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# The mean of a normally distributed data set is 112, and the standard deviation is 18....

1. The mean of a normally distributed data set is 112, and the standard deviation is 18.
a) Use the Empirical Rule to find the probability that a randomly-selected data value is greater than 130.
b) Use the Empirical Rule to find the probability that a randomly-selected data value is greater than 148.

2. A psychologist wants to estimate the proportion of people in a population with IQ scores between 85 and 130. The IQ scores of this population are normally distributed with a mean of 100 and a standard deviation of 15. Use the Empirical Rule to estimate the proportion.

3. The mean of a normally distributed data set is 112, and the standard deviation is 18.
a) Use the standard normal table to find the probability that a randomly-selected data value is greater than 130.
b) Use the standard normal table to find the probability that a randomly-selected data value is greater than 148.

4. A psychologist wants to estimate the proportion of people in a population with IQ scores between 85 and 130. The IQ scores of this population are normally distributed with a mean of 100 and a standard deviation of 15. Use the standard normal table to estimate the proportion.

5. Why are your answers to questions 8 and 9 not identical to your answers to questions 6 and 7, respectively?

6. The mean of a normally distributed data set is 112, and the standard deviation is 18.
a) Use the standard normal table to find the probability that a randomly-selected data value is greater than 110.
b) Use the standard normal table to find the probability that a randomly-selected data value is less than 100.

Answer #1

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