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a. Find a 95% confidence interval for the mean weight of all bags of tomatoes. (Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.) b. Does the interval capture 5.0 pounds? Is there enough evidence to reject a mean weight of 5.0 pounds?

a. Find a 95% confidence interval for the mean weight of all bags of tomatoes. (Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.) b. Does the interval capture 5.0 pounds? Is there enough evidence to reject a mean weight of 5.0 pounds?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Assume Normality. The weights of four randomly and independently selected bags of tomatoes labeled 5.0 pounds were found to be 5.2, 5.0, 5.2, and 5.1 pounds. O Answer parts (a) and (b) below. a. Find a 95% confidence interval for the mean weight of all bags of tomatoes. (Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.) b. Does the interval capture 5.0 pounds? Is there enough evidence to reject a mean weight of 5.0 pounds? A. The interval captures 5.0 pounds, so there is enough evidence to reject a mean weight of 5.0 pounds. It is not plausible the population mean weight is 5.0 pounds. B. The interval does not capture 5.0 pounds, so there is enough evidence to reject a mean weight of 5.0 pounds. It is not plausible the population mean weight is 5.0 pounds. C. The interval does not capture 5.0 pounds, so there not is enough evidence to reject a mean weight of 5.0 pounds. It is plausible the population mean weight is 5.0 pounds. D. The interval captures 5.0 pounds, so there is not enough evidence to reject a mean weight of 5.0 pounds. It is plausible the population mean weight is 5.0 pounds. O E. There is insufficient information to make a decision regarding the rejection of 5.0 pounds. The sample size of 4 bags is less than the required 25.
Transcribed Image Text:Assume Normality. The weights of four randomly and independently selected bags of tomatoes labeled 5.0 pounds were found to be 5.2, 5.0, 5.2, and 5.1 pounds. O Answer parts (a) and (b) below. a. Find a 95% confidence interval for the mean weight of all bags of tomatoes. (Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.) b. Does the interval capture 5.0 pounds? Is there enough evidence to reject a mean weight of 5.0 pounds? A. The interval captures 5.0 pounds, so there is enough evidence to reject a mean weight of 5.0 pounds. It is not plausible the population mean weight is 5.0 pounds. B. The interval does not capture 5.0 pounds, so there is enough evidence to reject a mean weight of 5.0 pounds. It is not plausible the population mean weight is 5.0 pounds. C. The interval does not capture 5.0 pounds, so there not is enough evidence to reject a mean weight of 5.0 pounds. It is plausible the population mean weight is 5.0 pounds. D. The interval captures 5.0 pounds, so there is not enough evidence to reject a mean weight of 5.0 pounds. It is plausible the population mean weight is 5.0 pounds. O E. There is insufficient information to make a decision regarding the rejection of 5.0 pounds. The sample size of 4 bags is less than the required 25.
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