Problem #2: IQs are known to be normally distributed with mean 100 and standard deviation 15.(a) What percentage of people have an IQ lower than 90?(b) Fill in the blank. 75% of the population have an IQ that is greater than?Problem #2(a):Problem #2(b):NOTE: Do not use the first half of the normal table (i.e., page 742 in the textbook,with negative z-values) because it will not be provided with the tests.Enter your answer as a percentage, correct to 2 decimals,without the % sign. e.g., 28.31answer correct to 2 decimals

Given data Normal distribution μ = 100σ = 15

Answered: Problem #2: IQs are known to be…

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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If a standard deviation is 1.4 away from a mean of 7.2 what is the z score of an x value of 10
Given the mean and standard deviation of data set Y as 20 and 5, how can I find the mean and standard deviation of Y + 6? Question refers to chapter 16 problem 25 of Stats, Modeling the World, AP Edition, part B. Thanks so much!!
Suppose that the average height of men in the United States is approximately normallydistributed with a mean of approximately 70 inches and a standard deviation ofapproximately 4 inches. (d) What height is at the 20th percentile? (e) What height is at the 80th percentile? (f) What fraction of men’s heights are between the heights you found in (d) and (e)?
Question 1
What is the z-score of x = 75, if it is 2.8 standard deviations to the left of the mean? Answer to the nearest tenth.
4. A very large population has a mean of 180 and a standard deviation of 24. One day a sample of 64 observations is taken. On another day a sample of 100 observations is taken. Which of the following is true? The standard error of the mean will be smaller with 64 observations. It is impossible to determine any of the above given the available information. The standard error of the mean will be larger with 64 observations. The standard error of the mean will be the same with either 64 or 100 observations.
15. (Topic 15) A sample of size 20 from the 2020 Marble League has a total point mean of 125 and standard deviation of 34. Determine the test statistic for the claim that the total point mean from the whole Marble League is greater than 130 points. (a) Write out all of the variables you know in this problem. (b) Find the test statistic related to this problem. Did you find this value using Minitab, by formula or other software?
Suppose you are working with a data set that is normally distributed, with a mean of 250 and a standard deviation of 46. Determine the value of x from the following information. (a) 70% of the values are greater than x. (b) x is less than 16% of the values. (c) 22% of the values are less than x. (d) x is greater than 55% of the values.
ou should complete the table as part of the procedure of finding the variance and standard deviation. Xi (Xi-(mu)) | (Xi-(mu)) | 49 53 60 60 62 63 64 69 73 87 [Note, this is the same set of data points used in problem 6. How does this compare to the standard deviation computed in problem 6? Why might this be smaller?]
QUESTION 6 For the major airlines, 21% of all flights depart at least 15 minutes late with a standard deviation of 5%. Currently, 24% of all American Airlines flights depart at least 15 minutes late. If American wants to be in the top 10% of all major airlines with the FEWEST late departures, to what level must American cut its late departures? (please round your answer to 1 decimal place) Please incorporate Excell or graphing calculator functions in your answer.
The distribution of IQ scores for high school graduates is normally distributed with mean 300 and standard deviation 70. (i) What is the 90th percentile of this distribution of the IQ scores?
6. A comparison of life expectancy in random samples of 40 less-developed countries and 31 industrialized countries reveals the following (fictional) data. The standard deviations are significantly different from one another. Is there a significant difference in mean life expectancy between countries with these two levels of economic development? X=life expectancy of the resident at birth. Less-Developed Countries Mean=66.1 years N=40 Standard error of the difference between means=.60 Industrialized Countries Mean=76.7 years N=31

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