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(c) Consider the following statement: We can be highly confident that 95% of all bottles of this type of cough syrup have an alcohol content that is between 7.9 and 9.8. Is this statement correct? Why or why not? O It is a correct statement. This is the definition of a confidence interval. O It is not a correct statenment. The interval is an estimate for the sample mean, not a boundary for population values. O It is not a correct statement. The interval is an estimate for the population mean, not a boundary for population values. O It is a correct statement. This interval is a great estimate of boundaries for population values. O It is not a correct statement. The interval is an estimate for the sample mean, not a boundary for sample values. (d) Consider the following statement: If the process of selecting a sample of size 50 and then computing the corresponding 95% interval is repeated 100 times, 95 of the resulting intervals will include a. Is this statenent correct? Why or why not? OIt is not a correct statement. We expect 5 out of the 100 intervals to contain the mean. O It is not a correct statement. We expect 95 out of 100 intervals will contain the mean, but we don't know this to be true. O It is a correct statement. Since we are taking the same sample, we expect all intervals to contain the mean. O It is not a correct statement. 90 out of the 100 intervals will contain the mean. O It is a correct statement. This is quaranteed by the definition of confidence interval.

(c) Consider the following statement: We can be highly confident that 95% of all bottles of this type of cough syrup have an alcohol content that is between 7.9 and 9.8. Is this statement correct? Why or why not? O It is a correct statement. This is the definition of a confidence interval. O It is not a correct statenment. The interval is an estimate for the sample mean, not a boundary for population values. O It is not a correct statement. The interval is an estimate for the population mean, not a boundary for population values. O It is a correct statement. This interval is a great estimate of boundaries for population values. O It is not a correct statement. The interval is an estimate for the sample mean, not a boundary for sample values. (d) Consider the following statement: If the process of selecting a sample of size 50 and then computing the corresponding 95% interval is repeated 100 times, 95 of the resulting intervals will include a. Is this statenent correct? Why or why not? OIt is not a correct statement. We expect 5 out of the 100 intervals to contain the mean. O It is not a correct statement. We expect 95 out of 100 intervals will contain the mean, but we don't know this to be true. O It is a correct statement. Since we are taking the same sample, we expect all intervals to contain the mean. O It is not a correct statement. 90 out of the 100 intervals will contain the mean. O It is a correct statement. This is quaranteed by the definition of confidence interval.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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(c) Consider the following statement: We can be highly confident that 95% of all bottles of this type of cough syrup have an alcohol content that is between 7.9 and 9.8. Is this statement correct? Why or why not? O It is a correct statement. This is the definition of a confidence interval. O It is not a correct statement. The interval is an estimate for the sample mean, not a boundary for population values. O It is not a correct statement. The interval is an estimate for the population mean, not a boundary for population values. O It is a correct statement. This interval is a great estimate of boundaries for population values. O It is not a correct statement. The interval is an estimate for the sample mean, not a boundary for sample values (d) Consider the following statement: If the process of selecting a sample of size 50 and then computing the corresponding 95% interval is repeated 100 times, 95 of the resulting intervals will include a. Is this statement correct? Why or why not? O It is not a correct statement. We expect 5 out of the 100 intervals to contain the mean. O It is not a correct statement. We expect 95 out of 100 intervals will contain the mean, but we don't know this to be true. O It is a correct statement. Since we are taking the same sample, we expect all intervals to contain the mean. O It is not a correct statement. 90 out of the 100 intervals will contain the mean. O It is a correct statement. This is guaranteed by the definition of confidence interval.
Transcribed Image Text:(c) Consider the following statement: We can be highly confident that 95% of all bottles of this type of cough syrup have an alcohol content that is between 7.9 and 9.8. Is this statement correct? Why or why not? O It is a correct statement. This is the definition of a confidence interval. O It is not a correct statement. The interval is an estimate for the sample mean, not a boundary for population values. O It is not a correct statement. The interval is an estimate for the population mean, not a boundary for population values. O It is a correct statement. This interval is a great estimate of boundaries for population values. O It is not a correct statement. The interval is an estimate for the sample mean, not a boundary for sample values (d) Consider the following statement: If the process of selecting a sample of size 50 and then computing the corresponding 95% interval is repeated 100 times, 95 of the resulting intervals will include a. Is this statement correct? Why or why not? O It is not a correct statement. We expect 5 out of the 100 intervals to contain the mean. O It is not a correct statement. We expect 95 out of 100 intervals will contain the mean, but we don't know this to be true. O It is a correct statement. Since we are taking the same sample, we expect all intervals to contain the mean. O It is not a correct statement. 90 out of the 100 intervals will contain the mean. O It is a correct statement. This is guaranteed by the definition of confidence interval.
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