If $\mathrm { s } _ { 1 } = 5.89 , \mathrm { n } _ { 1 } = 31 , \mathrm {~s} _ { 2 } = 5 , \text { and } \mathrm { n } _ { 2 } = 25$

Essay

If $\mathrm { s } _ { 1 } = 5.89 , \mathrm { n } _ { 1 } = 31 , \mathrm {~s} _ { 2 } = 5 , \text { and } \mathrm { n } _ { 2 } = 25$ test whether the population standard deviations differ at the α = 0.10level of significance. Assume the populations are normally distributed.