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:

Land Use Restriction

Regulations that govern how land can be used in specific areas to control development and preserve the environment.

Diminishes Value

Refers to any action or occurrence that lessens or reduces the worth or perceived worth of something, often used in legal and commercial contexts.

Governmental Taking

In law, the act of a government seizing private property for public use, often with compensation to the owner.

Unconstitutional Conditions

The principle that the government cannot condition the receipt of a government benefit or the ability to participate in a government program upon the waiver of a constitutionally protected right.