# Hypothesis Testing Practice Problems

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7.45 #5. Find a value, X0, such that µ = 160 and o2 = 256

a)P(X < X0) = 0.16

b) P(X-< X0) = 0.75

7.64 #16. A sample of size n = 20 is randomly selected from a normal population with mean µ = 90 and standard deviation = 5. Find the following:-

a. P (x > 95) the x has a bar over the top on all of the problems a-d in this section

b. P (x < 93)

c. P (82 < x < 91)

d. P (x < 89)

9.17 #4. Consider the following hypothesis test:

H0: µ = 5

Ha: µ = > 5

Assume the test statistics are as shown below. Compute the corresponding p-values and make the appropriate conclusions based on ? = .05.

a. Z = 1.82 b. z = .45 c. z = 1.5

9.18 #7. Consider the following hypothesis test.

H0:µ = 25

Ha:µ ?25

A sample of 80 is used and the population standard deviation is 10. Use ? = 0.05. Compute the value of the test statistic z and specify your conclusion for each of the following sample results.

a. X = 22.0

b. X = 24.0

c. X= 23.5

d. X = 22.8

(x has a bar above it on each of the above problems).

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#### Solution Summary

The solution assists with solving hypothesis testing practice problems.