To determine the effectiveness of a diet in reducing the amount of cholesterol in the bloodstream, 100 people are put on a diet. After they have been on the diet a sufficient amount of time, their cholesterol count will be taken. The nutritionist running this experiment has decided to endorse the diet if at least 65 people have a lower cholesterol count after going on the diet. What is the probability that the nutritionist endorses the new diet if, in fact, it has no effect on the cholesterol level? (If the diet has no effect on the cholesterol level, then a person's cholesterol level is equally likely to go up or down.) Area of (r) under the standard normal curve to the left of X .01 X .00 .02 .03 .04 .05 .06 .07 .08 .09 2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 .9981 2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986 3.0 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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To determine the effectiveness of a diet in reducing the amount
of cholesterol in the bloodstream, 100 people are put on a diet. After they
have been on the diet a sufficient amount of time, their cholesterol count will
be taken. The utritionist running this experiment has decided to endorse
the diet if at least 65 people have a lower cholesterol count after going on the
diet. What is the probability that the nutritionist endorses the new diet if,
in fact, it has no effect on the cholesterol level? (If the diet has no effect on
the cholesterol level, then a person's cholesterol level is equally likely to go
up or down.)
Area of (x) under the standard normal curve to the left of X
X .00
2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 .9981
2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986
3.0 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990
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.09
Transcribed Image Text:To determine the effectiveness of a diet in reducing the amount of cholesterol in the bloodstream, 100 people are put on a diet. After they have been on the diet a sufficient amount of time, their cholesterol count will be taken. The utritionist running this experiment has decided to endorse the diet if at least 65 people have a lower cholesterol count after going on the diet. What is the probability that the nutritionist endorses the new diet if, in fact, it has no effect on the cholesterol level? (If the diet has no effect on the cholesterol level, then a person's cholesterol level is equally likely to go up or down.) Area of (x) under the standard normal curve to the left of X X .00 2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 .9981 2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986 3.0 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990 .01 .02 .03 .04 .05 .06 .07 .08 .09
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