Question

The Carter Motor Company claims that its new sedan, the Libra, will average better than 31 miles per gallon in the city. Assuming that a hypothesis test is conducted to test this claim, identify the null hypothesis H0 and the alternative hypothesis Ha.

Answer 1

Answer:

The null hypothesis   $H_o : \mu = 31$

The alternative hypothesis $H_a : \mu > 31$

Step-by-step explanation:

From the question we are told that

  The population mean is  $\mu = 31 \ miles / gallon$

Generally

   The null hypothesis is that the company's  new sedan, the Libra, will have an average of   $\mu = 31 \ miles / gallon$

This mathematically  represented as

The null hypothesis   $H_o : \mu = 31$

   The alternative hypothesis is that the company's  new sedan, the Libra, will have an average better than   $\mu = 31 \ miles / gallon$

This mathematically  represented as

     The alternative hypothesis $H_a : \mu > 31$