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1. If the mean for scores on an exam is 72, and the standard deviation is 10, what is the z-score for a 79?

2. I take a sample of 26 people who tell me their scores on an IQ test.  My sample has a mean of 108 and a standard deviation of 12.  Starting with the lower limit, I am 95% confident that the true population mean lies between  and .

3.  A critic of Brooklyn College states that the mean high school GPA of newly admitted freshmen is 80.   You run a hypothesis test to show that the true population mean is different from 80.   The mean is 81.09, the standard deviation is 6.01; and your sample size is 10.   What is the value of t?  (Remember to round to hundredths).

4. A critic of Brooklyn College states that the mean high school GPA of newly admitted freshmen is 80.   You run a hypothesis test to show that the true population mean is different from 80.   Using the t-test table, and an alpha-level of 0.05, and the sample given in question 13, what is critical t?

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