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In: Statistics and Probability

Data from the national vital statistics system reveal that the distibution of the duration of human...

Data from the national vital statistics system reveal that the distibution of the duration of human pregnancies is approximately normal with a mean of 270 days and a standard deviation of 17 days

Which of the following statements are true

A. The area under the curve to the left of z= -1.53 is .0630

b. A z-score = 0.25 can be interpreted as a 25% probability that a pregnancy will last 274 days or longer

c. Approximately 14.46% of all pregnancies have a duration less than 252 days

d. the z-score for a pregnancy that has a duration of 275 days(9 months) is 0.29

e. The area under the curve to the left of a z-score = -0.10 is approximately 10%

f. Approximately 98% of all pregnancies have a duration longer than 236 days

g. The z-score for a pregnancy that has a duration of 300 days is 1.76

h. The area under the curve to the right of a z-score = 0.70 is 0.7580

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