Test the Claim That $\sigma ^ { 2 } \leq 28.8 \text { if } \mathrm { n } = 20 , \mathrm {~s} ^ { 2 } = 55.8 , \text { and } \alpha = 0.01 \text {. }$

Essay

Test the claim that $\sigma ^ { 2 } \leq 28.8 \text { if } \mathrm { n } = 20 , \mathrm {~s} ^ { 2 } = 55.8 , \text { and } \alpha = 0.01 \text {. }$ Assume that the population is normally distributed.