A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 417 gram setting. It is believed that the machine is underfilling the bags. A 13 bag sample had a mean of 415 grams with a standard deviation of 30. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Answers

Answer 1

Answer:

P value = 0.407

Hence, as P-value (0.407) is greater than 0.1

Fail to reject Null hypothesis

Step-by-step explanation:

Given the data in the question;

sample size n = 13

sample mean x" = 415

standard deviation s = 30

level of significance = 0.1

so;

Null hypothesis H₀ : μ = 417

Alternative hypothesis Hₐ : μ < 417

degree of freedom DF = n - 1 = 13 -1 = 12

Rejection Region { level of significance = 0.1, df = 12 }

critical value of t is - 1.356 as { left tailed test }

Test Statistics;

t = (x" - μ) / [tex]\frac{s}{\sqrt{n} }[/tex]

we substitute

t =  (415 - 417) / [tex]\frac{30}{\sqrt{13} }[/tex]

t = -2 / [tex]\frac{30}{\sqrt{13} }[/tex]

t = -0.24

so, from table;

P value = 0.407

Hence, as P-value (0.407) is greater than 0.1

Fail to reject Null hypothesis


Related Questions

Find the value of z in parallelogram CDEF

Answers

Answer:

z = 13

Step-by-step explanation:

Opposite sides of a parallelogram are equal. Therefore:

3z = z + 26

Subtracf z from each side

3z - z = 26

2z = 26

z = 26/2

z = 13

can somebody help me with this homework?

Answers

Answer:

121.1/1.6%

Step-by-step explanation:

subtarct the given numebrs to get 121.1

Divide 123.06 from 121.1, multiply by 100, and you have 101.6, rate of change take away the hundred value to get 1.6%

Hope this helps and makes sense

please help me asap!!

Answers

Answer:

1 square unit

Step-by-step explanation:

its easy

1 * 1 = 1

3x + 7x - 8 = -19

can someone please help me with this math problem

Answers

Combine like terms
3x+7x= 10x
10x-8= -19
+ 8. +8

10x= -11
————
10. 10

x= -1.1

Answer:

x= -1.1

Step-by-step explanation:

first combine like terms

3x+7x=10x

10x-8=-19

+8 on both sides

10x= -11

divide by 10

x= -1.1

check the answer

10(-1.1)-8= -19

-11-8= -19 its true

Translate the following phrases into mathematical statements.
r ) is less than or equal to ten.

s )is more than negative one

t ) isn't the same as negative
five.

x ) is at most negative three.

y )is never one.

Answers

Answer:

[tex]r \le 10[/tex]

[tex]s > -1[/tex]

[tex]t \ne 5[/tex]

[tex]x \le -3[/tex]

[tex]y \ne 1[/tex]

Step-by-step explanation:

Required

Translate to mathematical statements

a) r is less than or equal to ten.

less than or equal means [tex]\le[/tex]

So, the expression is:

[tex]r \le 10[/tex]

b) s is more than negative one

More than means >

So, the expression is:

[tex]s > -1[/tex]

c) t isn't the same as negative  five.

isn't the same means not equal to ([tex]\neq[/tex])

So, the expression is:

[tex]t \ne 5[/tex]

d) x is at most negative three.

At most means [tex]\le[/tex]

So, the expression is:

[tex]x \le -3[/tex]

e) y is never one.

is never means not equal to ([tex]\neq[/tex])

So, the expression is:

[tex]y \ne 1[/tex]

for each ordered pair determine wheatear it is a solution to 2x

Answers

all you have to do is plug in the x and y values for each ordered pair into the left hand side of the equation and see if you get 15 = 15. If you do, the ordered pair is a solution; otherwise it is not a solution. For example, let's try (-2,-3); that is x = -2 and y = -3:

2x - 9y = 15
2(-2) - 9(-3) = 15
-4 - (-27) = 15
-4 + 27 = 15
23 = 15

This is obviously not true, so (-2,-3) is not a solution. Now you try it on each of the ordered pairs given in the problem statement.

Identify the missing digit: 5_8x6-3528

Answers

Answer:

The missing digit is 8

Step-by-step explanation:

3528/6 = 588

Answer:

the missing digit is 8

Step-by-step explanation:

3528÷6=588.

