Do One of the Following, as Appropriate: (A) Find the Critical

question 46

Multiple Choice

Do one of the following, as appropriate: (a) Find the critical value $\mathrm { z } _ { \alpha / 2 }$ , (b) find the critical value $t _ { \alpha / 2 }$ , (c) state that
neither the normal nor the t distribution applies.
- $90 \% ; \mathrm { n } = 9 ; \sigma = 4.2 ;$ population appears to be very skewed.

• A) \(\mathrm { z } _ { \alpha / 2 } = 2.365\)
• B) \(\mathrm { z } _ { \alpha / 2 } = 2.306\)
• C) \(\mathrm { z } _ { \alpha / 2 } = 2.896\)
• D) Neither the normal nor the t distribution applies.

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Definitions:

Pooled Standard Deviation

A method to estimate the standard deviation from several different samples taken from similar populations.

Sample Means

The average value calculated from a sample of a population, used to estimate the population mean.

Zone Boundaries

Defined limits that separate different areas or regions, often used in geographic, environmental, or management contexts.

Pooled Standard Deviation

A method to estimate the overall standard deviation from several different samples or groups, assuming each group has the same variance.