Homework Help is Here – Start Your Trial Now!
Math
Statistics
Can you answer ONLY 28 G and H thanks i only need G AND H

Can you answer ONLY 28 G and H thanks i only need G AND H

MATLAB: An Introduction with Applications
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
icon
Related questions
Question
Can you answer ONLY 28 G and H thanks i only need G AND H
When doing statistics, usually we do not have access to the population data represented in that bar graph. Instead, we might try to use a survey to estimate the mean number of children in an American household. Suppose that a survey is taken with a sample size of 36. The results are summarized as follows: Sample mean is = 1.3 Sample standard deviation is s = 0.7 e) Find the margin of error E for this survey, with 99% confidence. Be sure to look up the correct formula. If you are unfamiliar with E, it's the number after the "+/-" in Professor Avedikian's notes. Here is a useful portion of the chart for Student's t-distribution. 36=men=13 SD 0.7 Morgin Cf error : con eidence intervol is 99 Degree of freedom = df=n -1 - 0 36-1-35 Then the t Critical value 35 degree of freedom @ 99 oro conficYence int erval is 2,724. Now = t 35, 0.01 XSn = 2 724x O 736-0 3178. 0.025 0.005 2.030 2.724 2.028 2.719 1.687 2.026 2.715 Area to the right of t 0.05 t-score, df= 35 1.690 t-score, df= 36 1.688 at t-score, df= 37 Confidence level 90% 95% 99% Margin of O. 3178. error will be f) Fill in the blanks in the following statement with the appropriate numbers (rounded off). "Based on the results of our survey, we are 99 % confident that the population mean µ is between _O. 9822 and. 6178 g) Simple yes or no: did this survey “get it right"? In other words, is the true value µ = 1.1 within the confidence interval? h) If you were able to spend more time and money in order to improve the survey, what should you do? What is the best way to either increase the confidence or decrease the margin of error?
Transcribed Image Text:When doing statistics, usually we do not have access to the population data represented in that bar graph. Instead, we might try to use a survey to estimate the mean number of children in an American household. Suppose that a survey is taken with a sample size of 36. The results are summarized as follows: Sample mean is = 1.3 Sample standard deviation is s = 0.7 e) Find the margin of error E for this survey, with 99% confidence. Be sure to look up the correct formula. If you are unfamiliar with E, it's the number after the "+/-" in Professor Avedikian's notes. Here is a useful portion of the chart for Student's t-distribution. 36=men=13 SD 0.7 Morgin Cf error : con eidence intervol is 99 Degree of freedom = df=n -1 - 0 36-1-35 Then the t Critical value 35 degree of freedom @ 99 oro conficYence int erval is 2,724. Now = t 35, 0.01 XSn = 2 724x O 736-0 3178. 0.025 0.005 2.030 2.724 2.028 2.719 1.687 2.026 2.715 Area to the right of t 0.05 t-score, df= 35 1.690 t-score, df= 36 1.688 at t-score, df= 37 Confidence level 90% 95% 99% Margin of O. 3178. error will be f) Fill in the blanks in the following statement with the appropriate numbers (rounded off). "Based on the results of our survey, we are 99 % confident that the population mean µ is between _O. 9822 and. 6178 g) Simple yes or no: did this survey “get it right"? In other words, is the true value µ = 1.1 within the confidence interval? h) If you were able to spend more time and money in order to improve the survey, what should you do? What is the best way to either increase the confidence or decrease the margin of error?
28. Below is a relative frequency bar chart of the number of children in American households. The horizontal axis is the number of children (0, 1, 2, 3, or 4) and the vertical axis is the fraction of households with that many children. 0.4 ili. 0.35 0.3 0.25 0.2 0.15 0.1 0.05 1 2 4 a) Describe the shape of this graph: is it uniform, symmetric, skewed right, or skewed left? b) Since probabilities are just relative frequencies, we can fill in the following probability table. All you have to do is read off the chart above. You may need a straight edge to help. One box has been filled in for you to show the idea. 1 2 3 4 P(x) 0.24 c) Check to make sure that you’ve accounted for 100% of the data by adding up the second row – you should get 1.00 d) Verify that the mean of this distribution is u = 1.1 The formula is µ = E[xP(x)], which means that you should multiply each column of the table, x times P(x), then add all the results. Since you've been given the answer, the key here is to show your work.
Transcribed Image Text:28. Below is a relative frequency bar chart of the number of children in American households. The horizontal axis is the number of children (0, 1, 2, 3, or 4) and the vertical axis is the fraction of households with that many children. 0.4 ili. 0.35 0.3 0.25 0.2 0.15 0.1 0.05 1 2 4 a) Describe the shape of this graph: is it uniform, symmetric, skewed right, or skewed left? b) Since probabilities are just relative frequencies, we can fill in the following probability table. All you have to do is read off the chart above. You may need a straight edge to help. One box has been filled in for you to show the idea. 1 2 3 4 P(x) 0.24 c) Check to make sure that you’ve accounted for 100% of the data by adding up the second row – you should get 1.00 d) Verify that the mean of this distribution is u = 1.1 The formula is µ = E[xP(x)], which means that you should multiply each column of the table, x times P(x), then add all the results. Since you've been given the answer, the key here is to show your work.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS