Summary Statistics Are Given for Independent Simple Random Samples from Two

question 76

Multiple Choice

Summary statistics are given for independent simple random samples from two populations. Preliminary data analysesindicate that the variable under consideration is normally distributed on each population. Decide whether use of thepooled t-test and pooled t-interval procedure is reasonable. Explain your answer.
- $\bar { x } _ { 1 } = 143.9 , \mathrm {~s} _ { 1 } = 17.2 , \mathrm { n } _ { 1 } = 7 , \bar { x } _ { 2 } = 212.9 , \mathrm {~s} _ { 2 } = 47.7 , \mathrm { n } _ { 2 } = 17$

• A)Reasonable; the sample standard deviations suggest that the two population standard deviations are equal.
• B) Reasonable; the sample standard deviations suggest that the two population standard deviations differ, however since the sample sizes are roughly equal, it is reasonable to use the pooled t-test.
• C) Not reasonable; the sample standard deviations suggest that the two population standard deviations are equal, however since the sample sizes are not roughly equal, it is not reasonable to use the pooled t-test.
• D) Not reasonable; the sample standard deviations suggest that the two population standard deviations differ and the sample sizes are not roughly equal.

Grasp the importance of appropriately framing messages using introductory dependent clauses, and recognizing the structure of well-written sentences.

Identify the significance of labeling main ideas and ensuring paragraph unity for clear communication.

Understand the importance of conducting research (primary or secondary) in preparing effective business documents.

Recognize the importance of employing specific transitional words to indicate the nature of relationships among ideas.

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Definitions:

VARs

Volt-Ampere Reactive, a unit of measure for reactive power in an AC electrical system, representing energy stored and released in a cycle.

NEMA Motor

An electric motor manufactured to meet standards set by the National Electrical Manufacturers Association, ensuring compatibility and performance specifications.

General Purpose

Designed for a wide range of activities or uses rather than specialized purposes.

Power

The rate at which electrical energy is transferred by an electric circuit.