And the likelihood of being between those values is approximately zero. So Uh but just to do the actual calculation that comes out to be 26.48 And this was. This is supposed to be a Z value right here by the way, and this one is going to be even bigger. And this first see value comes out to be 26.4, that's huge. All right, so we have 8 78.5 minus that mean of 4 72.5 divided by that standard deviation of 15.37. I have no idea how that character came that way. And then divided by the standard deviation and likewise the same thing right here, in that 879.5 minus the four and the z values are going to be out of the world. And so we know that for the z value, we'll take what we got and that's supposed to be an aid minus what we're assuming. So we want to use the normal approximation to a binomial to find out what's the likelihood of having 879 girls, if these parameters are true, which means if we use the continuity correction, we need to go down half a unit and go up have a unit. And we find out that that calculation comes out to be 15.37. Q being the probability of a boy, which would also be 0.5. And then we know our standard deviation is the square root of n times p times Q. And then the mean amount would be that N times P and that is 472.5 for the mean. And we want to find if there is no uh this method does not increase the chance of girls, then we would assume that He is equal 2.5 for both girls and boys. So we have a sample of 945 babies and they actually got in their sample, they ended up having 879 girls. Based on the results, does it appear that the XSORT method is effective? Why or why not? Which probability is relevant for trying to determine whether the XSORT method is effective: the result from part (a) or the result from part (b)?ĭ. If boys and girls are equally likely, is 879 girls in 945 births unusually high?Ĭ. Find the probability of getting 879 or more girls in 945 births. Find the probability of getting exactly 879 girls in 945 births.ī. In analyzing these results, assume that the XSORT method has no effect so that boys and girls are equally likely.Ī. In updated results (as of this writing) of the XSORT gender-selection technique, 945 births consisted of 879 baby girls and 66 baby boys (based on data from the Genetics \
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