Question

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

Answer 1

The null hypothesis is
`H_o : \mu = 16`

Explanation:

From the question we are told that

The standard deviation is
`\sigma = 0.2 \ ounce`

The sample size is n = 15

The population size is N = 500

The sample mean is
`\= x = 11.75 \ ounce`

The population mean is
`\mu = 16\ ounce`

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

`\alpha = (100 - 95 ) \%`

=>
`\alpha = 0.05`

Generally the null hypothesis is
`H_o : \mu = 16`