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With your newly-developed statistical tools, you decide to put this hypothesis to the test. You know...

  1. With your newly-developed statistical tools, you decide to put this hypothesis to the test. You know that the standard intelligence quotient (IQ) score has a population mean of 100 with a standard deviation of 15. You find that a random sample of 121 Lakers fans has an average IQ score of 103. Use this evidence to test your roommate’s argument that Lakers fans are more intelligent than the general population.

  1. (1 point) In symbols or words, what is the null hypothesis for this test? _____________

  1. (1 point) In symbols or words, what is the alternative hypothesis for this test? _______

  1. (1 point) Is this a one-sided or two-sided test? How do you know? _________________

  1. (1 point) Will you use a z-test or a t-test in this situation? Why? ___________________

  1. (1 point) What is the critical value of the test statistic given an α level of 0.05? ______

  1. (2 points) What is the value of the test statistic calculated from the sample results?

  1. (2 points) What is your decision about the null hypothesis, and what does this indicate about the intelligence of Bears fans relative to the average person?________________

  1. (3 points) Would your decision be different if you used an alpha level of .01? Explain.

Math   Statistics-And-Probability   
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