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# The solution to Hypothesis testing of Mean: Five step method

1. Determine whether the hypothesis test for each claim is left-tailed, right-tailed, or two tailed. Explain your reasoning.

Lung Cancer: A government report claims that the proportion of lung cancer cases that are due to smoking is 87%

2. Testing Claims.

(a) write the claim mathematically and identify H0 and Ha.
(b) find the critical values and identify the rejection regions
(c) find the standardized test statistic
(d) Decide whether to reject or fail to reject the null hypothesis
(e) interpret the decision in the context of the original claim

Sodium Content in Cereal: In your work for a national health organization, you are asked to monitor the amount of sodium in a certain brand of cereal. You find that a random sample of 52 cereal servings has a mean sodium content of 232 milligrams with a standard deviation of 10 milligrams. At a= 0.04, can you conclude that the mean sodium content per serving of cereal is greater than 230 milligrams?

3. Find the critical value(s)for the indicated test for a population variance, sample size n, and level of significance a.

Right-tailed test,
n= 27, a= 0.05

two-tailed test,
n= 16, a= 0.10

#### Solution Summary

The solution provides step by step method for the calculation of test statistic for population mean and critical values for testing population variance. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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