52 A random sample of 50 records yields a 95% confidence interval for the mean age at first mamage of women in a certain county of 21.5 to 23.0 years. 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 inaniage for women in the county are between 21.5 and 23.0 years

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

d) If we repeatedly sampled the entire population, then 95% of the time the population incan would be between 21.5 and 235 years