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.

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Answer:

The null hypothesis   [tex]H_o : \mu = 31[/tex]

The alternative hypothesis [tex]H_a : \mu > 31[/tex]

Step-by-step explanation:

From the question we are told that

  The population mean is  [tex]\mu = 31 \ miles / gallon[/tex]

Generally

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

This mathematically  represented as

The null hypothesis   [tex]H_o : \mu = 31[/tex]

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

This mathematically  represented as

     The alternative hypothesis [tex]H_a : \mu > 31[/tex]

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