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# Example 96

Example 96: Researchers conducted a study on the age of sexual debut for different genders and ethnic groups. For the Euro-American males surveyed the average age at the time of first intercourse was 16.61 years old. The standard deviation was 2.33 years old. We are interested in the average age at the time of first intercourse for groups of 33 randomly selected Euro-American males. Use this information to answer the questions below:

a. What is the mean of the sample means for randomly selected groups of 33 Euro-American males? What is the standard deviation of the sample means for groups of 33 Euro-American males? (i.e. – what is the standard error of the sample means?)

b, Find the probability of a sample of 33 randomly selected Euro-American males having an average age at the time of first intercourse greater than 17.