A local brewery distributes beer in bottles labeled 24 ounces. A government agency thinks that the brewery is cheating its customers. The agency selects 50 of these bottles, measures their contents, and obtains a sample mean of 23.7 ounces and sample standard deviation of 0.8 ounces. . Test the claim by the government agency that the population mean is less than 24 ounces at the 0.01 level of significance.

Answers

Answer 1

Answer:

We reject H₀ . We support the feeling of people from a government agency

Step-by-step explanation:

Population information:

Population mean   μ  =  24 ou

Sample information:

Sample size   n  =  50    then   degree of fredom df = n - 1 = 49

Sample mean   x  = 23,7

Sample standard deviation   s = 0,8

Hypothesis Test:

Null Hypothesis                          H₀                x  = μ

Alternative hypothesis              Hₐ                 x < μ

Significance level   α  = 0,01

We can conclude from the alternative hypothesis that we should develop a one tail-test ( to the left " if a local brewery is cheating its customers that mean,  they are selling less beer than they are supposed to)

With α  = 0,01 and df  =  49 we get from t-student table t(c) = - 2,4

To calculate t(s)

t(s) =  (  x  -  μ  ) / s/√n

t(s)  = ( 23,7  - 24  ) / 0,8/√50

t(s)  =  - 0,3* 7,07 / 0,8

t(s)  = - 2,12 / 0,8

t(s) = - 2,65

Comparing t(c) and t(s)

|t(c)| < |t(s)|

2,4 < 2,65

Then t(s) is in the rejection region we reject H₀ , and agree with a government agency in the fact that at 99 % of confidence interval shows that local brewery is cheating customers


Related Questions

1/2 minus 2/3
I have trouble with fractions ​

Answers

Answer:

-1/6

Step-by-step explanation:

Hope this helps down below! Pls mark brainliest

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(12×33)−(23×22)=?

Complete the multiplication and the equation becomes

36−46=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

3−46=−16

This fraction cannot be reduced.

Therefore:

12−23=−16

Solution by Formulas

Apply the fractions formula for subtraction, to

12−23

and solve

(1×3)−(2×2)2×3

=3−46

=−16

Therefore:

12−23=−16

What is the unit price of a granola bar if 8 granola bars cost $4.16

Answers

Answer:

divide 8 by 4.16

Step-by-step explanation:

Answer:

52 cents

Step-by-step explanation:

Side A=3 cm
Side B=?
Side C( Hypotenuse)=6 cm
Find missing side of right triagle using Pythagorean Theorem
a
3 cm
3 square root (5) cm
3square root (3) cm
6 cm

Answers

Answer:

3sqrt3 cm

Step-by-step explanation:

6^2-3^2

36-9=27

sqrt27 = 3sqrt3

Answer:

c. 3 square root ( 3 ) cm

Step-by-step explanation:

C^2 = A^2 + B^2

A^2 = C^2 - B^2

= 6^2 - 3^2

= 36 - 9

A^2 = 27

A = 3√3 cm

What's the distance between (4,-2) and (4,3)

Answers

Answer:

5 units

Step-by-step explanation:

(4, -2 )  ;   [tex]x_{1}=4[/tex]  and [tex]y_{1} = -2[/tex]

(4 , 3) ;      [tex]x_{2} = 4[/tex]  and  [tex]y_{2}=3[/tex]

distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\[/tex]

              [tex]= \sqrt{(4-4)^{2}+(3-[-2])^{2}}\\\\= \sqrt{0+(3+2)^{2}} \\\\=\sqrt{5^{2}}\\\\= 5 units[/tex]

What is the period of this function

Answers

Answer:

B

Step-by-step explanation:

Period equals pi/2

which is the largest interval over which the function shown in the table is increasing?
x y=-- x2 ?
-4
-8
-
-2
-2
(x, y)
(-4,-8)
(-2,-2)
(0,0)
(2.-2)
(4.-8)
0
NO
-2
4
-8
O
A. x < -2
O B. x<0
C. X>0
D. X> 2

Answers

Answer:

x < 0

Step-by-step explanation:

If you were to graph the function, you would get a parabola that opens down with the vertex at (0, 0).  So, the graph is increasing from -∞ to 0.

which equations are equivalent of requirements -1/4(x)+3/4=12? select all that apply.


the answer: B,C,E (for people who don’t have brainly plus) <3

you can use this to get points if you’d like

Answers

Your really nice!!!!! I didn’t need this but I just wanted to say!

please help i am giving away brainliest

A swimming pool in the shape of a cylinder with a diameter of 10 m and a depth of 3 m is being filled with water. 27,535 L have been added so far. 1 m3 is equal to 1000 L. To the nearest liter, how much more water can the pool hold?

A. 236,000 L
B. 208,084 L
C. 236,616 L
D. 207,314 L

No dam links

Answers

Answer:

207,314

Step-by-step explanation:

V = πr2h =π  · 52·3 ≈ 235.61945 m^3

because 1m^3 = 1000 L, (27,535 / 1000) = the amount of added water in m^3. As this is equal to 27.535, we can substract this from 235.62.

