Gender Selection In a test of the YSORT method of gender selection, 291 babies are born to couples trying to have baby boys, and 239 of those babies are boys (based on data from the Genetics&IVF Institute).

a. If the gender-selection method has no effect and boys and girls are equally likely, find the mean and standard deviation for the numbers of boys born in groups of 291.

b. Is the result of 239 boys unusually high? Does it suggest that the YSORT gender-selection method appears to be effective?

Answer:

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In a test of the YSORT method of gender selection, 291 babies are born to couples trying to have baby boys, and 239 of those babies are boys.

Given, n = 291,

Proportion of boy baby p = = 0.5, q = 1 - p = 1 - 0.5 = 0.5

a. If the gender-selection method has no effect and boys and girls are equally likely, find the mean and standard deviation for the numbers of boys born in groups of 291.

Mean μ = np = 2910.5 = 145.5

Standard deviation σ = = = 8.5293