ruLL SCREEN PRINTER VERSION €BACK NEXT Unit 2, Topic 09, Exercise 9-14 Pregnancy
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ruLL SCREEN PRINTER VERSION €BACK NEXT Unit 2, Topic 09, Exercise 9-14 Pregnancy Durations Suppose the durations of human pregnancies follow a mound-shaped distribution with a mean of 269 days and a standard deviation of 16 days a. Approximately what percentage of human pregnancies last between 253 and 285 days? 1% 95% of all human pregnancies tall? Convert these values to months b.Between what two values will the durations of (with decimals), assuming the typical month has 30 days. Round your answers to one decimal place. Enter your answers in increasing order The durations of 95% of all t man pregnancies last between and months. Suppose also that the durations of horse pregnancies follow a mound-shaped distribution with a mean of 337 days and a standard deviation of 4 days. c. Is a horse or a human more likely to have a pregnancy that lasts within 8 days of its mean? Explain briefly. that lasts within 8 days of its mean because the standard deviation foris days. Click if you would like to Show Work for this question: Open Show Work you will learn while you earn points based on the Point Potential Policy set by your instructor Question Attempts: 0 of 3 used SAVE FOR LATER SURMIT ANSWER Earn Maximum Points available only if you answer this question correctly in two attempts or lessExplanation / Answer
The empirical rule, also known as the three-sigma rule or the 68-95-99.7 rule, provides a quick estimate of the spread of data in a normal distribution given the mean and standard deviation. Specifically, the empirical rule states that for a normal distribution:
68% of the data will fall within one standard deviation of the mean.
95% of the data will fall within two standard deviations of the mean.
Almost all (99.7%) of the data will fall within three standard deviations of the mean.
Human Pregnancies, mean = 269 and sd = 16
a) mean - 1Sigma = 253
mean + 1Sigma = 285
Hence, approximately 68%
b)
2Sigma = 2*16 = 32
269 - 32 = 237 i.e. 237/30 = 7.9 months
269 + 32 = 301 i.e. 301/30 = 10.0 months
c)
As sd of horse is 4 days, there is 2-sigma area lies between +/-8 days, hence 95% probability. Whereas for human this is not even 1-sigma area, hence probability is less than 68%.
A horse is more likely to have a preganancey that lasts withing +/-8 days of its mean because the sd for human is 16 days.
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