Question

The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls.

Answer 1

The accompanying table and the range rule of thumb show that 1 girl is a significantly low number of girls because 1 girl is less than the minimum value that is not significant.

How to depict the information?

x.        p(x).      xp(x).

0 0.002   0         0.0516

1 0.016 0.016 0.2665

2 0.039 0.078 0.3702

3 0.113 0.339 0.4894

4 0.205  0.82 0.2396

5 0.241 1.205 0.0016

6 0.196  1.176 0.1655

7 0.113 0.791 0.4161

8 0.041 0.328 0.3493

9 0.012  0.108 0.1843

10 0.022 0.22 0.5323

Total = 1   5.1         3.066

Maximum value of range will be:

= 5.1 + [2*1.75]

= 5.1 + 3.5

= 8.6

Minimum value of range will be:

= 5.1 - [2*1.75]

= 5.1 - 3.5

=1.6

Therefore, 1 girl is a significantly low number of girls, because 1 girl is less than the minimum value that is not significant.

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