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.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

8/k

step-by-step explanation: