The length of human pregnancies from conception to birth varies according to a d
ID: 3040891 • Letter: T
Question
The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with mean 261 days and standard deviation 10 days. Use the 68-95-99.7 rule to answer the following questions. (a) Between what values do the lengths of the middle 95% of all pregnancies fall? 261 Changed: Your submitted answer was incorrect. Your current answer has not been submitted. and 10 Incorrect: Your answer is incorrect. days (b) How short are the shortest 2.5% of all pregnancies? days or less How long do the longest 2.5% of pregnancies last? days or more
Explanation / Answer
According to 68-95-99.7 rule, 68%, 95% and 99.7% data values lie within 1, 2 and 3 standard deviations of mean respectively
A) The middle 95% pregnancies will fall between
261-2x10 and 261+2x10
= between 241 and 281 days
B) The shortest 2.5% is below 2 standard deviations of mean = below 241 days
The longest 2.5% is above 2 standard deviations of mean = above 281 days
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