Answered: Suppose that the distribution of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Answer correctly and read the question correctly, If the question is done correctly, I will write a very wonderful and long review about you! SHOW ALL OF YOUR WORK DO NOT USE EXCEL
Take your time answering the questions, this is all one question, please answer correctly, thank you very much.

PLEASE ANSWER ALL of the questions correlty and please answer all the questions with what it regards in saying exactly, please and thank you take your time. Ive read the guide lines and honor code that i can Submit a question at a time under the appropriate subject. A question can have up to subparts (i.e. part a, b, c, ect). If you dont belive me here is the link of barthleby saying exactly that thanks: https://bartleby.zendesk.com/hc/en-us/articles/360017462394-How-can-I-ensure-my-questions-get-answered-as-quickly-as-possible-

Suppose that the distribution of retirement age in Canada is negatively skewed. The distribution has a mean of 65 and a variance of 16.

(a) For a random sample of n = 81 retired Canadians, what is the probability that the average age of retirement in the sample is less than 64.5?

(b) For a random sample of n = 81 retired Canadians, what is the probability that the average age of retirement in the sample is between 65 and 66?

(c) At what age would have at least 90% of the individuals in the sample retired? In other words, what is the 90th percentile for a random sample of n = 81 retired Canadians?

(d) Everything else being equal, how would an increase in sample size affect the standard error of the mean?

(e) Everything else being equal, how would an increase in sample size influence σ?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution