In Testing the Hypotheses $H _ { 0 } : \mu = 25$

question 113

Essay

In testing the hypotheses: $H _ { 0 } : \mu = 25$ $H _ { 1 } : \mu \neq 25$ ,
a random sample of 36 observations drawn from a normal population, produced a mean of 22.8 and a standard deviation of 10
What is the conclusion for this hypothesis test, at 5% significance level.

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Definitions:

Nitrogen Atom

A chemical element with the symbol N and atomic number 7, known for its role in the formation of amino acids, nucleic acids, and many other organic and inorganic compounds.

Negatively Skewed

A characteristic of a distribution where the tail on the left side of the distribution is longer or fatter than the right side, indicating that the bulk of the values lie to the right side.

Median

The middle value in a sorted list of numbers, dividing the data into two halves.

Mode

The value that appears most frequently in a dataset.