A manufacturer of stone-ground deli-style mustard uses a high-speed machine to fill jars. The amount of mustard dispensed is normally distributed with a mean weight of 290 grams, and a standard deviation of 4 grams. If the actual amount dispensed is too low, then their customers will be cheated; if it’s too high, then the company could lose money. To keep the machine properly calibrated, the company periodically takes a sample of 12 jars, to see if they need to stop production temporarily and re-calibrate. A recent sample produced a mean of 292.2 grams. Should the company be concerned that µ 6= 290 grams?

Grade: 5 4 3 2 1
Communication strong ←− − − − − − −→ weak ×2

Answers

Answer 1

This question is incomplete, the complete question is;

A manufacturer of stone-ground deli-style mustard uses a high-speed machine to fill jars. The amount of mustard dispensed is normally distributed with a mean weight of 290 grams, and a standard deviation of 4 grams. If the actual amount dispensed is too low, then their customers will be cheated; if it’s too high, then the company could lose money. To keep the machine properly calibrated, the company periodically takes a sample of 12 jars, to see if they need to stop production temporarily and re-calibrate. A recent sample produced a mean of 292.2 grams. Should the company be concerned that µ ≠ 290 grams? Use σ = 0:025. Use the p-value approach.

Answer:

P-Value = 0.08324

p-value ( 0.08324 ) is greater than significance level σ ( 0.025 );

fail to reject the null hypothesis

the company should not be concerned because, we have sufficient evidence to conclude that the mean weight is not different from 290 grams.

Step-by-step explanation:

Given the data in the question;

mean weight μ = 290 grams

sample mean x" = 292.2 grams

standard deviation s= 4 grams

sample size n = 12 jars

degree of freedom DF = n - 1 = 12 - 1 = 11

significance level σ  = 0.025

Two tailed Test

Null hypothesis             H₀ : μ = 290

Alternative hypothesis Hₐ : μ ≠ 290

Test Statistics;

t = ( x" - μ ) / ( s/√n )

we substitute our values into the equation

t = ( 292.2 - 290 ) / ( 4/√12 )

t = 2.2 / 1.1547

t = 1.905

From table; { t=1.905, df = 11, } Two tailed

P-Value = 0.08324

Hence, p-value ( 0.08324 ) is greater than significance level σ ( 0.025 );

fail to reject the null hypothesis meaning μ = 290

So the company should not be concerned because, we have sufficient evidence to conclude that the mean weight is not different from 290 grams.


Related Questions

Can someone answer this please

Answers

Answer:

40

Step-by-step explanation:

The first step is to calculate x

because it's a straight line all angles must add up to 180

we can write the following equation

(3x+94)+(x+30)+(2x-4)=180

6x+120=180

6x=60

x=10

Now to solve for COD just plug in 10 for x+30

10+30=40

In the game of Pick-A-Ball without replacement, there are 10 colored balls: 5 red, 2 white, and 3 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen.
Now, close your eyes! Reach into the bucket, and pick a ball. (Click the red Pick-A-Ball! icon to simulate reaching into the bucket and drawing your ball.)
What is the probability of selecting the color of ball that you just selected? (Round your answer to four decimal places.)

Answers

This question is incomplete, the complete question is;

In the game of Pick-A-Ball without replacement, there are 10 colored balls: 5 red, 2 white, and 3 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen.

Now, close your eyes! Reach into the bucket, and pick a ball. (Click the red Pick-A-Ball! icon to simulate reaching into the bucket and drawing your ball.)

a) What is the probability of selecting the color of ball that you just selected? (Round your answer to four decimal places.)

Don't put your first ball back into the bucket. Now reach in ( again no peeking ), and pick your second ball. ( Click the red Pick-A-Ball icon to simulate reaching into the bucket and select your next ball.)

b) What is the probability of selecting the color of the ball you selected. ( Enter the answer in decimal format to 4 decimal places ).

Answer:

a) the probability of selecting the color of ball ( RED ) that you just selected is 0.5000

b) the probability of selecting the color of the ball ( BLUE ) I selected is 0.3333

Step-by-step explanation:

Given that;

We have a total of 10 colored balls  in a small bucket.

Number of Red balls = 5

Number of White balls = 2

Number of blue balls = 3.

Now, assuming I clicked on the red Pick-A-Ball icon to simulate reaching into the bucket and picking a ball.

Also, Assuming that the color of ball that appeared is Red.

Then the probability of selecting the color of ball ( RED ) that I just selected will be;

P( selected Color ) = Number of Red balls / Total number of balls in the bucket

P( selected Color )  = 5 / 10 = 0.5000

Therefore, the probability of selecting the color of ball ( RED ) that I selected is 0.5000

b)

It is said that the game is Pick-A-Ball without replacement.

So assuming I went on and clicked on the red Pick-A-Ball icon to simulate picking a second ball.

Also, Assuming that the color of ball that appeared was blue.

