MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Related questions
Concept explainers
Question
thumb_up100%
![**Problem Statement:**
A population has a mean \( \mu = 84 \) and a standard deviation \( \sigma = 9 \). Find the mean and standard deviation of a sampling distribution of sample means with sample size \( n = 81 \).
**Solution:**
The mean of the sampling distribution of sample means (\( \mu_{\bar{x}} \)) is the same as the population mean:
\[ \mu_{\bar{x}} = \mu = 84 \]
(Simplify your answer.)
Additionally, the standard deviation of the sampling distribution of sample means, also known as the standard error, is calculated using the formula:
\[ \sigma_{\bar{x}} = \frac{\sigma}{\sqrt{n}} \]
where \( \sigma = 9 \) and \( n = 81 \).](https://content.bartleby.com/qna-images/question/5afb51c8-cf9a-4d51-9704-9077aa192135/fd8c67ca-8677-47c0-98db-49938d398064/8uo558n_processed.png)
Transcribed Image Text:**Problem Statement:**
A population has a mean \( \mu = 84 \) and a standard deviation \( \sigma = 9 \). Find the mean and standard deviation of a sampling distribution of sample means with sample size \( n = 81 \).
**Solution:**
The mean of the sampling distribution of sample means (\( \mu_{\bar{x}} \)) is the same as the population mean:
\[ \mu_{\bar{x}} = \mu = 84 \]
(Simplify your answer.)
Additionally, the standard deviation of the sampling distribution of sample means, also known as the standard error, is calculated using the formula:
\[ \sigma_{\bar{x}} = \frac{\sigma}{\sqrt{n}} \]
where \( \sigma = 9 \) and \( n = 81 \).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Suppose that you are using independent samples to compare two population proportions. Fill in the blanks. a. The mean of all possible differences between the two sample proportions equals the_______.b. For large samples, the possible differences between the two samplel proportions have approximately a_________distribution.arrow_forwardA population has a mean p= 79 and a standard deviation o = 12. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 36. %3D H=(Simplify your answer.) %3D (Simplify your answer)arrow_forwardThe instructor takes a random sample of size from the population data and obtains the following sample data: x 405 385 495 385 555 470 8 The sample standard deviation is, a 69.17 b 66.51 c 63.14 d 61.49arrow_forward
- one z-score unit is equivalent to ______ of the distribution. a. the variance b. the range c. the standard deviation d. the mean e. the correlation coefficientarrow_forwardThe ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, variance, and standard deviation of the sample data set. 12, 21, 23, 15, 20, 18, 21, 16, 15, 16 The range is 11. (Simplify your answer.) The mean is 17.7. (Simplify your answer. Round to the nearest tenth as needed.) The variance is 12.0. (Simplify your answer. Round to the nearest tenth as needed.) The standard deviation is (Simplify your answer. Round to the nearest tenth as needed.)arrow_forwardA population has a mean μ = 83 and a standard deviation o=29. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 252. (Simplify your answer.) example Get more help. C Clear all Check answerarrow_forward
- A population has a mean μ = 82 and a standard deviation o = 16. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 64. H = (Simplify your answer.) ...arrow_forwardA population has a mean p= 75 and a standard deviation o= 6. Find the mean and standard deviation of a sampling distribution of sample means with sample size n= 36. (Simplify your answer.)arrow_forwardA population has a mean μ = 70 and a standard deviation o=36. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 81. H=(Simplify your answer.) = (Simplify your answer.)arrow_forward
- Find the range, the standard deviation, and the variance for the givien samples. Round non integer results to the nearest tenth. 2 ,6,8,10,12,15,17arrow_forwardNext question The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, variance, and sta the sample data set. 12, 16, 23, 14, 17, 18, 21, 18, 15, 15 9 ...... The range is: (Simplify your answer.)arrow_forwardFor an Economics test the mean score is 100 and the standard deviation is 10, and for an Accounting test the mean score is 50 and the standard deviation is 4. You are given the test scores of a student who took both tests. Determine on which test the student had a better score. Enter E if the student did better on the Economics test Enter A if the student did better on the Accounting test Enter S if the student did relatively the same on both tests. A student scores 125.6 on the Economics test and 60.2 on the Accounting test. The student did better/same on test.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning 
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
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