Question: In an European country, the average number of children in a family is = 1.24, with standard deviation of = 1.26. Suppose you sample 120

In an European country, the average number of children in a family is = 1.24, with standard deviation of = 1.26. Suppose you sample 120 families and calculate the mean number of children.

(a) (6 points) What percentage times you will get a mean larger than 1? (b) (6 points) Now suppose you don't know the value of , but you still know = 1.26. You sample 63 families and you observe the average number of children is 3.142. Calculate a 95% confidence interval for .

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