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azamat
3 years ago
9

A machine is used to fill containers with a liquid product. Fill volume can be assumed to be normally distributed. A random samp

le of ten containers is selected, and the net contents (oz) are as follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98, 11.96, 12.02, 12.05, and 11.99.
(a) Suppose that the manufacturer wants to be sure that the mean net contents exceeds 12 oz. What conclusions can be drawn from the data (use α= 0.01).

(b) Construct a 95% two-sided confidence interval on the mean fill volume.
Mathematics
1 answer:
motikmotik3 years ago
3 0

Answer:

There is no statistical evidence at 1% level to accept that    the mean net contents exceeds 12 oz.

Step-by-step explanation:

Given that a random sample of ten containers is selected, and the net contents (oz) are as follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98, 11.96, 12.02, 12.05, and 11.99.

We find mean = 11.015

Sample std deviation = 3.157

a) H_0: \bar x= 12 oz\\H_a: \bar x >12

(Right tailed test)

Mean difference /std error = test statistic

\frac{11.015-12}{\frac{3.157}{\sqrt{10} } } \\=-0.99

p value =0.174

Since p >0.01, our alpha, fail to reject H0

Conclusion:

There is no statistical evidence at 1% level to accept that    the mean net contents exceeds 12 oz.

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AleksandrR [38]
I am not very good you should probably ask someone else sorry
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3 years ago
Help please!!!!!!!!!!!
kvasek [131]

Answer:

B. 2/3

Step-by-step explanation:

To solve this we have to take into account this axioms:

- The total probability is always equal to 1.

- The probability of a randomly selected point being inside the circle is equal to one minus the probability of being outside the circle.

Then, if the probabilities are proportional to the area, we have 1/3 probability of selecting a point inside a circle and (1-1/3)=2/3 probability of selecting a point that is outside the circle.

Then, the probabilty that a random selected point inside the square (the total probability space) and outside the circle is 2/3.

3 0
3 years ago
Please help me for this question
rosijanka [135]

The volume of the given trapezoidal prism is 312 cubic units.

Step-by-step explanation:

Step 1:

To find the volume of a trapezoidal prism, we multiply the area of the trapezoidal surface with the height of the prism.

The area of a trapezoidal surface, A = \frac{a+b}{2} (h).

a and b are the lengths of the upper and lower bases and h is the height of the trapezoid.

For the given trapezoid, a is 5 units long and b is 8 units long while height, h is 4 units.

The area of the trapezoidal surface, A =  \frac{5+8}{2} (4) = 6.5(4) = 26.

So the area of the trapezoidal surface is 26 square units.

Step 2:

To determine the volume of the prism, we multiply the area of the trapezoidal surface with the height of the prism.

The area is 26 square units and the height of the prism is 12 units.

The volume of the prism, V= 26(12) = 312.

The volume of the given trapezoidal prism is 312 cubic units.

7 0
3 years ago
A rectangular yard is 20 feet by 15 feet. The yard Is covered with grass except for an 8.5 feet. Square flower garden. How much
stich3 [128]

Answer: 227.75\ ft^2

Step-by-step explanation:

<h3> The complete exercise is: "A rectangular yard is 20 ft by 15 ft. The yard is cover with grass except for 8.5 feet square flower garden. How much grass is in the yard?"</h3><h3 />

The area of a rectangle can be calculated with the following formula:

A=lw

Where "l" is the lenght of the rectangle and "w" is the width.

Based on the data given in the exercise, you can identify tha the length and the width of the rectangular yard are:

l=20\ ft\\\\w=15\ ft

Then, you can substitute these values into the formula and then evaluate in order to find the area of the entire yard:

A_y=(20\ ft)(15\ ft)=\\\\A_y=300\ ft^2

The area of the flower garden which is an square, can be calculated with this formula:

A=s^2

Where "s" is the side length.

 In this case you know that:

s=8.5\ ft

Then the area of the flower garden is:

A_g=(8.5\ ft)^2\\\\A_g=72.25\ ft^2

<em> </em>Since this is not covered with grass, you need to subtract both areas calculated above in order to find the surface covered with grass in the yard.

This is:

A_g=300\ ft^2-72.25\ ft^2\\\\A_g=227.75\ ft^2

4 0
3 years ago
.....................
Fynjy0 [20]

The pen and banana were impulse, because he didn't go to the store to buy them.. he added that while he was in the checkout line.

Answer is B.

5 0
3 years ago
Read 2 more answers
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