statistic

Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $34,000 and a standard deviation of $2000. What is the cutoff salary for teachers in the bottom 10%?

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  1. Find a Percentile to Z-Score Calculator. You can Google one, and likely there's a table of this in your text.

    That'll tell you how many SD below the mean you have to go.

    I make it about -1.28 standard deviations, so that'll be about 34,000 - (1.28 * 2000)

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  2. Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $34,000 and a standard deviation of $2000. What is the cutoff salary for teachers in the bottom 10%?

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  3. Answer: 31,440

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