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

question 40

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 light-bulb manufacturer advertises that the average life for its light bulbs is 900 hours.
A random sample of 15 of its light bulbs resulted in the following lives in hours. $$\begin{array} { l l l l l l l l } 995 & 590 & 510 & 539 & 739 & 917 & 571 & 555 \\916 & 728 & 664 & 693 & 708 & 887 & 849 &\end{array}$$ At the 10% significance level, test the claim that the sample is from a population with a mean life of 900 hours. Use the P-value method of testing hypotheses.

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Definitions:

Radioisotopes

Radioactive isotopes of an element, used in various scientific, medical, and industrial applications due to their radioactive decay properties.

Cancer Therapy

Medical treatment specifically designed to treat cancer by inhibiting the growth of cancerous cells, using methods such as chemotherapy, radiation, or surgery.

Agricultural Herbicides

Chemical substances used to control or eliminate unwanted vegetation (weeds) in farming, to improve crop yields.

Physical Reactions

Changes in the state or properties of matter that do not involve a change in its chemical composition, such as melting, freezing, and evaporating.