Answer to Question #333678 in Statistics and Probability for Justine

Question

The lifespan of rats raised in a laboratory is approximately normally distributed with a standard deviation of 5.9 months. A sample of 31 rats reared to adulthood in a laboratory have a mean lifespan of 27.3 months.

a) Find a 95% confidence interval for the population mean of all rats raised in a laboratory.

b) What can we assert with 95% confidence about the possible size of our error if we estimate the mean lifespan of all laboratory rats to be 27.3 months?

c) How large a sample is needed if we wish to be 95% confident that our sample mean will be within 3.5 months of the true mean?

Answer 1

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