Express the null hypothesis $\mathrm { H } _ { 0 }$ and the alternative hypothesis $\mathrm { H } _ { 1 }$ in symbolic form. Use the correct symbol ( $\mu , \mathrm { p }$, $\sigma$ )for the indicated parameter. -Carter Motor Company claims that its new sedan, the Libra, will average better than 30 miles per gallon in the city. Use $\mu$, the true average mileage of the Libra. A) $\begin{array}{l} \mathrm{H}_{0}: \mu=30 \ \mathrm{H}_{1}: \mu30 \end{array}$ B) $\begin{array}{l} \mathrm{H}_{0}: \mu30 \ \mathrm{H}_{1}: \mu \leq 30 \end{array}$ D) $\begin{array}{l} H_{0}: \mu=30 \ H_{1}: \mu

Question

Express the null hypothesis $\mathrm { H } _ { 0 }$ and the alternative hypothesis $\mathrm { H } _ { 1 }$ in symbolic form. Use the correct symbol ( $\mu , \mathrm { p }$, $\sigma$ )for the indicated parameter. -Carter Motor Company claims that its new sedan, the Libra, will average better than 30 miles per gallon in the city. Use $\mu$, the true average mileage of the Libra. A) $\begin{array}{l} \mathrm{H}_{0}: \mu=30 \ \mathrm{H}_{1}: \mu>30 \end{array}$ B) $\begin{array}{l} \mathrm{H}_{0}: \mu<30 \ \mathrm{H}_{1}: \mu \geq 30 \end{array}$ C) $\begin{array}{l} \mathrm{H}_{0}: \mu>30 \ \mathrm{H}_{1}: \mu \leq 30 \end{array}$ D) $\begin{array}{l} H_{0}: \mu=30 \ H_{1}: \mu<30 \end{array}$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) typically represents a statement of no effect or no difference, which in this case is that the true average mileage ($\mu$) is equal to 30 miles per gallon. The alternative hypothesis ($H_1$) represents the claim to be tested, which is that the true average mileage is greater than 30 miles per gallon.

Express the Null Hypothesis H0\mathrm { H } _ { 0 }H0​

Express the Null Hypothesis $\mathrm { H } _ { 0 }$