A Machine Has Been Designed to Make Nails Which Are

question 138

Multiple Choice

A machine has been designed to make nails which are 8cm long with a standard deviation of 0.15cm. A sample of 48 nails is selected periodically to assess if the length is too variable from the standard of 8cm. From the sample of 48 nails, the mean is found to be 7.983cm. Assume the lengths are normally distributed.
-Give a range for the p-value for this test.

• A)0.01 < p-value < 0.025
• B)0.001 < p-value < 0.005
• C)0.005 < p-value < 0.01
• D)0.10 < p-value < 0.20
• E)p-value > 0.20

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Definitions:

Modal Age

The most frequently occurring age in a given dataset.

Display Behaviours

Observable actions or reactions, often in response to social situations, that communicate something about the individual to others.

Air Pollution

The presence of harmful or excessive quantities of substances, including gases, particulates, and biological molecules, in the Earth's atmosphere, which can lead to health problems and environmental damage.

Cognitive Development

The process of growth and change in intellectual capabilities such as thinking, reasoning, and understanding.