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

What is the area of this shape

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Answer:

252

Step-by-step explanation:

60+61+11

math pre calc, transformation of radical functions
PLEASE HELP GOT TO HAND THIS IN SOON IM CONFUSED.
I WILL VENMO ANYONE WITH GOOD ANSWERS ​

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Answer:

Im pretty sure you can just search this up number by number and you will find all the answers

5. The coordinates of the points A and B are (0, 6)
and (8, 0) respectively.

() Find the equation of the line passing through

A and B

Given that the line y = x+1 cuts the line AB at
the point M, find

(ii) the coordinates of M,

(in) the equation of the line which passes

through Mand is parallel to the -axis,

(iv) the equation of the line which passes through

Mand is parallel to the y-axis.​

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i need to answer two questions to ask again sorry

Brainliest for correct answer

Answers

Answer:

I got 678.58401 but i think it is C. 648n cubic units

Step-by-step explanation:

Mai wants to buy a pair of jeans at the mall. The jeans cost $35.00. She has a coupon for that store. She pays $28.00 for the jeans. What was the percent of her discount?

Answers

9514 1404 393

Answer:

  20%

Step-by-step explanation:

The discount was $35 -28 = $7. As a percentage of the original price, that is ...

  $7/$35 × 100% = 20%

Mai's coupon was for a 20% discount.

HELP ME PLAESE I HAVE ASKED THE QUESTION LIKE 5000000 TIMES AND HAVE USED UP ALL MY POINTS, THE LEAST SOMEONE CAN DO IS JUST TRY PLSSSSS


Will choose brainliest :)

Answers

Answer:

try c.

Step-by-step explanation:

i hope this is the answer, good luck!

The price of an item has risen to $184 today. Yesterday it was $80. Find the percentage increase.

Answers

130% because if 80 =100% you take way 80 fro 184 to get 104 and get the % of that

User averysmartperson is helping with this question.

Answers

Answer:

[tex]x^2 + (y-60)^2 = 30,625[/tex]

Step-by-step explanation:

There are 42 carts, so there is 42 spaces in between them; if one of those spaces are 25pi/3 feet long, then 42 of them would be 25*42*pi/3 = 350pi (Perfect! no fractions)

350pi is the circumference. Now if we plug that into the circumference equation we get:

C = 2pi*r

350pi = 2pi*r

Divide both sides by pi to get rid of it

350 = 2r

Divide both sides by 2

r = 175 feet

So the new equation to graph it is:

x^2+y^2 = 175^2 = 30,625

We also know that the center of the Ferris wheel has to be at least 60 feet from the ground. Since the radius is more than that, a good bit of the Ferris wheel has to be underground OR we can make it higher (keyword: at least) if we want it to be above ground. I'll do the equation for underground since it more closely represents the question.

subtracting a number from y, shifts the graph up that much so:

[tex]x^2 + (y-60)^2 = 30,625[/tex]

I can't really draw it electronically but I can graph it:

Which expressions represent 1 less than the product of 3 and 4? Check all that are true. 2) 0 (3 X 4) - 1 O 3 X 4 - 1 3 x (4 - 1) -) 0 1 - (3 X 4) 0 1 - 3 X 4​

Answers

Are the 0 part of the problem it so spaced out?

Answer:

(3 x 4) - 1    and  3 x 4 - 1

Step-by-step explanation:

Hope this helps!

Find the lateral area of this cone.
Leave your answer in terms of pi
15cm
8cm

Answers

Answer:

lateral surface area of cone =

[tex]\pi rl[/tex]

where, l = slant height, and r = radius

then

[tex]l.a = \pi \times 8 \times 17[/tex]

[tex]l.a = 136\pi[/tex]

The lateral area of this cone will be 136 π. Lateral area is found as the product of pi ,radius and slant height.

What is a cone?

It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.

lateral area of this cone is found as;

L=πrl

L=π×8×17

L=136π

Hence,the lateral area of this cone will be 136 π.

To learn more about the cone refer to the link;

brainly.com/question/16394302

#SPJ2

Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 14,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 16,141 hours. Round your answer to four decimal places.

