11. The expected mean of a normal population is 80, and its standard deviation is 10. A sample of 50 measurements gives a sample mean of 83. Using the a =.01 level of significance a test is to be made to decide between "population mean is 80" or "population mean is different than 80." a. State null Ho, and alternative Hi, hypotheses. 1P b. What conclusion can be drawn at the given level of significance a= .01? 5p c. What conclusion can be drawn if a = .05? 2p d. What is the p-value of the test? 3p e. Give the definition of type I and II errors. How can we control them? 2p