A Manufacturer of Industrial Plywood Has a Contract to Supply

question 18

Multiple Choice

A manufacturer of industrial plywood has a contract to supply a boat maker with a large amount of plywood.One of the specifications calls for the standard deviation in thickness to not exceed .03 inch.A sample of n = 30 sheets was sampled randomly from a recent production run.The mean thickness was right at the 3/4 inch target thickness and the sample standard deviation was .05 inch.Testing at the 0.05 level of significance,which of the following is true?

• A)The test statistic is approximately 80.56.
• B)The critical value is approximately χ² = 43.773.
• C)The test statistic is approximately 48.333.
• D)Based on the sample data,there is no evidence to suggest that the plywood is not meeting the specifications.

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Definitions:

Simple Events

Events that consist of a single outcome or occurrence, making them one of the most basic types of probabilistic events.

Compound Event

A type of event that combines two or more simple events, usually by "and" or "or" operations.

Probability

A measure of the likelihood that a specific event will occur, expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Relative Frequency

A measure indicating how often a certain value, event, or outcome occurs in relation to the total number of cases observed.