Assume That a Simple Random Sample Has Been Selected from a Normally

question 21

Essay

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use either the traditional method or P-value method as indicated.
Identify the null and alternative hypotheses, test statistic, critical value(s)or P-value (or range of P-values)as appropriate, and state the final conclusion that addresses the original claim.
A cereal company claims that the mean weight of the cereal in its packets is 14 oz. The weights (in ounces)of the cereal in a random sample of 8 of its cereal packets are listed below. $$\begin{array} { l l l l l l l l } 14.6 & 13.8 & 14.1 & 13.7 & 14.0 & 14.4 & 13.6 & 14.2\end{array}$$ Test the claim at the 0.01 significance level.

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Definitions:

Gestalt Therapy

A type of psychotherapy that highlights the importance of personal accountability and concentrates on a person's current experiences.

Frederick (Fritz) Perls

A noted psychiatrist and psychotherapist known as one of the founders of Gestalt therapy, which emphasizes personal responsibility and living in the present moment.

Sigmund Freud

An Austrian neurologist who is best known for founding psychoanalysis, a method for treating psychopathology through dialogue between a patient and a psychoanalyst.

Biological Treatments

Therapeutic interventions that affect the biological functions of the body, such as medication or electroconvulsive therapy.