Question

The amounts of vitamin C (in milligrams) for 100g (3.57 ounces) of various randomly selected fruits and vegetables are listed. Is there sufficient evidence to conclude that the standard deviation differs from 12 mg? Use alpha = 0.10. Use a graphing calculator with the program SDHYP and the P-value method. Source: Time Almanac 2012. State the hypotheses and identify the claim with the correct hypothesis. H_0: sigma H_1: sigma This hypothesis test is a (select) test.

Answer 1

H0: sigma=12

H1:sigma≠12

This hypothesis test is a two tailed test.

Explanation:

The null value described in the statement is 12 mg. So, the null hypothesis would be sigma=12. As the statement states that whether there is sufficient evidence to conclude that standard deviation differs from 12 mg, so the alternative hypothesis would be sigma ≠12. The alternative hypothesis contains inequality sign so, the hypothesis test is a two tailed test.