In Testing the Hypotheses

question 38

Short Answer

In testing the hypotheses:
H0: μ = 25
HA: μ  25
a random sample of 36 observations was drawn from a normal population. The sample standard deviation is 10 and the sample mean is 22.8.
Can we conclude at the 5% significance level that the population mean is not significantly different to 25?

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Definitions:

MT

Another term for Modus Tollens, it is the form of logical argument implying the inverse of a conclusion based on the negation of its consequence.

HS

An abbreviation often referring to Hypothetical Syllogism, a logical argument form using two conditional statements to deduce a conclusion.

Inference Forms

Patterns of reasoning where the conclusion logically follows from premises.

Inference Forms

Patterns of reasoning that determine the validity of an argument by analyzing its structure.