question archive Suppose that we wish to test Ho : µ=50 versus Ha : µ> 50, where the population standard deviation is known to equal 10

Suppose that we wish to test Ho : µ=50 versus Ha : µ> 50, where the population standard deviation is known to equal 10

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Suppose that we wish to test Ho : µ=50 versus Ha : µ> 50, where the population standard deviation is known to equal 10. Also, suppose that a sample of 90 measurements randomly selected from the population has a mean equal to 55. a) Calculate the value of the test statistic z. b) By comparing z with the critical value, test Ho versus Ha at α=0.05. c) Calculate the p-value for testing Ho versus Ha. d) Use the p-value to test Ho versus Ha at α= 0.1 e) How much evidence is there that Ho : µ=50 is false and Ha : µ> 50 is true?

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