A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you're interested in the mean score, μ , on this subsection among the general population. You decide that you'll use the mean of a random sample of scores on this subsection to estimate μ . What is the minimum sample size needed in order for you to be 95% confident that your estimate is within 3 of μ ? Use the value 22 for the population standard deviation of scores on this subsection. Carry your intermediate computation

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A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you're interested in the mean score,
μ
, on this subsection among the general population. You decide that you'll use the mean of a random sample of scores on this subsection to estimate
μ
. What is the minimum sample size needed in order for you to be
95%
confident that your estimate is within
3
of
μ
? Use the value
22
for the population standard deviation of scores on this subsection.

Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).

 

 

 

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