3. Let X and Y be a student's quantitative scores on the SATs and GREs respectively. Supposethat the joint distribution of (X, Y) is well approximated with the bivariate normal distribution.Further, it is known that x = 560, o = 6, 400, µy = 640, o = 3, 136, and p = .68. FindHY(a) P(Y > 700)(b) P(Y > 700|X = 600)

X and Y are students' quantitative scores on the SATs and GREs respectively. Given, the joint…

Answered: 3. Let X and Y be a student's…

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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Suppose x has a normal distribution with mean μ = 50 and standard deviation σ = 11.Describe the distribution of x values for sample size n = 4. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 16. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 100. (Round σx to two decimal places.) μx = σx = How do the x distributions compare for the various samples sizes? The means are the same, but the standard deviations are decreasing with increasing sample size.The means are the same, but the standard deviations are increasing with increasing sample size. The means and standard deviations are the same regardless of sample size.The standard deviations are the same, but the means are decreasing with increasing sample size.The standard deviations are the same, but the means are increasing with increasing sample size.
If one score is randomly selected from a normal distribution with µ = 100 and σ = 20, the probability of obtaining a score between X = 90 and X = 97 is p = 0.1319.
Suppose X is a non-standard normal variable, with a mean of 118, and std deviation of 15 (i.e. X~N(118,15)). You have an observation (z) on a standard normal scale (i.e. Z~N(0,1)). If z = -0.03, what is it on an X scale?
Suppose an x-distribution has mean μ = 4. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81. (a) What is the value of the mean of each of the two x distributions? For n = 49, μ x = For n = 81, μ x = (b) For which x distribution is P( x > 5.00) smaller? Explain your answer. The distribution with n = 81 because the standard deviation will be larger.The distribution with n = 49 because the standard deviation will be smaller. The distribution with n = 49 because the standard deviation will be larger.The distribution with n = 81 because the standard deviation will be smaller. (c) For which x distribution is P(3.00 < x < 5.00) greater? Explain your answer. The distribution with n = 49 because the standard deviation will be larger.The distribution with n = 81 because the standard deviation will be larger. The distribution with n = 49 because the standard deviation…
The score on a standardized test for a certain year is modeled using the normal distribution shown below. The mean of the distribution is 56.7 points and the standard deviation is 4.8 points. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) v 68% 95% 99.7% 40 45 50 55 O 60 65 | 70 75 Test score
Suppose an x distribution has mean μ = 2. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81. (a) What is the value of the mean of each of the two x distributions? For n = 49, μ x = For n = 81, μ x = (b) For which x distribution is P( x > 2.5) smaller? Explain your answer. The distribution with n = 49 because the standard deviation will be smaller.The distribution with n = 81 because the standard deviation will be smaller. The distribution with n = 49 because the standard deviation will be larger.The distribution with n = 81 because the standard deviation will be larger. (c) For which x distribution is P(1.5 < x < 2.5) greater? Explain your answer. The distribution with n = 49 because the standard deviation will be larger.The distribution with n = 49 because the standard deviation will be smaller. The distribution with n = 81 because the standard deviation will be…
Consider a population distribution of means that come from a normal distribution. The mean of the score distribution(μ)=100 and the standard deviation (σX) =10 and the means are from sample size=16. What is the proportion of means above a means of102.5?
Suppose we have the short hand info on a Normal Distribution as N(10,25). What is the population mean of the distribution and what is the population standard deviation? μ = σ =
Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is μ = 7.2.† A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 36 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.6 with sample standard deviation s = 3.3. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. (a) What is the level of significance? State the null hypothesis H0 and the alternate hypothesis H1 . H0 : μ ---Select--- ≤ < > ≠ ≥ = H1 : μ ---Select--- ≥ < > ≤ = ≠ (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and σ is known. The standard normal, since the sample size is large and σ is unknown. The Student's t,…

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