A Lathe Is Set to Cut Bars of Steel into Lengths

question 41

Short Answer

A lathe is set to cut bars of steel into lengths of 6 centimeters. The lathe is considered to be in perfect adjustment if the average length of the bars it cuts is 6 centimeters. A sample of 121 bars is selected randomly and measured. It is determined that the average length of the bars in the sample is 6.08 centimeters with a standard deviation of 0.44 centimeters.
a. Formulate the hypotheses to determine whether or not the lathe is in perfect adjustment.
b. Compute the test statistic.
c. Using the p-value approach, what is your conclusion? Let α = .05.

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Definitions:

Nominal Scale

A scale of measurement used in research that involves categorizing variables into non-numerical categories without a defined order or hierarchy.

Ordinal

Pertaining to a category of data or scale type that expresses a sequential order without indicating the exact difference between the levels.

Trait Approach

A psychological perspective emphasizing that personality is composed of stable characteristics (traits) that influence an individual's thoughts, feelings, and behaviors.

Absolute Levels

Absolute levels are fixed reference points or values that remain constant across different contexts or comparisons, often used in measurements or evaluations.