Question

Claim: High School teachers have incomes with a standard deviation that is more than $22,500. A recent study of 126 high school teacher incomes shower a standard deviation of $24,500.

A. Express the original claim in symbolic form.

B. Identify the null and the alternative hypotheses that should be used to arrive at the conclusion that supports the claim.

Answer 1

A.

sigma > 22500

B.

Null hypothesis:sigma = 22500

Alternative hypothesis:sigma > 22500

Explanation:

A.

The claim states that the standard deviation of high school teachers income is more than 22,500. This can be represented in the symbolic form as sigma > 22500.

B.

The null hypothesis and alternative hypothesis for the given scenario can be written as

Null hypothesis: Standard deviation of income of high school teachers is 22,500.

The standard deviation is represented as sigma.Symbolically it can be written as

Null hypothesis: sigma = 22500

Alternative hypothesis: Standard deviation of income of high school teachers is more than 22,500.

Symbolically it can be written as

Alternative hypothesis: sigma > 22500