18 (c) Notice that for =90% of the samples, the 95% confidence interval contains the population mean. Choose the 20 correct statement. O When constructing 95% confidence intervals for 20 samples of the same size from the population, exactly 95% of the samples will contain the population mean. O When constructing 95% confidence intervals for 20 samples of the same size from the population, at most 95% of the samples will contain the population mean. When constructing 95% confidence intervals for 20 samples of the same size from the population, it is possible that more or fewer than 95% of the samples will contain the population mean. (d) Choose ALL that are true. If there were a Sample 21 of size n=24 taken from the same population as Sample 11, then the 95% confidence interval for Sample 21 would be narrower than the 95% confidence interval for Sample 11. The 80% confidence interval for Sample 11 is narrower than the 95% confidence interval for Sample 11. This is coincidence; when constructing a confidence interval for a sample, there is no relationship between the level of confidence and the width of the interval. From the 95% confidence interval for Sample 11, we cannot say that there is a 95% probability that the population mean is between 87.6 and 92.2. The 80% confidence interval for Sample 11 does not indicate that 80% of the Sample 11 data values are between 88.4 and 91.4. None of the choices above are true
18 (c) Notice that for =90% of the samples, the 95% confidence interval contains the population mean. Choose the 20 correct statement. O When constructing 95% confidence intervals for 20 samples of the same size from the population, exactly 95% of the samples will contain the population mean. O When constructing 95% confidence intervals for 20 samples of the same size from the population, at most 95% of the samples will contain the population mean. When constructing 95% confidence intervals for 20 samples of the same size from the population, it is possible that more or fewer than 95% of the samples will contain the population mean. (d) Choose ALL that are true. If there were a Sample 21 of size n=24 taken from the same population as Sample 11, then the 95% confidence interval for Sample 21 would be narrower than the 95% confidence interval for Sample 11. The 80% confidence interval for Sample 11 is narrower than the 95% confidence interval for Sample 11. This is coincidence; when constructing a confidence interval for a sample, there is no relationship between the level of confidence and the width of the interval. From the 95% confidence interval for Sample 11, we cannot say that there is a 95% probability that the population mean is between 87.6 and 92.2. The 80% confidence interval for Sample 11 does not indicate that 80% of the Sample 11 data values are between 88.4 and 91.4. None of the choices above are true
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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