A magazine includes a report on the energy costs per year for 32-inch liquid crystal display (LCD) televisions. Thearticle states that 14 randomly selected 32-inch LCD televisions have a sample standard deviation of $3.63. Assumethe sample is taken from a normally distributed population. Construct 98% confidence intervals for (a) the populationvariance o² and (b) the population standard deviation o. Interpret the results.((a) The confidence interval for the population variance is(Round to two decimal places as needed.)h

Here, n = 14, s = 3.63, and CL = 0.98.

Answered: A magazine includes a report on the…

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

Scores on an IQ test are normally distributed. A sample of 18 IQ scores had standard deviation s = 8. Construct a 95% confidence interval for the population variance σ².
Suppose that we are interested in comparing the academic success of college students who belong to fraternal organizations and the academic success of those who do not belong to fraternal organizations. Random samples of size 40 are taken from each population where the variances and standard deviations are known. Sample Size Mean GPA Variance (2) 2.03 2.21 Fraternity member (f): 40 Nonmembers (n): 40 .46 .35 Construct a 96% confidence interval estimate for the difference between the mean GPAS (uf- un). Interpret this interval estimate. What can you conclude about the mean GPAs of the two groups?
In a randoms sample of six people, the mean driving distance to work was 19.7 miles and the standard deviation was 6.1 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean u. Interpret the results.
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 x=12.3. Construct a 99% confidence interval for the population mean.
The ages of registered voters in Smith County are normally distributed with a population standard deviation of 3 years and an unknown population mean. A random sample of 18 voters is taken and results in a sample mean of 55 years. Find the margin of error for a 95% confidence interval for the population mean. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round the final answer to two decimal places.
Find the 95% confidence interval for the variance and standard deviation for the time it takes a state police inspector to check a truck for safety if a sample of 21 trucks has a standard deviation of 5.2 minutes. Assume the variable is normally distributed.
Body Mass Index: In a survey of adults with diabetes, the average body mass index (BMI) in a sample of 1928 women was 31.30 with a standard deviation of 0.3. The BMI in a sample of 1559 men was 30.50, with a standard deviation of 0.6. Part 1 of 2 (a) Construct a 99% confidence interval for the difference in the mean BMI between women and men with diabetes. Let H, denote the mean BMI for women with diabetes. Use the TI-84 calculator and round the answers to two decimal places. A 99% confidence interval for the difference in the mean BMI between women and men with diabetes is Part: 1 / 2 Part 2 of 2 (b) Does the confidence interval contradict the claim that the mean BMI is the same for both men and women with diabetes? The confidence interval (Choose one) this claim.
A simple random sample of size n=40 is drawn from a population. The sample mean is found to be x=120.5 and the sample standard deviation is found to be s=13.4. Construct a 99% confidence interval for the population mean. What is the lower and upper bound?
Assume that the heights of women are normally distributed. A random sample of 20 women have a mean height of 62.5 inches and a standard deviation of 1.3 inches. Construct a 98% confidence interval for the population variance, .
Do male and female servers work the same number of hours? A sample of 14 female servers worked an average of 27 hours per week, with a standard deviation of 4. A sample of 23 male servers worked an average of 35 hours per week, with a standard deviation of 3. Construct a 80% confidence interval for the mean difference in hours worked for male and female servers. Assume that the populations are normal with unequal variances. Round your answers to three decimal places, and use four decimal places for any interim calculations. Hint: Think about the formula for the confidence interval. How do we find to? How do we find the standard error given that we are assuming unequal variances? We are 80% confident that the interval (-9.672 -6.328 μ₁ −μ2 in hours worked between male and female servers. Which of the following do you conclude? contains the true mean difference Female servers work more hours on average. O Male servers work more hours on average. Female and male servers work about the…
A magazine includes a report on the energy costs per year for 32-inch liquid crystal display (LCD) televisions. The article states that 14 randomly selected 32-inch LCD televisions have a tro sample standard deviation of $3.26. Assume the sample is taken from a normally distributed population. Construct 95% confidence intervals for (a) the population variance o and (b) the population standard deviation o. Interpret the results. = is (a) The confidence interval for the population variance is (Round to two decimal places as needed.) dd Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice (Round to two decimal places as needed.) O A. With 95% confidence, you can say that the population variance is less than O B. With 5% confidence, you can say that the population variance is greater than OC. With 95% confidence, you can say that the population variance is between O D. With 5% confidence, you can say that the population variance is…
A simple random sample of size n=51 is taken from a normally distributed original population. The sample standard deviation is s=27. Find the 95% confidence interval for the population standard deviation O.

SEE MORE QUESTIONS

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