235.62 - 27.535  is about 208.085, or 207.314 because of rounding. As this is in m^3, we multiply by liters to arrive at the answer of 207,314, or option D.

HELP ME WITH 6-10 PLS

Answers

6. = 0.0000004834

7. = 0.0000506

8. = 0.00098

9. = 64580000

10. = 1398600000

Leanna opens a savings account with an initial balance of $100. She then deposits $50 each month. Use an equation, a table, and a graph to explain the relationship between the amount of money in the account, a, and the number of months since Leanna opened the account, m.

Part A Write an equation to represent the problem. Explain how the value of a changes as m increases.

Part B Make a table to show the relationship between m and a. Find 5 ordered pairs.

Part C Use your table from Part B to draw a graph to represent the situation.

Please answer all questions

Answers

See the attached picture:

A student purchased 9 binders for $11.07.

Solve the equation to determine the cost, in dollars, for each binder.

$

Answers

Answer:

$1.23

Step-by-step explanation:

9 binders for 11.07, where x = num of binders

9x = 11.07  [Divide both sides by 9]

x = $1.23

Answer:

each binder costs $1.23

Step-by-step explanation:

$11.07 divided by 9 equals $1.23

PLEASEEEEE HELPPPPP!!!!!!

Answers

Answer:

RS=5.65

Step-by-step explanation:

Please gimme few minutes

Larson uses his credit card to purchase a new video game system for $519.82. He can pay off up to $225 per month. The card has an annual rate of 15.4% compounded monthly. How much total interest will he pay?

Answers

Answer: $11.57
Answer Explanation: Math

A chi-square test was conducted to investigate whether there is an association between a person's favorite flavor of ice cream and their favorite toppings. Each of 200 randomly selected customers at an ice cream parlor was asked to pick their favorite flavor from vanilla, chocolate, chocolate chip, or none of these. They were also asked to pick their favorite topping from chocolate sauce, peanuts, crumbled cookies, crushed candies, or none of these. The hypothesis test had a test statistic of 24.97 with an associated p-value of 0.015. If the significance level of the test was a = 0.05, which of the following is the correct decision for this hypothesis test?
A. There is not convincing statistical evidence to suggest an association between favorite ice cream flavor and favorite topping.
B. There is convincing statistical evidence to suggest an association between favorite ice cream flavor and favorite topping.
C. There is convincing statistical evidence to suggest there is not an association between favorite ice cream flavor and favorite topping.
D. There is proof that a person's favorite ice cream topping is dependent on the person's favorite ice cream flavor.
E. There is proof that a person's favorite ice cream topping is independent of the person's favorite ice cream flavor.

Answers

Answer:

B

Step-by-step explanation:

I hope it is correct :)

Answer:

The answer is definitely B

Step-by-step explanation:

I just did this question on my test.

There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest meter, how many meters are in 318 inches? Enter the answer in the box.​

Answers

Answer: 8.0772 m

Explanation:

Write the equation of the graph.

Answers

Answer:

it is the bottom answer or if it was labeled it would be D.

help me find the answers please

Answers

Answer:

x = 6.25

Step-by-step explanation:

Suppose y = 2x  - 2.5. Find x when y = 10

this gives us the equation:

10 = 2x - 2.5

add 2.5 to both sides

2x = 12.5

divide both sides by 2

x = 6.25

Please LMK if you have questions.

Is this correct? Pls help me

Answers

Answer:

Im pretty sure you are correct

Step-by-step explanation:

Belive in urself m8

Answer:

no I don't think this is correct

Step-by-step explanation:

(no btw)

179=-9x+8
How do I break it down to slove this problem

Answers

Answer:

x = -19

Step-by-step explanation:

first isolate x by subtracting 8 on both sides:

179 = -9x + 8

-8              -8

=> 171 = -9x

then divide -9 on both sides to solve for x:

=> x = 171 ÷ -9 = -19

hope it helps ;)

what is a square unit​

Answers

Answer:

A square unit is a small area of a square used to find a total.

Step-by-step explanation:

What is the value of logg 8?

Answers

Answer:

The value of log 8 is 0.9030

Step-by-step explanation:

To find:

Value of log 8

Solution:

Let we take,

x=log8

x=log (2)^3

x=3log2

x=3*0.3010

x=0.9030

Hence, the value of log 8 is 0.90.

Which function defines (g•f)?
f(x)= log(5x)
g(x) = 5x + 4

A. (g•f)(x)= 5x log(5x) + 4log(5x)

B. (g•f)(x) = 5x + 4 + log(5x)

C. (g•f)(x) = 5x – 4 – log(5x)

D. (g•f)(x) = 5x log(5x) + 4

Answers

Answer:

A

Step-by-step explanation:

A. (g•f)(x)= log(5x) ( 5x + 4)=5x log(5x) + 4log(5x)

The function 5x log(5x) + 4log(5x) defines (g•f)

We have given that,

A. (g•f)(x)= 5x log(5x) + 4log(5x)

B. (g•f)(x) = 5x + 4 + log(5x)

C. (g•f)(x) = 5x – 4 – log(5x)

D. (g•f)(x) = 5x log(5x) + 4

We have to determine which function defines (g•f)

Where f(x)=log(5x) and g(x)=5x+5

What is the multiplication function?

