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.

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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.)
 
 
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