Home Work Assignment 2

for MSIS 385 section 02

Last modified on 2/12/99 8:43 AM

Due February 23 1999 in class

Note:

Make sure to put your name, student ID number and the date on the handout

 

Question 1

Do question 9.4 on page 333 of your text

Question 2

Do question 9.7 on page 333 of your text

Question 3

Do question 9.10 on page 336 of your text

Question 4

Do question 9.13 on page 337of your text

Question 5

In a small office of 8 people the number of days each employee missed work due to flue in the months of January and February of 1998 is summarized in the following table:

Susan

Jack

Jamile

Munir

Pamela

Yin

Isabella

Lei

1

5

3

1

5

7

7

5

 

Consider a sample of size 2 with replacement from this population

  1. What are the mean and variance of this population?
  2. What is the probability density function of the sample mean? What is the mean of the sample mean? What is the variance of sample mean?
  3. What is the probability density function of the sample variance? What is the mean of the sample variance? What is the variance of sample variance? (Note: sample variance is obtained by dividing by n-1 where n is the sample size.)
  4. What is the density function of the sample standard deviation (square root of variance)? What is the mean of the sample standard deviation? What is the variance of the sample standard deviation?

Question 6

Do Question 5, parts a) through d) but using samples of size 2 without replacement. In each case compare the results to Question 5 and comment on similarity or difference.


 

 

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