Quart cartons of milk should contain at least 32 ounces. a sample of 20 cartons contained the following amounts in ounces. does sufficient evidence exist to conclude the mean amount of milk in cartons is less than 32 ounces at the 5% significance level?
the data is: (32.5, 32.4, 31.8, 28.4, 27.3, 27.2, 28.3, 31.7, 32.8, 31.5, 27.5, 31.8, 28.6, 27.4, 31.7, 32.7, 28.7, 32.1, 32.3, 27.9)
select the [p-value, decision to reject (rh0) or failure to reject (frh0)].
a)  [p-value = 0.997, frh0]
b)  [p-value = 0.002, rh0]
c)  [p-value = 0.003, rh0]
d)  [p-value = 0.003, frh0]
e)  [p-value = 0.997, rh0]

B) [p-value = 0.002, RH0]

Step-by-step explanation:

In order to calculate the p-value, we need to find t from the data:

Where, mean is the average of the data set, u is the comparative value (32), sd is the standard deviation and n is the number of elements.

And the standard deviation is:

∑

mean=30.23

sd=2.2

t=-3.59

From the t-table with degrees of freedom= df = n-1=19 we get a p-value of 0.002

We a significance level of 5%, or α=0.05

So we have two options:

In this case 0.002<0.05 or option B.

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "

1

step-by-step explanation:

it's the only multiple of both and the least