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Computing value of test statistic

Consider the following hypothesis test:

Ho: u > 20 (( their is a line under this sine >))
Ha: u < 20
A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2.
a. Compute the value of the test statistic.
b. What is the p-value?
c. Using a = .05, what is your conclusion?
d. What is the rejection rule using the critical value? What is your conclusion?

And

Consider the following hypothesis test:
Ho: u = 22
Ha: u =22 ( their is a line throw the = sine hare )

A sample of 75 is used and the population standard deviation is 10. Compute the p-value
and state your conclusion for each of the following sample results. Use a = .01.
a. i = 23
b. i = 25.1
c. i = 20.

Solution Preview

A) this is one tailed z test, since population standard deviation is known
z (19.4-20)/(2/sqrt(50)) -2.121320344

B)
P 0.016947427

C) since P value is less than 0.05, we reject Ho

D)
Critical z ...

Solution Summary

The solution assists with computing the value of the test statistic.

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