## 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

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Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
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 65 dates, the mean record high daily temperature in a certain city has a mean of 84.70°F. Assume the population standard deviation is 14.54°F.
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.
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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 80 dates, the mean record high daily temperature in a certain city has a mean of 83.78°F. Assume the population standard deviation is 14.92°F. The 90% confidence interval is (enter your response here,enter your response here). (Round to two decimal places as needed.)
Which type of confidence interval should you use in this situation? A sample of 25 different payroll departments found that the employees worked an average of 310.3 days a year with a standard deviation of 23.8 days. The distribution is approximately normally distributed. Find the 90% confidence interval for the average days worked of all payroll departments. Question 2 options: 1) a confidence interval for the mean using a table value from the standard normal distribution. 2) a confidence interval for the mean using a table value from the t distribution. 3) a confidence interval for a proportion using a table value from the standard normal distribution. 4) a confidence interval for proportion using a table value from the t distribution. 5) none of the above.
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Construct the indicated confidence interval for the difference in proportions. Assume that the samples are Independent and that they have been randomly selected. A survey of randomly chosen adults found that 45% of the 231 women and 61% of the 275 men follow regular exercise programs. Construct a 95% confidence interval for the difference in the proportions of women and men who have regular exercise programs. O A. (-0.165, -0.155) OB. (0.052, 0.268 ) OC. (-0.246, -0.074) O D. (-0.267, -0.053) O E. (-0.250, -0.070 )
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