8.116 Mean age at marriage A random sample of 50 records yields a 95% confidence interval of...

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8.116 Mean age at marriage A random sample of 50 records yields a 95% confidence interval of 21.5 to 23.0 years for the mean age at first marriage of women in a certain county. Explain what is wrong with each of the following interpretations of this interval.

a. If random samples of 50 records were repeatedly selected, then 95% of the time the sample mean age at first marriage for women would be between 21.5 and 23.0 years.

b. Ninety-five percent of the ages at first marriage for women in the county are between 21.5 and 23.0 years.

c. We can be 95% confident that x is between 21.5 and 23.0 years.

d. If we repeatedly sampled the entire population, then 95% of the time the population mean would be between 21.5 and 23.5 years.

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Statistics The Art And Science Of Learning From Data

ISBN: 9781292164878

4th Global Edition

Authors: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

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