1. Describe an original example of a situation in which one would use the z-test. Do not use any of the examples discussed in class or in the text. Make sure that your answer contains enough detail to determine whether the z-test would indeed be appropriate.

1. The population mean of heart beats per minute is 76. A random sample of 100 subjects yields a mean heart beats per minute rate of 73. Use the z-test to determine whether the sample is representative of the population?

1. Coach Kikbutt believes that the 12 basketball players on her current team are more accurate with their free throw shooting than her players from previous years. She knows from free throw shooting drills in years past that the mean number of successful shots out of 100 is 78 with a standard deviation of 7. Her present team obtains a mean of 82. Usinga = .01 and a two-tailed test, answer the following questions.

1. What is Coach Kikbutt's null hypothesis written mathematically?
2. What is Coach Kikbutt's nondirectional alternative hypothesis written mathematically?
3. What is the critical value of z?
4. What is the standard error of the sampling distribution of the mean?
5. What is the obtained value of z?
6. Should Coach Kikbutt retain or reject the null hypothesis?
7. In words that refer to the question Coach Kikbutt wants to answer, what should she conclude?