The amount of nicotine in a cigarette produced by a tobacco company is a random variablewith mean 2.2 mg and standard deviation 0.3 mg. Taking 100 randomly chosen cigarettes, let X; denotethe nicotine content of the ith cigarette for i = 1,..., 100, and let X = 100 Ei=1 X; be the sample meanof the nicotine content.100a. What is the variance of X?Var(X) =Approximate the probability that X is higher than 2.25 in terms of the standard normal randomvariable. (The answer is given in terms of 2.25, standardized by mean and standard deviation ofX.)P(X> 2.25) = P(Z >

Formula used: The standard deviations of sampling distribution is= Sd/ √n

Answered: The amount of nicotine in a cigarette…

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 the mean and variance of variable X are given respectively by μ = 36.2 and Var(X) =4.2. What is the average of the squared values of variable X?
One group of accounting students took a distance learning class, while another group took the same course in a traditional classroom. At α = .10, is there a significant difference in the mean scores listed below? Exam Scores for Accounting Students Statistic Distance Classroom Mean scores x¯1x¯1 = 9.7 x¯2x¯2 = 10.0 Sample std. dev. s1 = 2.7 s2 = 2.9 Number of students n1 = 23 n2 = 23 Specify the decision rule. (Round your answers to 3 decimal places. A negative value should be indicated by a minus sign.) Find the test statistic tcalc. (Round your answer to 4 decimal places. A negative value should be indicated by a minus sign.) Use Excel to find the p-value. (Round your answer to 3 decimal places.)
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