A statistics instructor randomly selected four bags of oranges, each bag labeled 10 pounds, and weighed the bags. They weighed 9.5, 9.7, 9.6, and 9.8 pounds. Assume that the distribution of weights is Normal. Find a 95% confidence interval for the mean weight of all bags of oranges. Use technology for your calculations. Answer parts a and b below. a. Choose the correct interpretation of the confidence interval below and, if necessary, fill in the answer boxes to complete your choice. A. We are 95% confident that the sample mean is between and B. There is a 95% chance that all intervals will be between C. We are 95% confident the population mean is between D. The requirements for constructing a confidence interval are not satisfied. (Type integers or decimals rounded to the nearest thousandth as needed. Use ascending order.) and and b. Does the interval capture 10 pounds? Is there enough evidence to reject the null hypothesis that the population mean weight is 10 pounds? Explain your answer. O A. No, it does not capture 10. Reject the claim of 10 pounds because 10 is not in the interval. B. Yes, it does capture 10. Reject the claim of 10 pounds because 10 is in the interval. C. Yes, it does capture 10. Do not reject the claim of 10 pounds because 10 is in the interval. D. No, it does not capture 10. Do not reject the claim of 10 pounds because 10 is not in the interval.
A statistics instructor randomly selected four bags of oranges, each bag labeled 10 pounds, and weighed the bags. They weighed 9.5, 9.7, 9.6, and 9.8 pounds. Assume that the distribution of weights is Normal. Find a 95% confidence interval for the mean weight of all bags of oranges. Use technology for your calculations. Answer parts a and b below. a. Choose the correct interpretation of the confidence interval below and, if necessary, fill in the answer boxes to complete your choice. A. We are 95% confident that the sample mean is between and B. There is a 95% chance that all intervals will be between C. We are 95% confident the population mean is between D. The requirements for constructing a confidence interval are not satisfied. (Type integers or decimals rounded to the nearest thousandth as needed. Use ascending order.) and and b. Does the interval capture 10 pounds? Is there enough evidence to reject the null hypothesis that the population mean weight is 10 pounds? Explain your answer. O A. No, it does not capture 10. Reject the claim of 10 pounds because 10 is not in the interval. B. Yes, it does capture 10. Reject the claim of 10 pounds because 10 is in the interval. C. Yes, it does capture 10. Do not reject the claim of 10 pounds because 10 is in the interval. D. No, it does not capture 10. Do not reject the claim of 10 pounds because 10 is not in the interval.
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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Transcribed Image Text:A statistics instructor randomly selected four bags of oranges, each bag labeled 10 pounds, and weighed the bags. They weighed
9.5, 9.7, 9.6, and 9.8 pounds. Assume that the distribution of weights is Normal. Find a 95% confidence interval for the mean
weight of all bags of oranges. Use technology for your calculations. Answer parts a and b below.
a. Choose the correct interpretation of the confidence interval below and, if necessary, fill in the answer boxes to complete your
choice.
A. We are 95% confident that the sample mean is between
B. There is a 95% chance that all intervals will be between
and
and
C. We are 95% confident the population mean is between
and
D. The requirements for constructing a confidence interval are not satisfied.
(Type integers or decimals rounded to the nearest thousandth as needed. Use ascending order.)
b. Does the interval capture 10 pounds? Is there enough evidence to reject the null hypothesis that the population mean weight is 10
pounds? Explain your answer.
A. No, it does not capture 10. Reject the claim of 10 pounds because 10 is not in the interval.
B. Yes, it does capture 10. Reject the claim of 10 pounds because 10 is in the interval.
C. Yes, it does capture 10. Do not reject the claim of 10 pounds because 10 is in the interval.
D. No, it does not capture 10. Do not reject the claim of 10 pounds because 10 is not in the interval.
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