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?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.6: Translating Problems Into Equations
Problem 1E
icon
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! 
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?

Expert Solution
steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill