Consider the Hypotheses $H _ { 0 } : \mu = 950$

question 45

Essay

Consider the hypotheses $H _ { 0 } : \mu = 950$ $H _ { 1 } : \mu \neq 950$ .
Assume that $\mu = 1000 ,$ $\alpha = 0.10$ $\sigma = 200$ , and n = 25 and $\beta$ = 0.6535
Recalculate $\beta$ if $\alpha$ is lowered from 0.10 to 0.05.

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Definitions:

Inferential Statistics

The branch of statistics that allows one to make predictions or inferences about a population based on a sample of data taken from that population.

Normal Distribution

A statistical distribution where data is symmetrically distributed around the mean, forming a bell-shaped curve.

Random Sampling

Sampling in which every member of a population has an equal chance to be selected and in which selection is determined by “luck of the draw” rather than a decision by the researcher.

Degrees

Units of measurement for angles in a circle or for temperature; in the context of education, it refers to academic qualifications.