The owner of Britten's Egg Farm wants to estimate the mean number of eggs producedper chicken. A sample of 17 chickens shows they produced an average of 24 eggs permonth with a standard deviation of 4 eggs per month. (Use t Distribution Table.)a-1. What is the value of the population mean?04O It is unknown.24a-2. What is the best estimate of this value?Best estimatec. For a 98% confidence interval, what is the value of t? (Round your answer to 3decimal places.)Value of td. Develop the 98% confidence interval for the population mean. (Round your answersto 2 decimal places.)Confidenceintervalto

The range where the parameter lies are estimated using the confidence interval. It varies based on…

Answered: The owner of Britten's Egg Farm wants…

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.
Refer to the accompanying data set and construct a 95%confidence interval estimate of the mean pulse rate of adult females; then do the same for adult males. Compare the results. . 1. Construct a 95%confidence interval of the mean pulse rate for adult females. ____ bpm<μ<____ bpm (Round to one decimal place as needed.) 2. Construct a 95% confidence interval of the mean pulse rate for adult males. _____ bpm<μ<____ bpm (Round to one decimal place as needed.)
You are interested in finding a 90% confidence interval for the average commute that non-residential students have to their college. The data below show the number of commute miles for 14 randomly selected non-residential college students. Round answers to 3 decimal places where possible. 5 8 11 10 12 19 24 6 26 10 26 10 26 15 a. To compute the confidence interval use a distribution. b. With 90% confidence the population mean commute for non-residential college students is between and miles. c. If many groups of 14 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of commute miles and about percent will not contain the true population mean number of commute miles.
Show all steps/ calculator commands using a TI84 graphing calculator. 2. The scores of a psychology test are normally distributed, has a mean of 72.9 points and a standard deviation of 10.3 points. Below what score is the bottom 20% of the class? Round to whole numbers What score is at the 85th percentile? Round to whole numbers
You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 15 containers. Estimate the population standard deviation at a 80% level of confidence. 11.86 12.12 12.2 12.08 12.06 12.09 11.92 12.26 12.04 12.1 11.85 11.97 11.85 12 12.01 (Data checksum: 180.41) Keep as many decimals as possible while making these calculations. a) Find the sample standard deviation: b) Find the lower and upper χ2χ2 critical values at 80% confidence:Lower: Upper: c) Report your confidence interval for σσ:
Researchers studied the mean egg length (in millimeters) for a bird population. After taking a random sample of eggs, they obtained a 95% confidence interval of (45,60). What is the value of the margin of error? Choose the correct answer below. A. 15 mm B. 52.5 mm O c. 7.5 mm O D. 1.96
The owner of Britten's Egg Farm wants to estimate the mean number of eggs produced per chicken. A sample of 18 chickens shows they produced an average of 25 eggs per month with a standard deviation of 7 eggs per month. (Uset Distribution Table;) a-1. What is the value of the population mean? O It is unknown. O 25 07 a-2. What is the best estimate of this value? Best estimate c. For a 95% confidence interval, what is the value of t? (Round your answer to 3 decimal places.) Value of t 2.110 d. What is the margin of error? (Round your answer to 2 decimal places.) Margin of error e. Develop the 95% confidence interval for the population mean. (Round your answers to 2 decimal places.) Confidence interval 21.51 to 28.48: f-1. Would it be reasonable to conclude that the population mean is 19 eggs? O No O Yes f-2. What about 22 eggs? O No O Yes
Use the standard normal distribution or the t-distribution to construct a 90% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a random sample of 46 people, the mean body mass index (BMI) was 27.8 and the standard deviation was 6.09. Which distribution should be used to construct the confidence interval? Choose the correct answer below. ○ A. Use a t-distribution because the sample is random, the population is normal, and σ is unknown. ○ B. Use a normal distribution because the sample is random, the population is normal, and σ is known. ○ C. Use a t-distribution because the sample is random, n ≥30, and σ is unknown. ○ D. Use a normal distribution because the sample is random, n ≥30, and σ is known. ○ E. Neither a normal distribution nor a t-distribution can be used because either the sample is not random, or n <30, and the population is not known to be normal.
Hospital Noise Levels Noise levels at various area urban hospitals were measured in decibels. The mean noise level in 169 ward areas was 60.3 decibels, and the population standard deviation is 6.1 . Find the 96% confidence interval of the true mean. Use a graphing calculator and round the answers to one decimal place.

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