Answers

Answer:

6

Step-by-step explanation:

iuiiiiuiuiuuuiuuuuuuuiuuuuii

What is the value of v? (help no links and thx)

Answers

Answer:

74.7

Step-by-step explanation:

Ryan exponential function of the form f(t)= a×b^t to represent the following situation. assume t is in years. an account has an initial investment of $91,000, increasing by 3.76% per year. F(T)=_________​

Answers

Answer

[tex]f(t) = 91000 *1.0376^t[/tex]

Explanation

Given

[tex]a = 91000[/tex] -- initial

[tex]r = 3.76\%[/tex]

Required

The exponential equation

The exponential equation is:

[tex]y =ab^t[/tex]

Where

[tex]b=1 +r[/tex]

We used minus, because the rate increases..

So, we have:

[tex]b=1 +3.76\%[/tex]

[tex]b=1 +0.0376[/tex]

[tex]b=1.0376[/tex]

So:

[tex]y =ab^t[/tex]

[tex]y = 91000 *1.0376^t[/tex]

Hence:

[tex]f(t) = 91000 *1.0376^t[/tex]

In ADEF, f = 610 inches, e = 590 inches and ZE=70°. Find all possible values of ZF,
to the nearest degree.

Answers

Answer:

"76°" is the appropriate solution.

Step-by-step explanation:

Please find attachment of the diagram according to the given query.

The given values are:

In ΔDEF,

f = 610 inches

e = 590

∠E = 70°

∠F = ?

By using the law of sines, we get

⇒  [tex]\frac{Sin E}{e} =\frac{Sin F}{f}[/tex]

On substituting the values, we get

⇒  [tex]\frac{Sin70^{\circ}}{590} =\frac{SinF}{610}[/tex]

On applying cross multiplication, we get

⇒   [tex]SinF=\frac{610\times Sin 70^{\circ}}{590}[/tex]

On substituting the values, we get

⇒            [tex]=\frac{61\times 0.95969262}{59}[/tex]

⇒            [tex]=\frac{57.3212499}{59}[/tex]

⇒            [tex]=0.971546608[/tex]

now,

⇒  [tex]F=Sin^{-1}(0.971546608)[/tex]

⇒      [tex]=76^{\circ}[/tex]

Which of the fractions below is closest to zero?
a. 1/2
b. 1/6
c. 1/9
d. 1/12

Answers

Answer:

d.) 1/12

Step-by-step explanation:

As it is equal to 0.083 and it is nearest to zero

Answer:

d. 1/12

Step-by-step explanation:

Since all of the fractions are positive and you want the one closest to 0, you need to find the smallest fraction. With fractions, especially when all of the numerators are 1, the larger the denominator becomes, the smaller the fraction. 12 is the largest denominator; therefore, 1/12 must be the smallest fraction. Which makes 1/12 the closest to 0.

What is the tan M, sin M and Cos M?

Answers

I hope this helps you

tgM=39/80

sinM=39/89

cosM=80/89

Find the value of x in the triangle shown below 6 2

Answers

The value of x is 6.324555320336759 or 6. 3 if your rounding.

For which product or quotient is this expression the simplest form? (image attached)! please help :((

Answers

Answer:

D

Step-by-step explanation:

For simplify the work we can start to factorise all the possibles expressions:

2x + 8.

8 is multiple of 2, so it can became

2(x+4)

x^2 - 16 this is a difference of two squares, so it can be rewritten as:

(x+4)(x-4)

x^2 + 8x + 16

we have to find two numbers whose sum is 8 and whose product is 16

the two number are 4 and 4

it becames:

(x+4)(x+4)

x+ 4 can‘t be simplified

if we look at the expression, we can find that x-4 appears at the numerator so

x^2 - 16 must be at numerator

but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option

in fact

(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)

it became

(x+4)(x-4)/2 * 1/(x+4)(x+4)

(x-4)/2(x+4)

Answer:

Step-by-step explanation:

I got 100% on the test

An airplane is flying 4 miles directly over your house. The distance between your house and the airport is 12 miles. How far apart are the airplane and the airport?

