State What the Given Confidence Interval Suggests About the Two $\left( \bar { x } _ { 1 } - \bar { x } _ { 2 } \right)$

question 86

Multiple Choice

State what the given confidence interval suggests about the two population means.
-A hypothesis test is to be performed to test the equality of two population means. The sample sizes are large and the samples are independent. Give an expression for the population standard deviation of the $\left( \bar { x } _ { 1 } - \bar { x } _ { 2 } \right)$ values in terms of $\mathrm { s } _ { 1 } , \mathrm {~s} _ { 2 } , \mathrm { n } _ { 1 } \text {, and } \mathrm { n } _ { 2 }$

• A) \(\sqrt { \frac { s _ { 1 } ^ { 2 } } { n _ { 1 } } + \frac { s _ { 2 } ^ { 2 } } { n _ { 2 } } }\)
• B) \(\sqrt { \frac { s ^ { 2 } } { 1 } }\)
• C) \(\sqrt { \frac { \mathrm { s } _ { 1 } ^ { 2 } } { \mathrm { n } _ { 1 } } - \frac { \mathrm { s } _ { 2 } ^ { 2 } } { \mathrm { n } _ { 2 } } }\)
• D) \(\frac { \mathrm { s } _ { 1 } ^ { 2 } } { \mathrm { n } _ { 1 } } + \frac { \mathrm { s } _ { 2 } ^ { 2 } } { \mathrm { n } _ { 2 } }\)
• E) \(\frac { 1 } { n } + \frac { s } { n _ { 2 } }\)

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Definitions:

Fishery

A stock of fish or other marine animal that is composed of a distinct group, for example New England cod, Pacific tuna, or Alaskan crab.

Fisheries Management

A process that involves regulating the amount and method of fishing to ensure sustainable fish populations and marine ecosystems.

Catch Sizes

The quantity of fish or other marine life caught in a single fishing effort or period.

Catch Season

The specific time period during which the harvesting of fish or other aquatic species is legally permitted or is most productive.