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STAT 2507 Lecture Notes - Lecture 7: Random Variable, Standard Deviation, Central Limit Theorem

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lemonelephant783
20 Jan 2015
School
Carleton University
Department
Statistics
Course
STAT 2507
Professor
Zahra Montazeri

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Document Summary

Chapter 7 parameter: new, sigma^2, p statistic: x (random variable), s^2, p. X| changes because we have random numbers probability distribution for x|? example: population: 2,4,3. X| -> se = sigma/root(n) distribution of t (total): t = x1+x2xn. P(x|

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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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Related Questions

The queuing time at an airline check-in has a population mean h = 13 minutes and variance o2 = 16 minutes2. Suppose that n = 27 passengers were randomly selected from this population. They were interviewed and reported the queued times. Let x̄ defines the sample mean of n observations. Answer the followings:

a) Define your random variable X.

b) Define the sampling distribution of sample mean (indicate a reason and give the name of the distribution, the parameters and sketch it.

c) What is the probability that a sample mean is at most 11 minutes. Please skecth the problem and show all details of your answer.

d) Suppose that for n = 27 passengers, the sample mean is observed as x̄= 10 minutes. Based on part c, can we claim that the population mean queuing time is less than 13 minutes.

e) Construct a 95% acceptance region for sample mean of queing time (i.e., u + za x f) Interpret the result obtained in parte and skecth the control chart.