Question: When testing a method of gender selection prior to childbirth, we assume that the rate of female births is 50%, and we reject that assumption

When testing a method of gender selection prior to childbirth, we assume that the rate of female births is 50%, and we reject that assumption if we get results that are unusual in the sense that they are very unlikely to occur with a normal 50% birth rate. In a preliminary test of the XSORT method of gender selection during in-vitro fertilization, 15 births resulted in 14 girls.

  • a. Assuming a 50% rate of female births, find the probability that in 15 births, the number of girls is 14.

  • b. Assuming a 50% rate of female births, find the probability that in 15 births, the number of girls is 15.

  • c. Assuming a 50% rate of female births, find the probability that in 15 births, the number of girls is 13 or fewer.

  • d.Assuming a 50% rate of female births, find the expected number (i.e. mean) of girls in 15 births.

  • e. Assuming a 50% rate of female births, find the standard deviation of the number of girls in 15 births.

  • f. Using the range rule of thumb, find the minimum usual value and maximum usual value for the number of girls in 15 births.

  • g. Do these preliminary results suggest that the XSORT method is effective in increasing the likelihood of a baby being a girl? Why or why not?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!