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

question 5

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. $$\begin{array}{l}\text { A random sample of } 15 \text { of its light bulbs resulted in the following lives in hours. }\\\begin{array} { l l l l l l l l } 995 & 590 & 510 & 539 & 739 & 917 & 571 & 555 \\916 & 728 & 664 & 693 & 708 & 887 & 849 & \\\hline\end{array}\end{array}$$ 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:

Acupuncture

A form of traditional Chinese medicine involving the insertion of thin needles into specific points on the body to relieve pain or treat various conditions.

Qi Gong

An ancient Chinese exercise and healing technique involving meditation, controlled breathing, and movement exercises.

Tai Chi

A Chinese martial art and form of gentle physical exercise consisting of slow, deliberate movements combined with deep breathing and meditation.

Arthritis

A general term for conditions that affect the joints and surrounding tissues, causing pain, swelling, and stiffness.