Quart cartons of milk should contain at least 32 ounces. A sample of 22 cartons was taken and amount of milk in ounces was recorded. We would like to determine if there is sufficient evidence exist to conclude the mean amount of milk in cartons is less than 32 ounces?

We use the one sample t test for this

Step-by-step explanation:

In this question, we are to determine if there is sufficient evidence to conclude that mean amount of milk in cartons is less than 32 ounces.

What we will use to determine if there is sufficient evidence is the t-test.

why?

we will have to to use t test because the hypothesis is on the mean and sample size is less than 30 i.e 22 < 30

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.