# It has been claimed that the

**Question description**

It has been claimed that the mean weight of individual boxes of a type of cereal is 16 ounces. A grocery manager does not believe the claim and collects a sample of 50 boxes. A sample mean of 15.8 ounces results. Test at significance level 0.05 the null hypothesis that the population mean weight is 16 ounces against the alternative that it is not equal to 16 ounces. Let the population variance be equal to 2.5 ounces^{2}. Make a decision about the validity of the claim using both the critical value as well as the p-value criterion.

**Step 1: ****Write the null & alternative hypotheses (4 pts.)**

**Step 2:**** Write the significance level of the test (1 pt.)**

**Step 3:**** write the appropriate test-statistic **

**Step 4:**** Find the calculated value of the test-statistic or plug & chug **

**Step 5-1: **** Find and write the critical value of the test **

**Step 6-1:**** Write your decision about this test. **

**Step 5-2:**** Write the formula for the p-value and then calculate the p-value of the test **

**Step 6-2** **Make a decision using the p-value criterion and announce that decision **

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