In Testing the Hypotheses $H _ { 0 } : \mu = 40$

question 110

Essay

In testing the hypotheses: $H _ { 0 } : \mu = 40$ $H _ { 1 } : \mu \neq 40,$ the following information was given: $\sigma = 5.5 , \quad n = 25 , \quad \bar { x } = 42 , \quad \alpha = 0.10$ , and the sampled population is normally distributed.
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:

Special Type Of Draft

A particular form of negotiable instrument, such as a check or bill of exchange, with specific conditions or purposes.

Electronic Fund Transfer

A digital transaction that moves funds from one account to another without the use of cash or paper checks.

Overdraft

An overdraft occurs when money is withdrawn from a bank account and the available balance goes below zero, leading to a negative balance.

Dishonored Check

A check that a bank refuses to pay or clear, typically because there are insufficient funds in the account on which it is drawn.