Question 1Central Limit Theorem for SumsSuppose random samples of n = 34 are collected from an unknown distribution with the properties= 42 and o= 3.a. Determine the mean of ΣX.>b. Determine the standard deviation of EX.Submit Question(Include four decimal places.)MacBook Air

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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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Q scores are normally distributed with a mean of 95 and a standard deviation of 18. Assume that many samples of size n are taken from a large population of people and the mean IQ score is computed for each sample. a. If the sample size is n=81, find the mean and standard deviation of the distribution of sample means. The mean of the distribution of sample is __ The standard deviation of the distribution of sample means is__ (type an integer or decimal rounded to the nearest tenth as needed) b. If the sample size is n=169, find the mean and standard deviation of the distribution of sample means. The mean of distribution of sample means is __ The standard deviation of the distribution of sample means is __ (type an iteger or decimal rounded to the nearest tenth as needed) c. Why is the standard deviation in part A. different from the standard deviation in part B? Choose the correct answer below A. With smaller sample sizes (as in part a), the means tend to be further apart, so they have…
You play roulette and observe the ball land in the 1st dozen (i.e., 1-12) 5 times out of 5 spins. You want to perform a test to determine if the wheel is fair. State the null and alternative hypothesis. What is the p-value of this test? For ? α =.05 significance level, what do you conclude?
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The round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.8 mm. Round values to 4 decimal places when possible. b. The standard deviation is c. The probability that the round a. The mean of this distribution is off error for a jumper's distance is exactly 0.3 is P(x-03)-d. The probability that the round off error for the distance that a long jumper has jumped is between 0 and 5 8 mm is PC1.7 x 5.2)- that the jump's round off error is greater than 1.76 is P(x > 1.76) Find the 81st percentile. e. The probability f P(x > 1.4 x > 0.6) h. Find the mnmum for the upper quartile.
Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed. Standardized Test Composite Scores 28633Score μ=19.7 σ=5.4 28<x<33 x A graph titled "Standardized Test Composite Scores" has a horizontal x-axis labeled "Score" from about 1 to 39 with tick marks at 6, 28, and 33. A normal curve labeled μ = 19.7 σ = 5.4 is centered above the x-axis at 19.7. Two vertical line segments extend from the curve to the x-axis at 28 and 33. The area below the curve and between the two vertical line segments is shaded and labeled 28 < x < 33. The probability that the member selected at random is from the shaded area of the graph is enter your response here. (Round to four decimal places as needed.)
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Central Limit Theorem for Sums Suppose random samples of n = 34 are collected from an unknown distribution with the properties μ = 42 and σ = 3. a. Determine the mean of EX. b. Determine the standard deviation of EX. (Include four decimal places.)