Espanor A personality test has a subsection designed to assess the "honesty" of the est-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 s the minimum sample size needed in order for you to be 90% confident that your estimate is within 2 of μ? Use the value 23 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). If necessary, consult a list of formulas.)

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Espanol
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 90% confident that
your estimate is within 2 of μ? Use the value 23 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).
(If necessary, consult a list of formulas.)
□
Transcribed Image Text:Espanol 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 90% confident that your estimate is within 2 of μ? Use the value 23 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). (If necessary, consult a list of formulas.) □
Expert Solution
Step 1

Given 

Level of significance ɑ=0.10, standard deviations σ=23, margin of error=e=2

 

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