Test the Claim That $\sigma ^ { 2 } > 17.1 \text { if } \mathrm { n } = 18 , \mathrm {~s} ^ { 2 } = 24.3 , \text { and } \alpha = 0.01$

question 71

Essay

Test the claim that $\sigma ^ { 2 } > 17.1 \text { if } \mathrm { n } = 18 , \mathrm {~s} ^ { 2 } = 24.3 , \text { and } \alpha = 0.01$ Assume that the population is normally distributed.

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Definitions:

Radiolarian

Microscopic, planktonic marine organisms with intricate silica skeletons, used as paleoclimatic indicators.

Mineral-based Shell

A hard, protective outer layer created by some organisms, composed primarily of minerals.

Flagella

Long, whip-like structures that protrude from the cell body of certain cells, such as bacteria and sperm, used for locomotion.

Photosynthetic

Relating to the process by which green plants and certain other organisms use sunlight to synthesize nutrients from carbon dioxide and water.