Consider that X1, X2 X3, X4, X5 is an independent random sample where X, follows a normal distribution with a mean of19 and a variance of 3.2, and Yı, Y2 Y3, Y4, Y5, Y6, Y7 is an independent random sample where Y;follows a normaldistribution mean 27 and variance 4.1. Imagine we are interested in the sum of the two sample averages X + Y.a) What is the mean and variance of X + Y? Show your work.b) We know that the linear combination of normal random variables has a normal distribution. Using part a, what is theprobability the sum of the two samples averages is less than 44?

Solution: Given information: Xi~N(μx=3.2, σx2=3.2) i= 1,2,..,5n1=5 Sample size of XYi~N(μy=…

Answered: Consider that X1, X2 X3, X4, X5 is an…

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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8. What term requires the variance of a person’s scores at time 1, time 2, and time 3 be equal? Sphericity Multicollinearity Greenhouse-Geisser
-Please do on excel and write the excel fomula for each answer you give. I cannot figure this question out. A business school has a goal that the average number of years of work experience of its MBA applicants is more than three years. Historical data suggest that the variance has been constant at around six months, and thus, the population variance can be assumed to be known. Based on last year’s applicants, it was found that among a sample of 47, the average number of years of work experience is 3.1. Can the school state emphatically that it is meeting its goal? Formulate the appropriate hypothesis test and con-duct the test.
1. 2. 4. 1. 2. The distribution of a sample of 100 test scores is mound-shaped and symmetrical, with a mean of 50 and a variance of 144. 3. a) b) c) 4. d) 3. a) a) A sample of 200 people were given a test. The distribution of the test scores was mound- shaped and symmetrical with a mean of 100. One person, whose test score was 125, was found to be at the 84th percentile. b) d) Answers: b) Approximately how many scores are equal to or greater than 74? What score corresponds to the 75th percentile? If the lowest and highest scores in this sample are 14 and 89, respectively, what is the range of the scores in standard deviation units? b) Assume that the 100 test scores still have a mean of 50 and a variance of 144, but now have a strongly negatively skewed distribution. At least how many of the scores fall between 32 and 68 in this distribution? What is the Z-score of a person whose test score is 70? Approximately how many people obtained scores greater than 135? Approximately how many…
2. Let X - tp. Verify the mean and variance formulas. (Hint: Let X = p/2UV-1/2.)
Explain what would happen to the F ratio of this analysis of variance if 2 points were added to each score in Finals only group? (Note: The new scores would be 2, 4, 2, and 4 with T = 12 and SS = 4.)
I need help solving part a and b of the following question attached.
There are two samples. Sample 1 has n=10 and a sample variance of 4. Sample 2 has n=8 and a sample variance of 9. Calculate the standard error of the difference between the two sample means (to 2 decimal points). Assume that the variances in the two populations that produced the samples are equal.
Find the variance of the data
suppose that we have disjoint normal populations A and B and we want to find the standard error estimate for estimating the difference in their means. We have an IRS from A of size 8 with variance 25 and an IRS from B of size 9 with variance 16. What is the resulting standard error estimate if we assume both populations have the same population variance?
The random variable Z has mean 30 and variance 225. Calculate the limits between which you would expect the bulk of observations to lie for the random variable Z/3 − 7.
Suppose the average height of all humans is normally distributed with a mean of 72 inches and a variance of 18 inches. Use this information to answer the following three questions. 1. Determine P(75<x<84). 2. Determine P(x>80). 3. Determine P(x < 65).

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