The accompanying table describes results from groups of 10 births from 10 differ
ID: 3307377 • Letter: T
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.
Use the range rule of thumb to identify a range of values that are not significant.
The maximum value in this range is __ girls (round to one decimal place as needed)
Probability Distribution for x Number of Girls x 0 P(x) 0.006 0.014 0.038 0.112 0.196 0.247 0.208 0.115 0.039 0.018 0.007 7 10Explanation / Answer
Solution:- The maximum usual value is 8.4.
The range rule of thumb for the maximum usual value is given by the formula below, where and are the mean and standard deviation, respectively, for a probability distribution.
maximum usual value = + 2
= 5.042 + 2(1.6853)
= 8.4126
The minimum usual value is 1.7.
minimum u sual value = – 2
= 5.042 - 2(1.6853)
= 1.6714
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