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A Test Of H0:μ=65H _ { 0 } : \mu = 65

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A test of H0:μ=65H _ { 0 } : \mu = 65 versus H1:μ<65H _ { 1 } : \mu < 65 is performed using a significance level of α=0.05\alpha = 0.05 . The PP -value is 0.0550.055 .
If the true value of μ\mu is 65 , does the conclusion result in a Type I error, a Type II error, or correct decision?

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Definitions:

Population Mean

The average of all the individuals or items in a population, calculated as the sum divided by the total number in the population.

Degrees Of Freedom

The number of independent values or quantities which can vary in the analysis without violating any constraints.

Margin Of Error

An expression of the amount of random sampling error in a survey's results, which describes a confidence interval’s radius around a survey’s result within which the true population parameter lies.

Population Standard Deviation

A measure of the dispersion or spread of all values within a population, quantifying how much the values differ from the population mean.

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