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 5 of μ ? Use the value 22 for the population standard deviation of scores on this subsection.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you're interested in the mean score,
, 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
. What is the minimum
confident that your estimate is within
of
? Use the value
for the population standard deviation of scores on this subsection.
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