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

question 30

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:

Ribosomal Subunits

The two structural components of a ribosome, which join together during protein synthesis; in eukaryotes, commonly referred to as the 40S (small) and 60S (large) subunits.

Golgi Apparatus

An organelle in eukaryotic cells responsible for modifying, sorting, and packaging proteins and lipids for secretion or use within the cell.

Ribosomes

Organelles found in all living cells that are responsible for protein synthesis, decoding the message and forming peptide bonds.

Nucleolus

Somewhat rounded, dense, well-defined nuclear body with no surrounding membrane; contains ribosomal RNA and protein. Plural: Nucleoli.