^

True or false

what is always true about an isosceles triangle

1.one of the angles is 90 degrees

2.at least two angles are congruent

3.all of its sides are congruent

4.at least two sides are congruent

5.all of its angles are congruent

Answers

4. at least two sides are congruent

What is the equation for the line of reflection? ​

Answers

x=6

hopefully im not wrong^^

2. In the figure, is an exterior angle to triangle .

(a) What is the angle measurement of Angle 3. Explain the angle relationship you used.
(b) What is the angle measurement of Angle 4. Explain the angle relationship you used.
(c) What is angle relationship between angles 3 & 4? What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar between the two? What is different?
(d) The combination of which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.
Answer:

PLZ JUST SHOW YOUR WORK ON A PICE OF PAPER AND PLZ LABLE THEM A, B, C, D IF YOU DO U WILL BR MARKED BRAINLY'S.

Answers

Answer:a

Step-by-step explanation:

⇒ d + e + f = b + a + a + c + b + c

⇒ d +e + f = 2a + 2b + 2c

= 2(a + b + c)

But, according to triangle angle sum theorem,

a + b + c = 180 degrees

Therefore, ⇒ d +e + f = 2(180°)

= 360°

Answer:

I only know a and b so don't hate me...

Step-by-step explanation:

Part A)

 Angle 3 is 103° because 77° + ∠3= 180° and  ∠3 = 180° - 77° = 103°

Part B)

Angle 4 is 77° because ∠3 + ∠4 = 180° and  ∠4 = 180° - 103° = 77°

a moving box in the shape of a right rectangular prism has a base area of 5 5/8 ft² and a height of 3 1/5 ft what is the volume of the moving box​

Answers

Answer:

18 ft^3

Step-by-step explanation:

The volume of a right rectangular prism is the area of the base multiplied by the height.

V = Ah

V = (5 5/8 ft^2) * (3 1/5 ft)

First, we convert the mixed numerals into fractions.

V = 45/8 ft^2 * 16/5 ft

Now we multiply the fractions.

V = (45 * 16)/(8 * 5) ft^3

Factor 45 into 5 * 9. Factor 16 into 2 * 8.

V = (5 * 9 * 2 * 8)/(8 * 5) ft^3

We can divide the numerator and denominator by 5 and by 8 before doing the multiplications.

V = (9 * 2)/1 ft^3

V = 18 ft^3

Noah bought 3 cans of paint and 1/2 of a pint of special paint additive formulated to reduce mildew. Before painting his house, he divided the additive equally among the 3 cans of paint. How much additive did he put in each can?

Answers

Step-by-step explanation:

Amount of additive in each can

= Total amount of additive / Number of cans

= (1/2 of a pint) / (3)

= 1/6 of a pint.

Noah put 1/6 of a pint of additive in each can.

Find the value of xxx in the triangle shown below

Answers

THIS ANSWER WAS DELTED FROM  BRAINLY

Question: Find the value of xxx in the triangle shown below

Answer: Pg.21607062  

Brainly.com

2-19-21

Answer:

x = 70

Step-by-step explanation:

4. The area of a rectangle is (x2+8x + 12) cm. If the
length of the rectangle is (x + 6) cm, show that is
breadth is (x + 2) cm.​

Answers

Answer:

★ Given :

Area of triangle = x² + 8x + 12 cm²

length = (x+6)cm

★ To show :

breadth = (x+2) cm

★ Solution :

We know that,

Area of a rectangle = length × breadth

by putting values

(x² + 8x + 12) = (x+6) × breadth

by diving (x² + 8x + 12) into factors

using middle term splitting

x² + 6x + 2x + 12

x(x+6) + 2(x+6)

= (x+2)(x+6)

(x+2)(x+6) = (x+6) × breadth

Hence, verified..

Answer:

hope it helped have a good day mate

Edwin drove at a constant speed and traveled 182.4 miles in 3 hours. What is his rate in miles per hour?

Answers

182.4 miles/ 3 hours=

60.8 miles per hour is your answer.

which equation is equivalent to
y + 2(x + 5) = 4x + 5
a) y = 2x + 20
b) y = -4x + 5
c) y = 2x - 5
d) y = 5x + 2

Answers

Answer:

C

Step-by-step explanation:

y + 2x + 10 = 4x + 5

y = 4x - 2x + 5 - 10

y = 2x - 5

Answer- C

Find the quotient. Answer as a decimal.
–6 ÷ 1
1
3
3
1

Answers

Answer:

≈ -0.0005

Step-by-step explanation:

20 PTSS !!!
PLEASE HELPP !!

Answers

Because it is extremely hard to find the area of this figure all together, it would be in our best interest to split this figure up into three different pieces: the two horizontal rectangles, and the verticle rectangle. We can find the area of all three and add them up. Be aware that there are two different ways that you can break this figure up, As shown in the attachments. I will be using the first image (the one with the tall horizontal rectangles, NOT the almost-squares).

