Preliminary Data Analyses Indicate That It Is Reasonable to Use $\alpha = 0.05$

question 5

Essay

Preliminary data analyses indicate that it is reasonable to use a t-test to carry out the specified hypothesis test. Performthe t-test using the P-value approach.
-Use a significance level of $\alpha = 0.05$ to test whether $\mu$ differs from12.3. The sample data consist of 20 scores for which $\bar { x } = 10.1$ and $s = 2.2$ . State the null and alternative hypotheses, compute the value of the test statistic, and find the P-value. State your conclusion.

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Definitions:

M'Naghten Rule

The M'Naghten Rule is a legal principle establishing a standard for determining criminal responsibility, based on the defendant's ability to distinguish right from wrong at the time of the crime.

Guilty Mind

A state of mind that indicates a consciousness of wrongdoing, an essential element in establishing liability for a crime.

Disease of the Mind

A legal or medical concept referring to conditions that affect mental functioning, often used to discuss the basis of insanity defenses or mental health conditions.

State of Mind

The condition of a person's mental and emotional state at a specific time, influenced by their thoughts, feelings, and environment.