Try the fastest way to create flashcards
Question

In the earlier exercise, a population and sample size are given. Find the mean and standard deviation of the sampling distribution of sample means and compare them with the mean and standard deviation of the population.

The minutes of overtime reported by each of the three executives at a corporation are 90,120 , and 210. Use a sample size of 3.

Solution

Verified
Answered 8 months ago
Answered 8 months ago
Step 1
1 of 5

Given: 90,120,21090, 120, 210

N=Number of samples=27N*=\text{Number of samples}=27

We need to determine all possible samples of size 33 from the given population.

Next, we also need to determine the mean of each sample, which is the sum of the two data values divided by 33.

1st data value2nd data value3rd data valueMean909090(90+90+90)/3=90909012010090902101309012090100901201201109012021014090210901309021012014090210210170120909010012090120110120902101401201209011012012012012012012021015012021090140120210120150120210210180210909013021090120140210902101702101209014021012012015021012012018021021090170210210120180210210210210\begin{array}{ c c c | c } \text{1st data value} & \text{2nd data value} & \text{3rd data value} &\text{Mean} \\ \hline 90& 90& 90& \color{#4257b2}(90+90+90)/3=\color{black}90 \\ 90 & 90 & 120 & 100 \\ 90 & 90 & 210 & 130 \\ 90 & 120 & 90 & 100 \\ 90 & 120 & 120 & 110 \\ 90 & 120 & 210 & 140 \\ 90 & 210 & 90 & 130 \\ 90 & 210 & 120 & 140 \\ 90 & 210 & 210 & 170 \\ 120 & 90 & 90 & 100 \\ 120 & 90 & 120 & 110 \\ 120 & 90 & 210 & 140 \\ 120 & 120 & 90 & 110 \\ 120 & 120 & 120 & 120 \\ 120 & 120 & 210 & 150 \\ 120 & 210 & 90 & 140 \\ 120 & 210 & 120 & 150 \\ 120 & 210 & 210 & 180 \\ 210 & 90 & 90 & 130 \\ 210 & 90 & 120 & 140 \\ 210 & 90 & 210 & 170 \\ 210 & 120 & 90 & 140 \\ 210 & 120 & 120 & 150 \\ 210 & 120 & 120 & 180 \\ 210 & 210 & 90 & 170 \\ 210 & 210 & 120 & 180 \\ 210 & 210 & 210 & 210 \end{array}

Create a free account to view solutions

Create a free account to view solutions

Recommended textbook solutions

Elementary Statistics: Picturing The World 7th Edition by Betsy Farber, Ron Larson

Elementary Statistics: Picturing The World

7th EditionISBN: 9780134683416Betsy Farber, Ron Larson
3,258 solutions
Probability and Statistics for Engineers and Scientists 9th Edition by Keying E. Ye, Raymond H. Myers, Ronald E. Walpole, Sharon L. Myers

Probability and Statistics for Engineers and Scientists

9th EditionISBN: 9780321629111 (4 more)Keying E. Ye, Raymond H. Myers, Ronald E. Walpole, Sharon L. Myers
1,204 solutions
The Practice of Statistics for the AP Exam 5th Edition by Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor

The Practice of Statistics for the AP Exam

5th EditionISBN: 9781464108730 (1 more)Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor
2,433 solutions
Statistics and Probability with Applications 3rd Edition by Daren S. Starnes, Josh Tabor

Statistics and Probability with Applications

3rd EditionISBN: 9781464122163Daren S. Starnes, Josh Tabor
2,555 solutions

More related questions

1/4

1/7