9. Properties of a čônfidenčé intérvalSuppose the mean of a population is u = 36. A researcher (who does not know that µ = 36) selects a random sample of size n from this population.Then he constructs a 90% confidence interval of the population mean.The true population mean and the researcher's 90% confidence interval of the population mean are shown in the following graph. Use the graph toanswer the questions that follow.Sample Mean90% Confidence Intervalof the Population MeanTrue Population Mean3435363738394041424344Use the grey star to mark the mean of the sample. (Be sure to place the star on the horizontal blue line segment that represents the confidenceinterval.)To construct the confidence interval, the quantity tsM is subtracted from and added to the sample mean.In this case, tsM =Suppose that the researcher uses the same sample but decides to construct a 80% confidence interval of the mean of the population.Compared with the center of the 90% confidence interval, the center of the 80% confidence intervalCompared to the 90%confidence interval, the 80% confidence intervalAt the same confidence level,in the sample size would have a similar effect on the width of the confidence interval as changing theconfidence level from 90% to 80% .

From the given graph Lower Confidence level=38 Upper Confidence level=43 a) Mean: Mean=Upper…

Answered: Suppose the mean of a population is u =…

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

Similar questions

suppose that you take 1000 simple random samples from a population and that, for each sample, you obtain a 95% confidence interval for an unknown parameter. Approximately how many of those confidence intervals will continue the value of the unknown parameter?
It is a well-known fact that 40% of college students LOVE taking Mathematics. A certain professor at WCC wanted to test to see if a majority of students at WCC LOVE taking Mathematics. To test this, the professor randomly samples 1000 students and finds that 515 of them LOVE taking Mathematics.At the 0.05 level of significance, does the above sample provide evidence to suggest a majority of students at WCC LOVE taking Mathematics? Step 1: Define the parameter & setup the testStep 2: State the Level of SignificanceStep 3: Find the value of the Test StatisticsStep 4: Find P-Value OR Find Critical ValueStep 5: State Conclusion and why
QUESTION 23 Ali constructed a 98% confidence interval for the mean amount spent per day in a shopping mall based on 100 customers. The confidence interval was found to be (AED 1150, AED 2150). Select all correct answers. The mean amount spent per day by the 100 customers selected in the sample falls between AED 1150 and AED 2150. We are 98% confident that the mean amount spent per day by customers falls between AED 1150 and AED 2150. The mean amount spent per day by all customers falls between AED 1150 and AED 2150. 98% of all customers spent between AED 1150 and AED 2150 per day.
If n = 580 and X = 464, construct a 90% confidence interval for the population proportion, p.Give your answers to three decimals______< p < ______
Ch. 6.1 CI We examine the effect of different inputs on determining the sample size needed to obtain a specific margin of error when finding a confidence interval for a proportion. Find the sample size needed to give, with 95% confidence, a margin of error with +/- 6% when estimating a proportion. Within +/- 4%. Within +/- 1%. (Assume no prior knowledge about the population proportion p). Comment on the relationship between the sample size and the desired margin of error.
Question 17: determine which is the 95% confidence interval and which is the 99% confidence interval. (60,120) (75,100)
Which of the following would result in the widest confidence interval? A sample size of 30 with 95% confidence. A sample size of 100 with 95% confidence A sample size of 100 with 99% confidence. A sample size of 30 with 99% confidence.
If n=19, ¯x(x-bar)=34, and s=12, construct a confidence interval at a 95% confidence level. Assume the data came from a normally distributed population.Give your answers to one decimal place. ________________< μ <_____________________
Set up the null and alternate hypotheses to test whether the population mean is equal to 10 when you have a sample mean. H0: Ha:
In a recent poll, 430 people were asked if they liked dogs, and 94% said they did. Find the Margin of Error for this poll, at the 95% confidence level. Give your answer to four decimal places if possible. ______________________
QUESTION 28 A car insurance company wanted information about the age of its customers. A researcher computed 90%, 95%, 97%, and 99% confidence intervals for the population mean age of the customers. Which of the following intervals is the the 95% confidence interval for the population mean age? (36.30, 39.70) (36.70, 39.30) (36.56, 39.44) (36.91, 39.09)
If n = 560 and X = 448, construct a 95% confidence interval for the population proportion, p.Give your answers to three decimals______ < p < _______

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

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

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS