# 5 Step Hypothesis Test

Test the null hypothesis that a population mean is 50 against the alternate hypothesis that the mean is not 50.

The data is of ratio level.

A sample of 400 showed a sample mean of 51.5 and a sample standard deviation of 10.

Use the full, formal hypothesis testing format.

What "model" should be used and why?

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#### Solution Preview

5-Step Hypothesis Test

Step1: State the Null and Alternate Hypothesis:

Null Hypothesis: The population mean is 50.

H_0: μ=50

Alternate Hypothesis: The population mean is not 50.

H_a: μ≠50

Step2: Formulate an Analysis Plan:

Since the data has been measured in ratio scale and sample size, n > 30, the distribution can be assumed to be a normal ...

#### Solution Summary

The solution provides step-by-step method of performing a 5 step hypothesis test. All the steps of hypothesis testing (formulation of null and alternate hypotheses, selection of significance level, choosing the appropriate test-statistic, decision rule, calculation of test-statistic and conclusion) have been explained and the statistical analysis has been shown in details. The calculations have also been shown in Interactive EXCEL sheet for better understanding.