Then the probability of selecting the color of ball ( BLUE ) that I just selected will be;

P( selected Color ) = Number of Blue balls / Total number of balls in the bucket

Now, since I picked the first ball without replacement, i.e I did not return it back to the bucket, The total number of balls left in the bucket now is 9.

so; P( selected Color ) = 3 / 9 = 0.3333

Therefore, the probability of selecting the color of the ball ( BLUE ) I selected is 0.3333

What is mZMNP?


A 73
B 107
C 110
D 146

Answers

Answer:

zMNP=180-73

=107 IS THE ANSWER

two step equations −10 = 10(k − 9) solve

Answers

Answer:

k=8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

The answer is eight.

Customers blah blah blah blah

Answers

Answer:

blah

Step-by-step explanation:

blah + blah = blah

blah x blah = blah

blah / blah = blah

blah - blah = blah

find the other perimeter

Answers

Answer:

28.56

Step-by-step explanation:

6+10+ (3.14×8)/2

= 16 + 12.56

= 28.56 ft

Write the number 4, 207 in expanded form.

A. (41000) + (2 · 100) + (0 · 10) + (7.1)

B. (4.1000) + (2 · 100) + (7.10)

C. (4.1000) + (20 · 100) + (7.10)

D. (4 100) + (2 · 10) + (1 7)

Answers

The Answer is the first one

The number 4, 207 in expanded form is (4 × 1000) + (2 × 100) + (0 × 10) + (7 × 1) which is correct option(A)

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculations

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given the number is 4, 207

The number is the addition of 4000, 200 and 7

So, 4207  = 4000 + 200 + 7

4000 is the product of 4 and 1000,

200 is the product of 2 and 100,

4207  = (4 × 1000) + (2 × 100) + (0 × 10) + (7 × 1)

Hence, It is the expanded form of number 4,207.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

can you just please click on this and help

Answers

Answer:

i think its b but im not 100 percent sure...

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is d

The terminal ray of an angle passes through the point (16,–12). What is the value of sine for this angle?​

Answers

Answer:

-3/5

Step-by-step explanation:

Given :-

The terminal ray of an angle passes through the point (16,–12).

And we need to find the value of sine for this angle. Therefore we can say that , Base = 16 units and Perpendicular = 12 units . So Using Pyhthagoras Theorem , we can find hypontenuse.

Using Pythagoras Theorem :-

[tex]:\implies[/tex] = +

[tex]:\implies[/tex] = 16² + 12²

[tex]:\implies[/tex] = 256 + 144

[tex]:\implies[/tex] = 400

[tex]:\implies[/tex] h = 20 u

Therefore the sine will be :-

[tex]:\implies[/tex] sinθ = p/h

[tex]:\implies[/tex] sinθ = 12/20

[tex]:\implies[/tex] sinθ = 3/5

And it is in third quadrant so , sine will be negative .

[tex]:\implies[/tex] sinθ = -3/5

Therefore the value of sine is -3/5.

-8 is an irrational number.
True
False

Answers

The answer for this is true

Answer:

false

Step-by-step explanation:

Which of the following system of equations has a solution of (1,3)?
x = 4y - 11
y = 5x - 14

3x + 5y = 18
y = 2x + 1

x - y = -2
2x + 3y = 11

Answers

Answer: 3x + 5y = 18  y = 2x + 1 or the second option !!

How to: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Have a great day !

-11 2/3 x (-4 1/5) pls help me​

Answers

Answer:

49

Step-by-step explanation:

Plz help me well mark brainliest if correct!

Answers

Answer:

ok

Step-by-step explanation:

Answer:

The length is 8.

Step-by-step explanation:

If you know the formula for area is LxW. Use this but reverse it. The area is 24 and the width is 3. Now divide 24/3=8. Simple as that!

Formula: A/W=L or A/L= W use this if you need more help! Hope it helps (:(:

I NEED HELP ON THIS PROBLEM PLS

Answers

Answer:

only A

Step-by-step explanation:

A is correct because if a number is less than 7, the number under the square root will be negative, and that will yield an imaginary (or non-real number)

B is incorrect because even if you choose a number less than 7, the result will still yield a real number

C is incorrect due to the same logic as B

D is incorrect because you can take the cube root of a negative number without it being non-real.

Help please I need it ASAP

Answers

this some tuff stuff

Kylee manages a small theme park and she has been analyzing the attendance data. Kylee finds that the number of visitors exponentially as the tempature increases, and this situation is represented by the function f(x) = 4 ^ x Kylee also finds a linear equation that no deals the number of people who leave the park early depending on the change in temperature , and it is represented by f(x) = - x + 5. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.

Answers

The solution to the two functions is (1,4) The intersection represents the number of people entering the park and the number of people leaving the park is the same when the temperature increases by 1 degree.

Without plotting these numbers, decide which inequalities are true. Check all that apply.
[tex] \sqrt7 > 2[/tex]
[tex] \sqrt7 >7[/tex]
[tex] \sqrt7 < 8[/tex]
[tex] \sqrt8 < 2[/tex]
[tex] \sqrt8 < 8[/tex]

Answers

Answer: √7 = 2.6

1. 2.6 > 2 V

2. 2.6 > 7 X

3. 2.6 < 8 V

4. √8 = 2.8 2.8 < 2 X

5. 2.8 <8 V

Step-by-step explanation:

V: mean correct

X: mean wrong

Simplify the given expression.