So, we see that we have enough information to solve for the area of the left-most rectangle. Area = lw. 10 x 4 = 40, so the area is 40. Next, we have to notice, that the horizontal rectangles are also the same, so both of the areas of the two horizontal rectangles are 40.

Now, we can find the middle rectangle. We know that the length of the entire thing is 18, but it is taken up by 8 (4+4) of the horizontal triangles, so 18-8=10, so the length Is 10. We also know that the height of the horizontal rectangles is 10, so 10-3=7. Our dimensions for the rectangle are 10x7 or 70 square units. If we add them all together, 40+40+70=150.

The area is 150 square units

Divide the product of 22 and 27 =

Answers

0.81 have a nice day !

When converted to speeds, which list is in order from slowest to fastest?
17 miles in 2 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes;
60 miles in 8 minutes
17 miles in 2 minutes;
60 miles in 8 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes
33 miles in 6 minutes;
26 miles in 4 minutes;
60 miles in 8 minutes;
17 miles in 2 minutes
60 miles in 8 minutes;
33 miles in 6 minutes;
26 miles in 4 minutes;
17 miles in 2 minutes

Answers

Simplified in order of how you listed:

1. 5.5miles/ min (33 miles in 6 minutes)
2. 6.5miles/min (26 miles in 4 minutes)
3. 7.5 miles/ min (60 miles in 8 minutes)
4. 8.5miles/min (17 miles in 2mins)

1.101^3 in normal form

Answers

Answer:

The answer is 1,101.

Step-by-step explanation:

1.101 ^ 2 = 11.01

And 1.101 ^ 4 = 11,010.

Select the correct answer.
The table represents quadratic function g. Which statement is true about the function?
-5
-4
-3
-2
-1
0
- 1
0
-1
-4
-9
- 16
A.
The maximum occurs at the function's x-intercept.
B.
The minimum occurs at the function's x-intercept.
C.
The maximum occurs at the function's y-intercept.
D.
The minimum occurs at the function's y-intercept.

Answers

i’m pretty sure the answer is c

If gasoline costs $3.28 per gallon, how much would 15.5 gallons cost?

Answers

Answer:

$50.84

Step-by-step explanation:

By multiplying $3.28 × 15.5 = $50.84

Does side lengths 4, 8 and 12 form a right triangle?

Answers

Answer:

No it does not form a triangle.

Step-by-step explanation:

If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.

no it doesn’t form a right triangle

Find tan e
53
45
8
28
A. B.
Ο Ο
D.
< PREVIOUS

Answers

TAN: 45/28

SIN: 45/53

COS: 28/53

sin(x°) = opposite/hypotenuse

cos(x°) = adjacent/hypotenuse

tan(x°) = opposite/adjacent

x is any degree measure.

Hence option C (45/28) is correct

What are trigonometric rations?

Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec) are the six trigonometric ratios (sec). Trigonometry is the branch of mathematics concerned with the sides and angles of a right-angled triangle in geometry. As a result, trig ratios are assessed in terms of sides and angles.

How to solve ?

Given θ

∴tan θ=[tex]\frac{Perpendicular}{Base}[/tex]

=45/28

= option c

Hence option C (45/28) is correct

Learn more about trigonometric rationshttps://brainly.com/question/24349828

#SPJ2

last year, Nicole biked n miles. This year, she biked 524 miles. Using n, write an expression for the total number of miles she biked.​

Answers

Answer:

n+524

Step-by-step explanation:

you add both years worth of biking together!

HELP PLSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

C , I took a guess so if it’s wrong sorry

Ulani is constructing a triangle that has sides measuring 12 cm and 28 cm. Which measurements could be the length of the third side? Select two options.
15 cm
24 cm
38 cm
41 cm
53 cm

Answers

The answer is 24 cm and 38 cm

Answer:

B and C

Step-by-step explanation:

Is the table linear or nonlinear?
X 0 1 2 3
Y 2 4 8 16

Answers

Answer:

It is linear

Step-by-step explanation:

The Y goes up by the same amount as the X (by 4 Y's per 1 X)

An art teacher gives a total of 35 pounds of clay to her students. She gives each of her 16 students the same amount of clay. How many pounds of clay does each student get?

Please write it as a fraction.

Answers

Answer:

35/16

Step-by-step explanation:

Answer:

2.1875

Step-by-step explanation:

35/16=2.1875

2.1875 pounds

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