A census in a particular country reported the distribution of family size shown. a) Find the mean and standard deviation of family size, treating or more" as 6. b) If a random sample of 36 families is taken, would you expect their sizes to follow a Normal model? Explain. c) Consider the mean sizes of random samples of 36 families. Describe the sampling model for these means (shape, centre, and spread). a) The mean is and the standard deviation is (Round to three decimal places as needed.) ... Size 6 or more 5 4 3 2 1 Percent of Families 2.1 6.2 14.9 17.1 31.6 28.1 C

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A census in a particular country reported the distribution of family size shown.
a) Find the mean and standard deviation of family size, treating "6 or more" as 6.
b) If a random sample of 36 families is taken, would you expect their sizes to follow a Normal model? Explain.
c) Consider the mean sizes of random samples of 36 families. Describe the sampling model for these means (shape,
centre, and spread).
a) The mean is and the standard deviation is.
(Round to three decimal places as needed.)
Size
6 or more
5
4
3
1
Percent of Families
2.1
6.2
14.9
17.1
31.6
28.1
D
Transcribed Image Text:A census in a particular country reported the distribution of family size shown. a) Find the mean and standard deviation of family size, treating "6 or more" as 6. b) If a random sample of 36 families is taken, would you expect their sizes to follow a Normal model? Explain. c) Consider the mean sizes of random samples of 36 families. Describe the sampling model for these means (shape, centre, and spread). a) The mean is and the standard deviation is. (Round to three decimal places as needed.) Size 6 or more 5 4 3 1 Percent of Families 2.1 6.2 14.9 17.1 31.6 28.1 D
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