## Testing a Population Mean Claim for Herdwick Sheep Birth WeightsAn agriculture publication claims that the population mean of the birth weights for all Herdwick sheep is 4.62 kg. A veterinary service has been hired to test this claim. You select a random sample of 35 Herdwick sheep and record their birth weights. Assume it is known that the population standard deviation of the birth weights of Herdwick sheep is 2.15 kg.### Steps to Construct a 95% Confidence IntervalBased on your sample, follow the steps below to construct a 95% confidence interval for the population mean of the birth weights for all Herdwick sheep. Then state whether the confidence interval you construct contradicts the publication's claim.1. **Sampling Data**: - **Number of sheep**: 35 - **Sample mean**: 3.49 kg - **Sample standard deviation**: 2.09 kg - **Population standard deviation**: 2.15 kg2. **Confidence Interval Construction Steps**: - Enter the values in the provided fields for sample size, point estimate, and standard deviations. - Use the critical value from the table provided for 95% confidence: - $ z_{0.025} = 1.960 $#### Diagram Explanation- The diagram contains fields to calculate the 95% confidence interval.- It includes a table for Critical Values.- After filling out the relevant values and computing, you obtain the margin of error and the confidence interval.3. **Graph**: - Plot the lower and upper limits of the confidence interval on the graph. - Mark the point for the publication's claim of 4.62 kg.### Evaluation of Claim4. **Check the Claim**: - Does the 95% confidence interval contradict the publication's claim? - Options provided: - No, the confidence interval does not contradict the claim. The publication's claim is inside the 95% confidence interval. - No, the confidence interval does not contradict the claim. The publication's claim is outside the 95% confidence interval. - Yes, the confidence interval contradicts the claim. The publication's claim is inside the 95% confidence interval. - Yes, the confidence interval contradicts the claim. The publication's claim is outside the 95% confidence interval.Select the most appropriate answer based on your calculations and

The given information is,Number of SheepSample meanSample standard deviationPopulation standard…

Answered: An agriculture publication claims that…

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

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 study of 96 bolts of carpet showed that their average length was 77.5 yards. The standard deviation of the population is 1.6 yards. Which of the following is the 90% confidence interval for the mean length per bolt of carpet?
From the population of 540, a sample of 60 induvidual is taken from this sample. Tge mean is found to be 6.2 and the standerd deviation is 1.368. Find the estimated standerd error of the mean. Construct a 96%confidence intervels for the mean
You measure 25 randomly selected textbooks' weights, and find they have a mean weight of 73 ounces. Assume the population standard deviation is 5.8 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight.
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.
In a random sample of 5 mobile devices, the mean repair cost was $60.00 and the standard deviation was $12.00. Assume the population is normally distributed and use a t-distribution to find the margin of error and construct a 95% confidence interval for the population mean. Interpret the results.
The average gold content from an ore sample in 36 different locations is found to be 2.6 grams per ton. a. Find the 95% and 99% confidence intervals for the mean gold content in that area. Assume that the population variance is 0.09.
Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
In a random sample of eleven people, the mean driving distance to work was 18.1 miles and the standard deviation was 7.6 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 99% confidence interval for the population mean μ. Interpret the results.
Suppose we wish to calculate a 90% confidence interval for the average amount spent on books by freshmen in their first year at a major university. The interval is to have a margin of error of $2. Assume that the amount spent on books by freshmen has a normal distribution with a standard deviation of $30. How many observations are required to achieve this margin of error?
Construct a 90% confidence interval for the population mean, μ . Assume the population has a normal distribution. A sample of 15 randomly selected students has a grade point average of 2.81 with a standard deviation of 0.63 .
A random sample of 64 shoppers showed that they spend an average of $27.31 per visit at the Sunday Mornings Bookstore. The standard deviation of the population is $2.14. Find the 90% confidence interval of the true mean. Please include all work showing how you found your answer.

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