Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be...





Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a​ girl, but assume that the method has no​ effect, so the probability of a girl is
0.5.

Assume that the groups consist of
45

couples. Complete parts​ (a) through​ (c) below.





a. Find the mean and the standard deviation for the numbers of girls in groups of
45

births.


The value of the mean is
μ=

22.522.5.


​(Type an integer or a decimal. Do not​ round.)

The value of the standard deviation is
σ=

3.43.4.


​(Round to one decimal place as​ needed.)

b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high.


Values of


15.815.8

girls or fewer are significantly low.

​(Round to one decimal place as​ needed.)

Values of


29.229.2

girls or greater are significantly high.

​(Round to one decimal place as​ needed.)

c. Is the result of
39

girls a result that is significantly​ high? What does it suggest about the effectiveness of the​ method?


The result



is not





significantly​ high, because
39

girls is



less than







29.229.2

girls. A result of
39

girls would suggest that the method


is not effective.





​(Round to one decimal place as​ needed.)







Jun 08, 2022
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