The Mean Gross Annual Incomes of Certified Tack Welders Are

question 120

Multiple Choice

The mean gross annual incomes of certified tack welders are normally distributed with the mean of $50,000 and a standard deviation of $4,000. The ship building association wishes to find out whether their tack welders earn more or less than $50,000 annually. The alternate hypothesis is that the mean is not $50,000.
Given the following megastat printout, what conclusions can be made?

• A) There is a 1.68% chance of getting these sample results if the annual income is actually $50,000.
• B) Since the p-value is 7%, we reject the null hypothesis at a 5% level of significance.
• C) Since the p-value is 9%, we have insufficient evidence to reject the null hypothesis at the 5% level of significance.
• D) Since the p-value is 9%, we reject the null hypothesis at the 1% level of significance.
• E) None of these statements are correct.

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Definitions:

Scientific Theories

Systematically organized knowledge applicable in a relatively wide variety of circumstances, especially a system of assumptions, accepted principles, and rules of procedure to analyze, predict, or explain the natural phenomena.

Inconsistent Statement

A situation where two or more statements are contradictory, making them unable to be true at the same time.

Truth Values

The attribution of either _true_ or _false_ to propositions, in logic.

Antecedent Statement

A statement that comes before another in a logical sequence, often providing a cause or reason for the subsequent statement.