7) Suppose that the iQ scores of students at a certain college follow a normal distribution with mean 115 andstandard deviation 12. If a sample of 100 students are selected, solve for the followinga) What is the probability that the sample mean of is less than 1007b) What is the probability that the sample mean of is more than 150?) What is the probability that the sample mean of is between 120 and 2007

Answered: Image /qna-images/answer/947b1653-9333-4bc0-9b5d-7e6368dd1835.jpg

Answered: 7) Suppose that the IQ scores of…

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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4. The time required for all cross-country skiers to complete a race has a normal distribution with a mean of 46 minutes and a standard deviation of 6 minutes. You choose a random sample of six skiers, and the mean of the sample is denoted i. What are the mean and standard deviation of ?
2. The number of pages in a PDF document you create has is randomly distributed between 5 and 9 pages, where all values are equally likely. What are the mean and standard deviation of the number of pages in the document2
2. The mean IQ of a sample of 1600 children was 99. Is it likely that this was a random sample from a population with mean IQ 100 and standard deviation 15?
In 1995, the median price of a PC was $1200. Suppose that a random sample of100 persons who bought their PCs during that year recorded the amount spent (byeach of them) on his/her PC. State the approximate sampling distribution of ˆp, theproportion of persons who spent more than $1200 on a PC. Find the probabilitythat more than 60% of this group spent more than $1200. NOTE: Please explain each part, so the problem can be used as a Study Guide
3a) The mean IQ of 200 patients in a psychiatric hospital is 91, with a variance of 16, and the distribution is highly negatively skewed. Between what two IQ scores would we expect to find at least 160 of the patients falling? b) If the distribution was mound-shaped and symmetrical, with the same mean and standard deviation as in part A, approximately how many patients would have IQ scores at or below the 5th percentile or above a score of 97? Answers: a) 82 to 100 b) 28.5 or 29
38)
e) Suppose that weekly household expenditures on petrol are normally distributed, with a mean of $120 and a standard deviation of $50. i. A family is randomly selected. Find the probability that this family spends more than $245 per week on petrol? A 2.5 B 0.0062 C 0.9938 D 0.0202 ii. The government wants to promote public transport and will award a prize to the families who spend the lowest amount on petrol. If the government only wants to give a prize to 10% of households, what is the most that a family is allowed to spend on petrol each week to obtain the prize? A $56 B $184 C $3.50 D $217.60 In a sample of 25 families, what is the probability that the average weekly expenditure on petrol will be less than $105? ii. A 0.0668 B 0.9332 C 0.3821 D 0.6179
Reebok is analyzing all the data from different stores across the globe to shut down the stores which are not having profit.After a lot of analysis, the mean and standard deviations were found. What is the percentage of distribution which is expected within two standard deviations from the mean to each side? Choose : A) 68% B) 65% C) 99.7% D) it depends on how big the sample size is.
Given a set of normally distributed scores with the mean of 20.00 and SD of 5.00, what proportion of scores are a) between 10 and 28 b) between 15 and 32
5. You have a sample with a mean of 46 and a standard deviation of 8. What is the probability of randomly selecting: a) a score above 64? b) a score between 40 and 50? c) a score below 32? 6. You have a sample with a mean of 51 and standard deviation of 12. What is the probability of obtaining a raw score a) below 46? b) below 46 or above 56? 7. Jake needs to score in the top 10% of his class to earn a physical fitness certificate. The class mean is 83, and the standard deviation is 3.2. What raw score does he need to get the certificate?
1. Assume that IQ are normally distributed with a mean of 100 and standard deviation of 15. For a sample of 25 adults, find the probability that their mean IQ score will be greater than 90?

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