A simple random sample of size n=40 is drawn from a population. The sample mean is found to be x = 121.3 and the sample standard deviation is found to be s= 12.8. Construct a 99% confidence interval for the population mean The lower bound is (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

please do both, thank you so much! :)))))

A simple random sample of size \( n = 40 \) is drawn from a population. The sample mean is found to be \( \bar{x} = 121.3 \) and the sample standard deviation is found to be \( s = 12.8 \). Construct a 99% confidence interval for the population mean.

The lower bound is \(\_\) (Round to two decimal places as needed.)
Transcribed Image Text:A simple random sample of size \( n = 40 \) is drawn from a population. The sample mean is found to be \( \bar{x} = 121.3 \) and the sample standard deviation is found to be \( s = 12.8 \). Construct a 99% confidence interval for the population mean. The lower bound is \(\_\) (Round to two decimal places as needed.)
In a random sample of 64 audited estate tax returns, it was determined that the mean amount of additional tax owed was $3,484 with a standard deviation of $2,519. Construct and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns.

---

Find and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns. Select the correct choice below and fill in the answer boxes to complete your choice (Use ascending order. Round to the nearest dollar as needed).

A. One can be 90% confident that the mean additional tax owed is between $[ ] and $[ ].

B. 90% of taxes owed for estate tax returns are between $[ ] and $[ ].

C. There is a 90% probability that the mean additional tax owed is between $[ ] and $[ ].
Transcribed Image Text:In a random sample of 64 audited estate tax returns, it was determined that the mean amount of additional tax owed was $3,484 with a standard deviation of $2,519. Construct and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns. --- Find and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns. Select the correct choice below and fill in the answer boxes to complete your choice (Use ascending order. Round to the nearest dollar as needed). A. One can be 90% confident that the mean additional tax owed is between $[ ] and $[ ]. B. 90% of taxes owed for estate tax returns are between $[ ] and $[ ]. C. There is a 90% probability that the mean additional tax owed is between $[ ] and $[ ].
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

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