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

A. (g•f)(x)= log(5x) ( 5x + 4)=5x log(5x) + 4log(5x)

(5x+4)(log(5x))=5x(log(5x))+4(log(5x))

Therefore the option A is correct.

To learn more about the function visit:

https://brainly.com/question/6561461

#SPJ5

evaluate 3 + jk + k ^3 when j = 2 and k = 6

Answers

231
hope this helps!

Simplify: (3^5)^2 / 3^-2


A) 3^10

B) 3^9

C) 3^12

D) 3^8

Answers

Answer:

3^12

Step-by-step explanation:

(3^5)^2 / 3 − ^2 = 243^2/3−^2 = 59049 / 3−^2 = 59049/ 1 / 9 = 531441

= 3*3*3*3*3*3*3*3*3*3*3*3 = 3^12

The first step in determining the solution to the system of equations, y = –x2 – 4x – 3 and y = 2x + 5, algebraically is to set the two equations equal as –x2 – 4x – 3 = 2x + 5. What is the next step?

Set y = 0 in y = –x2 – 4x – 3.
Factor each side of the equation.
Use substitution to create a one-variable equation.
Combine like terms onto one side of the equation.

Answers

Answer:

Last one. Combine like terms onto side of the equation.

Step-by-step explanation:

The first step in determining the solution to the system of equations,   [tex]y = -x^2 - 4x - 3[/tex]  and [tex]y = 2x + 5[/tex] , algebraically is to set the two equations equal as  [tex](-x^2 - 4x - 3) = 2x + 5[/tex], will be to set the equations equal to each other.

What is system of equations ?

System of equations comprises of two or more equations of two or more variables and seeks common solutions to the equations.

We have,

  [tex]y = -x^2 - 4x - 3[/tex]  

  [tex]y = 2x + 5[/tex]

So, to determine solution to these System of equations,

We have to

Set the equations equal to each other and solve for the value of [tex]x[/tex],

i.e.

[tex]-x^2 - 4x - 3=2x+5[/tex]

[tex]-x^2-6x-8=0[/tex]

[tex]x^2+6x+8=0[/tex]

[tex]x^2+4x+2x+8=0[/tex]

[tex]x(x+4)+2(x+4)=0[/tex]

[tex](x+2)(x+4)=0[/tex]

⇒ [tex]x+2=0[/tex]

   [tex]x=-2[/tex]

   [tex]x+4=0[/tex]

  [tex]x=-4[/tex]

So, from the above solution we came to know that the first step in determining the solution to the given System of equations is to set the equations equal to each other.

To know more about System of equations click here

https://brainly.com/question/13760328

#SPJ2

23 Points | Brainliest | Pre Calc Question | Thanks so much ahead of time.
Find the sum of the first 12 terms of the sequence. Show all work for full credit.
1, -4, -9, -14, . . . (2 points)

Answers

Answer:

1, -4, -9, -14, -19, -24, -29, -34, -39, -44, -49, -54 = -318

Step-by-step explanation:

Answer:

The Answer is -318.

Step-by-step explanation:

1 + (-4) + (-9) + (-14) + (-19) + (-24) + (-29) + (-34) + (-39) + (-44) + (-49) + (-54)

Maria randomly selects a number from the list of numbers below.

56, 90, 88, 76, 12

What is the probability that she selects an even number?

Answers

Answer:

1:1 or 100% i don't know which you need

Step-by-step explanation:

what is the range of the following data set?​

Answers

Answer:  The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

A rectangle has a perimeter of 42 ft its length, L, is 3 feet more than twice its width, W.

(c) Solve the system of equations that you just created by substitution to find the values of the length and width.​

Answers

Answer:

Length of rectangle = 15 feet

Width of rectangle = 6 feet

Step-by-step explanation:

Given:

Perimeter of rectangle = 42 ft

Length of rectangle = 2[Width of rectangle] + 3

Find:

Value of length and width

Assume:

Width of rectangle = w

SO,

Length of rectangle = 2[w] + 3

Perimeter of rectangle = 2[l + b]

42 = 2[2w + 3 + w]

2[3w + 3] = 42

6w + 6 = 42

6w = 42 - 6

6w = 36

w = 36 / 6

w = 6

So,

Width of rectangle = 6 feet

Length of rectangle = 2[w] + 3

Length of rectangle = 2[6] + 3

Length of rectangle = 12 + 3

Length of rectangle = 15 feet

Question 7 (3 points)
Cris borrowed $10,000 at an interest rate of 6% compounded daily. What is her approximate balance at the end of 4 years?

A $14,100
B $14,400
C $11,800
D $13,500
E $12,700

Answers

B is the correct answer
The answer to your question is B. $14,400
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