# Question

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” and “the population mean is different from 200.” State or find each of the following:

a. Ho

b. Ha

c. a

d. z(a/2)

e. µ (based on Ho)

f. g. σ h. σ x

i. z, z-score for

j. decision

k. Sketch the standard normal curve and locate a/2, z(a/2), the critical region, and z.

a. Ho

b. Ha

c. a

d. z(a/2)

e. µ (based on Ho)

f. g. σ h. σ x

i. z, z-score for

j. decision

k. Sketch the standard normal curve and locate a/2, z(a/2), the critical region, and z.

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