A Machine Cuts Steel to Length for Nails

question 113

Short Answer

A machine cuts steel to length for nails. The mean length of a nail is 43 millimeters. There is concern that the settings of the machine producing the nails have changed. To test the claim, twelve nails (n = 12) were sampled. The mean of the sample is 41.5 and the standard deviation 1.784. To decide if the sample data support the claim that mean length is 43 millimeters, state your decision in terms of the null hypothesis. Use a 0.02 level of significance.

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Definitions:

Noise

Unwanted or irrelevant information or sound that interferes with the communication or detection of a signal.

Decoding

The process of interpreting or giving meaning to a message, often involving understanding symbols, language, or gestures.

Jargon

Specialized terminology associated with a specific field or area of expertise, often incomprehensible to those outside the field.

Nonverbal Questions

Inquiries or probes that are communicated without the use of spoken language, often through gestures, facial expressions, or body language.