Answers

Answer:

c=7.180 miles. 2. Jack is on one side of a 200-foot-wide canyon and Jill is on the other. Jack and Jill can both ... a=2.947 miles. 5. Airplane A is flying directly toward the airport which is 20 miles away. The pilot notices ...

What is the cos(65)?

Answers

= 0.4226182617, or 0.423 if rounded to 3 d.p

Somebody please help

Answers

Answer:

5

Step-by-step explanation:

when finding a y intercept thevalue of x must be0,,,,,,when xis changed to 0the answer left is 5

Junior's brother is 1 1/2
meters tall. Junior is 1 1/5
of his brother's height.
How tall is Junior?

Answers

Answer:

Step-by-step explanation:

1 1/5 of 1 1/2 meters  

= (1+1/5) x (1+1/2)  

= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2  

= 1 + 1/2 + 1/5 + 1/10  

= 1 + (1x5+1x2+1)/10  

= 1 8/10  

= 1 4/5 meters

Answer:

1 4/5 meters

Step-by-step explanation:

1 1/5 of 1 1/2 meters  

= (1+1/5) x (1+1/2)  

= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2  

= 1 + 1/2 + 1/5 + 1/10  

= 1 + (1x5+1x2+1)/10  

= 1 8/10  

= 1 4/5 meters

I need to get this right man

Answers

What is that little number next to the four

A picture 10 feet long is to be centered on a wall that is 14 feet long. How much space is there from the edge of the wall to the picture?

Answers

Answer:

4 feet is left in the wall

Step-by-step explanation:

If something is 1 foot and it’s supposed to be 2 feet, how much space is left? 1 foot, therefore you have to subtract what you want from what you have.

Answer:

2 ft.

Step-by-step explanation:

14 - 10 = 4.

4/2 = 2

You divide beacuse theres space on botrhsides of the painting.

Tell what whole number you can substitute for x in the following list so the numbers are ordered from least to greatest. 1/x, x/5,70%

Answers

Answer:

hmmm................chupapu

If you borrowed $646 at an interest rate of 5% for 6 years, how much interest will you pay? Round to the nearest tenth if necessary.

PLEASE HELP!!!!!!!!!!

Answers

Answer:

Total interest you will pay is $103.07.

The total you will pay for interest and loan amount is $749.07

iStep-by-step explanation:

Anyone who know what the answer please please?!

Answers

Answer:

x = 26.4°

Step-by-step explanation:

Defence angle = x

Side length Opposite to reference angle = 4

Hypotenuse length = 9

Apply trigonometric ratio, SOH. Thus:

Sin x = Opp/Hyp

Sin x = 4/9

[tex] x = sin^{-1}(\frac{4}{9} [/tex]

x = 26.3878° = 26.4° (nearest tenth)

A tabletop in the shape of a trapezoid has an area of 7,701 square centimeters. Its longer base measures 119 centimeters, and the shorter base is 85 centimeters. What is the height?

Second attempt, please just give me the answer :p

Answers

Answer:

75.5 cm

Step-by-step explanation:

S = (a+b)*h/2

h = 2 * S / (a+b) = 2 * 7701 / 204 = 75.5 cm

For the following right triangle, find the side length x.
X
12
35
help pls

Answers

Answer:

the length of side X is 37

A 2003 study of dreaming found that out of a random sample of 111 people, 93 reported dreaming in color. However, the rate of reported dreaming in color that was established in the 1940s as 0.24. Check to see whether the conditions for using a one-proportion z-test are met assuming the researcher wanted to test to see if the proportion dreaming in color had changed since the 1940s. Are the conditions met?
A. No, the observations are not independent.
B. Yes, all the conditions are met.
C. No, the sample size is not large enough to produce at least 10 successes and 10 failures.
D. No, the population is not more than 10 times bigger than the sample size.

Answers

Answer:

B. Yes, all the conditions are met.

Step-by-step explanation:

According to the question

There is a random sample of 111 people also these people are independent

The population size is also not given so we assume that it should be on infinity i.e. it should be more than 10 times higher as compared with the sample size

And, the number of success in the sample is 93

So, the number of failure would be

= 111 - 93

= 18

So, the 93 and 18 would be higher than 10

Therefore, the option b is correct

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