A machine is used to fill bottles with16 ounces of a liquid. The machine has a standard deviation of 0.2 ounces. A sample of 15 bottles is taken from a 500 bottle run and are tested for the amount of liquid in the bottle. The sample has a mean of 11.75 ounces in each bottle. 99% confidence level. what is the null hypothesis

Respuesta :

Answer:

The null hypothesis is  [tex]H_o : \mu = 16[/tex]

Step-by-step explanation:

From the question we are told that

  The standard deviation is [tex]\sigma = 0.2 \ ounce[/tex]

   The sample size is  n =  15

    The population size is N = 500

     The sample mean is  [tex]\= x = 11.75 \ ounce[/tex]

    The population mean is  [tex]\mu = 16\ ounce[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally the null hypothesis is  [tex]H_o : \mu = 16[/tex]