# Statistics Examples

, , , ,

Step 1

The z-score converts a non-standard distribution to a standard distribution in order to find the probability of an event. For the z-score of the distribution of means, the standard deviation is divided by the square root of the sample size.

Step 2

Fill in the known values.

Step 3

Step 3.1

Multiply the numerator by the reciprocal of the denominator.

Step 3.2

Multiply by .

Step 3.3

Subtract from .

Step 3.4

Divide by .

Step 3.5

Multiply by .

Step 4

Since the claim is for an exact value of the mean, use the two tailed test.

Step 5

The critical value represents the z-score that provides a significance level of , since use the normal distribution.

Step 6

Since the z-score of the test statistic is less than the critical value, there is sufficient evidence to support the hypothesis.