The expected mean of a continuous population is 200, and its standard deviation is 15. A sample

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The expected mean of a continuous population is 200, and its standard deviation is 15. A sample of 80 measurements gives a sample mean of 205. Using a 0.01 level of significance, a test is to be made to decide between “the population mean is 200” or “the population mean is different from 200.” State or find each of the following:

a. Ho

b. Ha

c. 

d. z(/2)

e.  (based on Ho)

f. x g.  h. x

i. z, z-score for x j. decision k. Sketch the standard normal curve and locate

/2, z(/2), the critical region, and z.

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