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Sam C.

Elementary Statistics a Step by Step Approach

6 days, 5 hours ago

In this problem, we are given, that is equals to .6 q hat is .4 and for the first part of the problem we are given. N is 60 point and we want to know the probability that the random sample, showing less than half, have tried to lose weight. That is, we are figuring out b at x, with random sample less than equal to .5. Let us convert it into standard variable, be .5 minus the mean mean will be taken as had divided by the standard deviation. Sigma n, here, sigma n, will be equal to square root of p dash into q dash by n, which comes as 0.0632 now. Solving the problem we have is that less than equal to this is minus .1 by .0632, or this is p z, less than equal to minus 1.58, which comes as 0.057 for part b. We follow the same logic, but we take n as 200 and we get probability of z less than equal to minus of 2.8868, and this comes as 0.01. This is 0.001946 point. This is the probability, so we see that as we increase the sample size, the probability of its falling below or less than half have tried to lose weight decreases, as we can see from 0.05 center. It goes to even loo.

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