Answer to Question #335745 in Statistics and Probability for anjoann

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 life span

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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