The weights of four randomly chosen bags of horse carrots, each bag labeled 20 pounds, were 20.5, 19.6, 20.6, and 20.0 pounds. Assume that the distribution of weights is Normal. Find a 95% confidence interval for the mean weight of all bags of horse carrots. 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. (Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.) O A. We are 95% confident the population mean weight is between and pounds. O B. We are 95% confident that the sample mean weight is between and pounds. O C. There is a 95% chance that all intervals will be between and pounds. b. Can you reject a population mean of 20 pounds? Explain. O A. No, do not reject 20 pounds. Since 20 pounds is in the interval, it is plausible the population mean weight is 20 pounds. O B. Yes, reject 20 pounds. Since 20 pounds is in the interval, it is not plausible the population mean weight is 20 pounds. Oc. No, do not reject 20 pounds. Since 20 pounds is not in the interval, it is plausible the population mean weight is 20 pounds. OD. Yes, reject 20 pounds. Since 20 pounds is not in the interval, it is not plausible the population mean weight is 20 pounds. O E. There is insufficient information to make a decision regarding the rejection of 20 pounds. The sample size of 4 bags is less than the required 25.
The weights of four randomly chosen bags of horse carrots, each bag labeled 20 pounds, were 20.5, 19.6, 20.6, and 20.0 pounds. Assume that the distribution of weights is Normal. Find a 95% confidence interval for the mean weight of all bags of horse carrots. 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. (Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.) O A. We are 95% confident the population mean weight is between and pounds. O B. We are 95% confident that the sample mean weight is between and pounds. O C. There is a 95% chance that all intervals will be between and pounds. b. Can you reject a population mean of 20 pounds? Explain. O A. No, do not reject 20 pounds. Since 20 pounds is in the interval, it is plausible the population mean weight is 20 pounds. O B. Yes, reject 20 pounds. Since 20 pounds is in the interval, it is not plausible the population mean weight is 20 pounds. Oc. No, do not reject 20 pounds. Since 20 pounds is not in the interval, it is plausible the population mean weight is 20 pounds. OD. Yes, reject 20 pounds. Since 20 pounds is not in the interval, it is not plausible the population mean weight is 20 pounds. O E. There is insufficient information to make a decision regarding the rejection of 20 pounds. The sample size of 4 bags is less than the required 25.
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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Transcribed Image Text:The weights of four randomly chosen bags of horse carrots, each bag labeled 20 pounds, were 20.5, 19.6, 20.6, and 20.0 pounds. Assume that the distribution of weights is Normal. Find a 95% confidence interval for the mean weight of all bags of horse carrots. 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.
(Type integers or decimals rounded to the nearest hundredth as needed. Use ascending order.)
O A. We are 95% confident the population mean weight is between
and
pounds.
O B. We are 95% confident that the sample mean weight is between
and
pounds.
C. There is a 95% chance that all intervals will be between
and
pounds.
b. Can you reject a population mean of 20 pounds? Explain.
O A. No, do not reject 20 pounds. Since 20 pounds is in the interval, it is plausible the population mean weight is 20 pounds.
O B. Yes, reject 20 pounds. Since 20 pounds is in the interval, it is not plausible the population mean weight is 20 pounds.
O C. No, do not reject 20 pounds. Since 20 pounds is not in the interval, it is plausible the population mean weight is 20 pounds.
D. Yes, reject 20 pounds. Since 20 pounds is not in the interval, it is not plausible the population mean weight is 20 pounds.
E. There is insufficient information to make a decision regarding the rejection.of 20 pounds. The sample size of 4 bags is less than the required 25.
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