In a Manufacturing Process a Random Sample of 9 Bolts

question 81

Multiple Choice

In a manufacturing process a random sample of 9 bolts manufactured has a mean length of 3cm with a standard deviation of .3cm.Assuming bolt length is normally distributed,what is the 95% confidence interval for the true mean length of the bolt?

• A)2.804 to 3.196
• B)2.308 to 3.692
• C)2.770 to 3.231
• D)2.412 to 3.588
• E)2.814 to 3.186

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Definitions:

Sampled Population

A subset of individuals or items selected from the larger population for the purpose of statistical analysis.

Population Parameter

A characteristic or measure that describes an aspect of an entire population, such as the mean or variance.

Sample Statistic

A numerical measure that describes an aspect of a sample drawn from a population.

Standard Deviation

A statistic that measures the dispersion or variability of a dataset relative to its mean.