Preliminary Data Analyses Indicates That Use of a Paired T-Test $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$

question 30

Essay

Preliminary data analyses indicates that use of a paired t-test is reasonable. Perform the hypothesis test by using eitherthe critical-value approach or the P-value approach as indicated. Assume that the null hypothesis is $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$
-A coach uses a new technique in training middle distance runners. The times, in seconds, for 8 different athletes to run 800 meters before and after this training are shown below. $$\begin{array} { r | r r r r r r r r } \text { Athlete } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } & \text { H } \\ \hline \text { Before } & 109.7 & 112.3 & 109.5 & 118.3 & 111.1 & 120 & 117.1 & 114.6 \\ \hline \text { After } & 110.3 & 111 & 107.1 & 119.1 & 109.3 & 120.1 & 113.5 & 110.7 \end{array}$$ At the 5% significance level, do the data provide sufficient evidence that the training helps to improve times for the 800 meters? Use the critical-value approach.

Recognize and describe different types of pathogens, including viruses, prions, and fungi.

Acknowledge the significance of microbiology in understanding infectious diseases.

Understand the use of staining in the observation and identification of microorganisms.

Demonstrate knowledge of parasitic infections and their impact on human health.

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Definitions:

Financial Theory

The study of economics that examines ways to manage and allocate financial resources, analyzing financial systems and markets.

Economics

The discipline within social science that examines the decision-making process of individuals, governments, companies, and countries in distributing resources to fulfill their desires and requirements.

S Corporations

A special tax status granted to certain corporations, allowing income to be passed through to shareholders and taxed at individual rates.

Proprietorship

A business owned and operated by a single individual, with no legal distinction between the owner and the business.