Answers

Answer:

if  u putted  a picture or link i cant see it

Step-by-step explanation:

Answer:

Q1 .

[tex]\frac{3y -28}{(y+2)(y-2)}[/tex]

option 3

Q2.

[tex]\frac{(x-1)(x+1)(26x-31)}{(x^2 +8)} \\[/tex]

option 2

what is the cordinate of the midpoint of GO ? plss help me​

Answers

Answer:

24 ;] ;] ;]

Step-by-step explanation:

from spongebob

Readin
Look at the two sums shaded in the addition table. Why are the sums the same?
+
0
1
2 3
4
5
because
5 x 9 = 9 x 5
0
1
2
because 9 is greater
than 5
unwN -
because
5 +9= 9+5
WNO
0 00 von A
6 7 8 9 10
3 4 5 6 7 8 9 10
2 3 4 5 6 7 8 9 10 11
3 4 5 6 7 8 9 10 11 12
4 5 6 7 8 9 10 11 12 13
5 6 7 8 9 10 11 12 13 14
6 7 8 9 10 11 12 13 14 15
6 7 8 9 10 11 12 13 14 15 16
7 8 9 10 11 12 13 14 15 16 17
9 10 11 12 13 14 15 16 17 18
because 5 and 9 are
both odd numbers
6
7
8
10 11 12 13 14 15 16 17 18 19
10 10 11 12 13 14 15 16 17 18 19 20

Answers

Answer:

10 11 12 13 14 15 16 17 18 19

10 10 11 12 13 14 15 16 17 18 19  

 

Step-by-step explanation:

Plato!! Please help!!!

Answers

Answer:

[tex]a =7[/tex]   [tex]b = 2[/tex]  [tex]c = -4[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x}{x + 2} + \frac{4x}{x - 2} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Required

Find a, b and c

[tex]\frac{3x}{x + 2} + \frac{4x}{x - 2} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Take LCM

[tex]\frac{3x(x -2) + 4x(x+2)}{(x + 2)(x - 2)} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Expand

[tex]\frac{3x^2 -6x + 4x^2+8x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Collect like terms

[tex]\frac{3x^2 + 4x^2-6x+8x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]

[tex]\frac{7x^2+2x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]

By direct comparison:

[tex]ax^2= 7x^2 \to a = 7[/tex]

[tex]bx = 2x \to b = 2[/tex]

[tex]-4 = c \to c = -4[/tex]

A small fish tank is filled to the top with water. If the tank measures. 15 cm by 10 cm by 10 cm, what is the volume of water in the tank? Express your answer in mL

Answers

Cool cool cool 35 ML

Find the mode(s) of the data set. 92, 97, 92, 96, 98, 94 0 98, 92 92 no mode​

Answers

Answer:

92

Step-by-step explanation:

92 appears the most

Answer:

92 is the mode because is the most occurring number. 92 appear 4times

help me plzzzzzz!!!!!!!​

Answers

42 i think i may be wrong

I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
-------------------------------------------------------------------------------------
please help this is very important
(this is a big part of my grade)

Answers

answer: B
x+2.6=10.4
x=7.8
the solution (x=7.8) means that Mai had 7.8 liters of water before they added the 2.6 liters to equal 10.4 in total.

Rodas is standing 100 feet from the Eiffel Tower and sees a bird land on the top of the tower (he has really good eyes!). If the angle of elevation from Rodas to the top of the Eiffel Tower is close to 84.6°, how tall is the tower? Round to two decimal places.

Answers

Answer:

1057.89 feet

Step-by-step explanation:

Trig time! Start with a diagram and listing out your trig functions, either mentally or on paper. SOH CAH TOA

The best trig function for this problem is likely tan:

tan84.6 = height / 100

100 * tan 84.6 = height

height = 1057.89 feet

What is the greatest common factor (GCF) of 25 and 35​

Answers

Answer:

15

Step-by-step explanation:

The GCF of 25 and 35, is 15

Answer:

5

Step-by-step explanation:

Use the L method or the tree method. If you go through your numbers and see which number can divide both 25 And 35, you should find 5 because both of them end in 5 Since anything is divisible by 5 if it has a 0 or a 5 as the ones.

If you also needed help with the LCM, it is, keep one of the fives and divide the other to get rid of the five, then multiply them all together, so 25 * 7 = 175.

how to solve this equation by step

12f=216​

Answers

Answer:

18

Step-by-step explanation:

You have to divide both sides by 12 inorder to remain with the f on the other side since you want to find the value of f.

12f/12=216/12

F=18

I hope this helps

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Answers

What chsjsiahsjsiaosijxsjsj nfjsjshchc

[tex]x^2=36[/tex]=36

Answers

Answer:

[tex]x^{2} =36=6*6\\x^{2} =6^2\\x=\sqrt{6*6}\\x = 6[/tex]

Answer
X=6
I have nothing else to say
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