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A random sample of 60 married couples who have been married 7 years was asked the number of children they have. The results of
A random sample of 60 married couples who have been married 7 years was asked the number of children they have. The results of the survey are shown. Complete parts (a) through (c) below. 0 0 0 3 3 3 1 3 2 2 3 1 3 2 4 0 3 3 3 1 0 2 3 3 1 4 2 3 1 3 3 5 0 2 3 0 4 4 2 2 3 2 2 2 2 3 4 3 2 2 1 4 3 2 4 2 1 2 3 2 (a) What is the shape of the distribution of the sample mean? Why? A. The distribution is skewed left because the right tail is longer than the left tail. B. The distribution is approximately normal because of the Law of Large Numbers. C. The distribution is approximately normal because of the Central Limit Theorem. D. The distribution is skewed right because the right tail is longer than the left tail. (b) Compute a 95% confidence interval for the mean number of children of all couples who have been married 7 years. Interpret this interval. One can be 95% confident that all couples who have been married for 7 years have a mean number of children between (Type integers or decimals rounded to two decimal places as needed. Use ascending order.) and
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