A simple random sample of 50 items resulted in a sample mean of 30. The population standard deviation is σ = 20.a. Compute the 95% confidence interval for the population mean. Round your answers to one decimal place.[________ , ________]b. Assume that the same sample mean was obtained from a sample of 90 items. Provide a 95% confidence interval for the population mean. Round your answers to two decimal places.[________ , ________]c. What is the effect of a larger sample size on the interval estimate?Larger sample provides a [Select your answer ▼] margin of error.

Sample mean x¯=30 Population standard deviation σ=20 Confidence interval 1-α=0.95

Answered: A simple random sample of 50 items…

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

Starting salaries of 105 college graduates who have taken a statistics course have a mean of $43,442. Suppose we know that the population standard deviation o is $8,975. Using a 0.97 degree of confidence, find both of the following: A. The margin of error E B. The confidence interval for the mean l:
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals. A random sample of 45 home theater systems has a mean price of $142.00. Assume the population standard deviation is $18.80. Construct a 90% confidence interval for the population mean. The 90% confidence interval is (____, ____) (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is (____, ____) (Round to two decimal places as needed.)
Prof. Gersch knows that the score on a standardized test is perfectly normal with unknown mean and a standard deviation of 50. He then takes a random sample of 25 tests and finds that the average of these is 200. Prof. Gersch wishes to make a 95% confidence interval for the average of all the grades.What is the upper end of the confidence interval? a. 220 b. 300 c. 298 d. 225.8 e. 329 f. 219.6
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 49 business days, the mean closing price of a certain stock was $109.89 . Assume the population standard deviation is $10.27 .
A marine biologist would like to estimate the mean weight of all mahi mahi on the Treasure Coast, using a 99% confidence interval. The standard deviation of the weights of all mahi mahi on the Treasure Coast is known to be 8.2 pounds. How large a sample of mahi mahi should the marine biologist select so that the estimate is within 0.88 pounds of the true population mean. Round the solution up to the nearest whole number. n=
A statistics practitioner took a random sample of 55 observations from a population whose standard deviation is 28 and computed the sample mean to be 110. Note: For each confidence interval, enter your answer in the form (LCL, UCL). You must include the parentheses and the comma between the confidence limits. A. Estimate the population mean with 95% confidence. Confidence Interval =| B. Estimate the population mean with 90% confidence. Confidence Interval = C. Estimate the population mean with 99% confidence. Confidence Interval =
Construct the confidence interval for the population mean. If the sample size is 35, the sample mean is 4.8, and the sample standard deviation is 2.2. We also know that the population standard deviation is 2.6. Use the Confidence Level = 95%. Use parentheses and four decimal places.
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals. A random sample of 40 home theater systems has a mean price of $117.00.Assume the population standard deviation is $18.40.
Use the t-table or any statistical tool and report the t-score that you multiple by the standard error to form the margin of error for a 95% confidence interval for a mean with 5 observations. a. 2.132 b. 2.776 c. 2.015 d. 2.571
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals. A random sample of 40 home theater systems has a mean price of $130.00. Assume the population standard deviation is $18.50. The 90% confidence interval is ( 125.19), 134.81). (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is ( 124.27 , 135.73). (Round to two decimal places as needed.) Interpret the results. Choose the correct answer below. O A. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean price lies in the second interval. The 95% confidence interval is narrower than the 90%. O B. With 90%…
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals. 10. A random sample of 40 home theater systems has a mean price of $126.00. Assume the population standard deviation is $16.70. Construct a 90% confidence interval for the population mean. The 90% confidence interval is (nothing,nothing)
A statistics practitioner took a random sample of 48 observations from a population whose standard deviation is 32 and computed the sample mean to be 107. Note: For each confidence interval, enter your answer in the form (LCL, UCL). You must include the parentheses and the comma between the confidence limits. A. Estimate the population mean with 95% confidence. Confidence Interval = B. Estimate the population mean with 90% confidence. Confidence Interval = C. Estimate the population mean with 99% confidence. Confidence lInterval =

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