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.

Question

Mathematics

Javon Cook

21 June, 22:41

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.

+2

Answers (1)

Know the Answer?

Chaim Maldonado · Answer 1

A.

sigma > 22500

B.

Null hypothesis:sigma = 22500

Alternative hypothesis:sigma > 22500

Step-by-step 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