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# Hypothesis Testing for Population Standard Deviation

10.2
The following information is available.
H0: µ ≤ 10
H1: µ > 10
The sample mean is 12 for a sample of 36. The population standard deviation is 3. Use the .02 significance level.

10.10
H0:  = .40
H1:  ≠ .40
A sample of 120 observations revealed that p = .30. At the .05 significance level, can the null hypothesis be rejected?
a. State the decision rule.
b. Compute the value of the test statistic.
c. What is your decision regarding the null hypothesis?
Note: It is recommended that you use the five-step hypothesis-testing procedure in solving the
following problems.

#### Solution Preview

10.2
The following information is available.
H0: µ ≤ 10
H1: µ > 10
The sample mean is 12 for a sample of 36. The population standard deviation is 3. Use the .02 significance level.

Five step hypothesis test
Step 1
H0: µ ≤ 10
H1: µ > 10

Step 2: Significance level of 0.02 % chosen.

Step 3: Reject Ho and except H1 if z > 2.07 (at 0.02 % Significance level z - value = 2.07)
Step 4: Using this ...

#### Solution Summary

The solution examines hypothesis testing for population standard deviation.

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