# Question

The Gallup organization conducted a survey and asked, “What do you think is the ideal number of children for a family to have?” The results of the survey are shown in the table.

Ideal Number of Children .... Frequency

0 ........... 15

1........... 31

2 ........... 525

3 ........... 256

4 ........... 66

5 ........... 10

6 ........... 4

7 ........... 3

8 ........... 1

9 ........... 0

10 ........... 3

11 ........... 1

(a) Construct a relative frequency histogram for the ideal number of children. Comment on the shape of the distribution.

(b) What is the mode ideal number of children?

(c) Determine the mean and standard deviation number of children. Round your answers to the nearest hundredth.

(d) Explain why a large sample size is needed to perform any inference regarding this population.

(e) In May 1997, the ideal number of children was considered to be 2.64. Do the results of this poll indicate that people’s beliefs as to the ideal number of children have changed? Use α = 0.05.

Ideal Number of Children .... Frequency

0 ........... 15

1........... 31

2 ........... 525

3 ........... 256

4 ........... 66

5 ........... 10

6 ........... 4

7 ........... 3

8 ........... 1

9 ........... 0

10 ........... 3

11 ........... 1

(a) Construct a relative frequency histogram for the ideal number of children. Comment on the shape of the distribution.

(b) What is the mode ideal number of children?

(c) Determine the mean and standard deviation number of children. Round your answers to the nearest hundredth.

(d) Explain why a large sample size is needed to perform any inference regarding this population.

(e) In May 1997, the ideal number of children was considered to be 2.64. Do the results of this poll indicate that people’s beliefs as to the ideal number of children have changed? Use α = 0.05.

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