Jenny Is Conducting a Hypothesis Test Concerning a Population Mean $\begin{array} { l } \mathrm { H } _ { 0 } : \mu = 50 \\ \mathrm { H } _ { \mathrm { a } } : \mu > 50 \end{array}$

question 52

Essay

Jenny is conducting a hypothesis test concerning a population mean. The hypotheses are as follows.

$\begin{array} { l } \mathrm { H } _ { 0 } : \mu = 50 \\ \mathrm { H } _ { \mathrm { a } } : \mu > 50 \end{array}$
She selects a sample and finds that the sample mean is $54.2$ . She then does some calculations and is able to make the following statement: If $\mathrm { H } _ { 0 }$ were true, the chance that the sample mean would have come out as big ( or bigger) than $54.2$ is $0.3$ . Do you think that she should reject the null hypothesis? Why or why not?

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Definitions:

Perceptual Tendencies

The natural biases or inclinations in the way people perceive and interpret information from their environment.

Sensing

The process of receiving and interpreting information through the five senses to understand and interact with the environment.

Gathering Data

The process of collecting information or facts from various sources to be used for analysis or decision-making.

Big Picture

An overall perspective or an understanding of how all the parts of a situation, project, or problem fit together.