The principal of a middle school claims that test scores of the seventh-graders at her school vary less than the test scores of seventh-graders at a neighboring school, which have variation described by $\sigma = 14.7$ A) $\mathrm { H } _ { 0 } : \sigma = 14.7$ $\mathrm { H } _ { 1 } : \sigma 14.7$ $\mathrm { H } _ { 1 } : \sigma \leq 14.7$ C) $H _ { 0 } : \sigma 14.7$ D) $\mathrm { H } _ { 0 : \sigma } = 14.7$ $\mathrm { H } _ { 1 } : \sigma 14.7$

Question

The principal of a middle school claims that test scores of the seventh-graders at her school vary less than the test scores of seventh-graders at a neighboring school, which have variation described by $\sigma = 14.7$ A) $\mathrm { H } _ { 0 } : \sigma = 14.7$ $\mathrm { H } _ { 1 } : \sigma < 14.7$ B) $\mathrm { H } _ { 0 } : \sigma > 14.7$ $\mathrm { H } _ { 1 } : \sigma \leq 14.7$ C) $H _ { 0 } : \sigma < 14.7$ $\mathrm { H } _ { 1 } : \sigma > 14.7$ D) $\mathrm { H } _ { 0 : \sigma } = 14.7$ $\mathrm { H } _ { 1 } : \sigma > 14.7$

Quizplus · Accepted Answer

The principal claims that the test scores of the seventh-graders at her school vary less than the test scores of seventh-graders at a neighboring school, which have variation described by $\sigma = 14.7$. So, the null hypothesis should be $\mathrm { H } _ { 0 } : \sigma = 14.7$ and the alternative hypothesis should be $\mathrm { H } _ { 1 } : \sigma < 14.7$.

The Principal of a Middle School Claims That Test Scores σ=14.7\sigma = 14.7σ=14.7

The Principal of a Middle School Claims That Test Scores $\sigma = 14.7$