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In: Math

An existing inventory for a test measuring self-esteem indicates that the scores have a standard deviation...

An existing inventory for a test measuring self-esteem indicates that the scores have a standard deviation of

10

. A psychologist gave the self-esteem test to a random sample of

100

individuals, and their mean score was

65

. Construct a

99%

confidence interval for the true mean of all test scores. Then complete the table below.

Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a  list of formulas.)

What is the lower limit of the

99%

confidence interval?
What is the upper limit of the

99%

confidence interval?

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