher takes an SRS of 80 people who go golfing.The average to be u52 years old. It was also determined that the standard deviation of cac ot golfers was la What is the probability that the sample mean is kss. than 47 years old? age of all golferswas determined years.
All California 5th graders take a standardized test. The mean for the population of 5th graders is 68.9 and the standard deviation for the population is 10. What is the probability of randomly selecting a student who scored a. ≥ 85? b. less than or equal to 85? c. between 80 & 85? d. between 60 & 85?
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 board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed. Round to the nearest whole number.
Assume that adults have IQ scores that are normally distributed with a mean of95.4 and a standard deviation of 16.6. Find the probability that a randomly selected adult has an IQ greater than 118.1 The probability that a randomly selected adult from this group has an IQ greater than 118.1 is what?
Suppose that the average number of Facebook friends users have is normally distributed with a mean of 112 and a standard deviation of about 48. Assume forty-six individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. 1. the group of 46, find the probability that the average number of friends is more than 123. 2. Find the first quartile for the average number of Facebook friends.
4. A college instructor gave identical tests to two randomly sampled groups of 50 students. One group took the test on paper and the other took it online. Those who took the test on paper had an average score of 75.0 with a standard deviation of 12.5. those who took the test online had an average score of 78.0 with a standard deviation of 14.0. can you conclude that the mean scores differ between online and paper tests?

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