assume that different groups of couples use a particular method of gender - selection and each couple gives…

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 23 couples. complete parts (a) through (c) below.\na. find the mean and the standard deviation for the numbers of girls in groups of 23 births.\nthe value of the mean is μ = 11.5\n(type an integer or a decimal. do not round.)\nthe value of the standard deviation is σ = 2.4\n(round to one decimal place as needed.)\nb. use the range - rule of thumb to find the values separating results that are significantly low or significantly high.\nvalues of 6.7 girls or fewer are significantly low\n(round to one decimal place as needed.)\nvalues of girls or greater are significantly high\n(round to one decimal place as needed.)

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 23 couples. complete parts (a) through (c) below.\na. find the mean and the standard deviation for the numbers of girls in groups of 23 births.\nthe value of the mean is μ = 11.5\n(type an integer or a decimal. do not round.)\nthe value of the standard deviation is σ = 2.4\n(round to one decimal place as needed.)\nb. use the range - rule of thumb to find the values separating results that are significantly low or significantly high.\nvalues of 6.7 girls or fewer are significantly low\n(round to one decimal place as needed.)\nvalues of girls or greater are significantly high\n(round to one decimal place as needed.)

Answer

Explanation:

Step1: Recall range - rule - of - thumb formula

The range - rule - of - thumb for significant values is $\mu\pm2\sigma$. Significantly high values are $\mu + 2\sigma$ or greater, and significantly low values are $\mu-2\sigma$ or lower. We know that $\mu = 11.5$ and $\sigma=2.4$.

Step2: Calculate the significantly high value

We use the formula $\mu + 2\sigma$. Substitute $\mu = 11.5$ and $\sigma = 2.4$ into the formula: $11.5+2\times2.4=11.5 + 4.8=16.3$.

Answer:

16.3