Pregnancy Length Distribution and Mean Analysis - Prof. Patrick S. Murphy, Assignments of Data Analysis & Statistical Methods

Information on the normal distribution of human pregnancy lengths with a mean of 266 days and standard deviation of 14 days. It also includes a calculation of probabilities and z-scores related to a sample of 49 pregnant women with an average pregnancy length of 265 days.

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Pre 2010

Uploaded on 08/03/2009

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Pregnancy Distribution
Sample Mean
The length of human pregnancies from conception to birth varies according to a
distribution that is approximately normal with mean 266 days and standard deviation 14
days. Suppose that a random sample of 49 pregnant women were obtained and the
average length of pregnancy was recorded as 265 days.
1. Clearly, with detail, and using appropriate labeling notation, sketch the distribution
of the length of human pregnancies by hand.
2. Clearly, with detail, and using appropriate labeling notation, sketch by hand the
distribution of the mean lengths of human pregnancies obtained from random samples
of 49 pregnant women.
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Pregnancy Distribution

Sample Mean

The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with mean 266 days and standard deviation 14 days. Suppose that a random sample of 49 pregnant women were obtained and the average length of pregnancy was recorded as 265 days.

  1. Clearly, with detail, and using appropriate labeling notation , sketch the distribution of the length of human pregnancies by hand.
  2. Clearly, with detail, and using appropriate labeling notation , sketch by hand the distribution of the mean lengths of human pregnancies obtained from random samples of 49 pregnant women.

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  1. Use your calculator to answer the following questions. Round your answers to four decimal places. Don’t put down just answers, i.e., show all work! a) What is the probability that a random pregnancy lasts between 200 and 300 days?

b) What percent of mean pregnancy lengths from samples last more than 270 days?

c) How long do the shortest 10% of pregnancies last? Remember to use units of measure in your answer.

d) What is the z-score for the mean pregnancy length derived from the sample at the beginning of this quiz (in the paragraph before question 1)?

e) What proportion of samples have an average pregnancy length lasting less than 250 days?