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

question 20

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:

Adult Intelligence

The cognitive capabilities and mental skills of an adult, including problem-solving, reasoning, and memory.

Age 60

A stage in human life often considered the beginning of seniority or the late adulthood phase, with implications for health, work, and social roles.

Pelvic Inflammatory Disease

An infection of the female reproductive organs often caused by sexually transmitted bacteria, leading to inflammation.

Infertility

is the inability to conceive a child after a year or more of regular sexual intercourse without the use of birth control.