A Machine Has Been Designed to Make Nails Which Are

question 107

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 and the standard deviation is known to be 0.15cm.Compute the 95% confidence interval for the population mean nail length.

• A)[7.947,8.019]
• B)[7.941,8.025]
• C)[7.933,8.033]
• D)[7.955,8.011]
• E)[7.916,8.050]

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Definitions:

Denseness

In mathematics, it pertains to the property where every part of a given space is arbitrarily close to some element of a specific subset.

SPSS

A comprehensive software package used for statistical analysis, widely used in social science research for data management and analysis.

Fisher's LSD

A method developed by Ronald Fisher for performing multiple comparisons among means, typically used after an ANOVA to identify differences between pairs of means.

Type I Error

The incorrect rejection of a true null hypothesis in statistical hypothesis testing, also known as a "false positive."