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Let X be a normal random variable with parameters μ= 8 and ? = 3.5. Find...

Let X be a normal random variable with parameters μ= 8 and ? = 3.5. Find the following three probabilities.

  • p(x < 3)
  • p(x > 11)
  • p(3 < x < 11.5)

Resource: Finding Normal Probability

(Part ii) A sample of 40 IWU freshmen had a mean GPA of 2.8 overall their courses taken in their first semester at IWU. This sample had a standard deviation of .25. Perform a hypothesis test at α = 0.05 to determine if the first semester GPA of all IWU freshmen is less than a B (3.0). Make sure to report on the steps a - f listed above.

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