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.

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Definitions:

Motor Circuits

Electrical circuits specifically designed to control the operation of electric motors.

Overcurrent

A condition where the current exceeds the maximum allowable current for a circuit or device, potentially leading to damage or operation failure.

Overload Conditions

Situations where electrical or mechanical systems are subjected to a load greater than their design capacity, potentially causing damage or failure.

Electrical Current

The flow of electric charge through a conductor, typically measured in amperes, fundamental to the operation of electrical devices and circuits.