Formulate the null and alternative hypotheses for a hypothesis test. -A car company claims that its new sedan will have a mean gas mileage greater than 28 miles per gallon in the city. A) $\mathrm { H } _ { 0 } : \mu 28 \mathrm { mpg }$ $\mathrm { H } _ { \mathrm { a } } : \mu = 28 \mathrm { mpg }$ B) $\mathrm { H } _ { 0 } : \mu

Question

Formulate the null and alternative hypotheses for a hypothesis test. -A car company claims that its new sedan will have a mean gas mileage greater than 28 miles per gallon in the city. A) $\mathrm { H } _ { 0 } : \mu > 28 \mathrm { mpg }$ $\mathrm { H } _ { \mathrm { a } } : \mu = 28 \mathrm { mpg }$ B) $\mathrm { H } _ { 0 } : \mu < 28 \mathrm { mpg }$ $\mathrm { H } _ { \mathrm { a } } : \mu = 28 \mathrm { mpg }$ C) $\mathrm { H } _ { 0 } : \mu = 28 \mathrm { mpg }$ $\mathrm { H } _ { \mathrm { a } } : \mu < 28 \mathrm { mpg }$ D) $\mathrm { H } _ { 0 } : \mu = 28 \mathrm { mpg }$ $\mathrm { H } _ { \mathrm { a } } : \mu > 28 \mathrm { mpg }$

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 mean gas mileage is equal to 28 mpg. The alternative hypothesis ($H_a$) represents what the car company claims, which is that the mean gas mileage is greater than 28 mpg.

Formulate the Null and Alternative Hypotheses for a Hypothesis Test H0:μ>28mpg\mathrm { H } _ { 0 } : \mu > 28 \mathrm { mpg }H0​:μ>28mpg

Formulate the Null and Alternative Hypotheses for a Hypothesis Test $\mathrm { H } _ { 0 } : \mu > 28 \mathrm { mpg }$