In Testing the Hypotheses $H _ { 0 } : \mu = 60$

question 88

Essay

In testing the hypotheses $H _ { 0 } : \mu = 60$ . $H _ { 1 } : \mu < 60$ .
the following information was given: $\sigma = 5 , \quad n = 100 , \quad \bar { x } = 59 , \quad \alpha = 0.05$ .
a. Calculate the value of the test statistic.
b. Set up the rejection region.
c. Determine the p-value.
d. Interpret the result.

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Definitions:

Group Norms

Shared guidelines or rules for behavior that most group members follow, dictating what is considered normal or acceptable within the group.

Cohesiveness

The quality of forming a united whole, often referring to the sense of solidarity or loyalty among members of a group.

Role Responsibility

encompasses the duties and obligations associated with a particular role or position within an organization or society.

Criminal Penalties

Punishments that may include fines, imprisonment, or other sentences imposed by a court for violations of criminal laws.