The possible samples with mean tenure are 12, 14, 6, 19,12 S.No. Sample (12. 14) Sample mean 13

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Question

The image with the table is the answer to question 3.

The possible samples with mean tenure are:
12, 14, 6, 19,12
S.No.
1
2
3
4
5
6
7
8
9
10
Sample
(12, 14)
(12, 6)
(12, 19)
(12, 12)
(14, 6)
(14, 19)
(14, 12)
(6, 19)
(6, 12)
(19, 12)
Sample
mean
13
9
15.5
12
10
16.5
13
12.5
9
15.5
Transcribed Image Text:The possible samples with mean tenure are: 12, 14, 6, 19,12 S.No. 1 2 3 4 5 6 7 8 9 10 Sample (12, 14) (12, 6) (12, 19) (12, 12) (14, 6) (14, 19) (14, 12) (6, 19) (6, 12) (19, 12) Sample mean 13 9 15.5 12 10 16.5 13 12.5 9 15.5
4. Under simple random sampling, what is the probability of each sample you wrote down in
question 3?
5. For each CEO, calculate the probability that he/she is selected into a sample. Comment on
your answer.
6. Use your answers to questions 3 and 4 to write down the probability distribution of the
sample mean x (i.e. a table with possible outcomes and associated probabilities).
Transcribed Image Text:4. Under simple random sampling, what is the probability of each sample you wrote down in question 3? 5. For each CEO, calculate the probability that he/she is selected into a sample. Comment on your answer. 6. Use your answers to questions 3 and 4 to write down the probability distribution of the sample mean x (i.e. a table with possible outcomes and associated probabilities).
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Follow-up Question
7. Calculate the expected value of x. How does your answer compare to the population mean
of tenure?
8. Suppose that you sampled 2 CEOs with replacement instead. How many different samples
are possible, and what is the probability of each sample occurring?
Transcribed Image Text:7. Calculate the expected value of x. How does your answer compare to the population mean of tenure? 8. Suppose that you sampled 2 CEOs with replacement instead. How many different samples are possible, and what is the probability of each sample occurring?
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