A bottling company produces bottles that hold 10 ounces of liquid. Periodically, the company gets complaints that their bottles are not holding enough liquid. To test this claim, the bottling company randomly samples 64 bottles and finds the average amount of liquid held by the bottles is 9.9145 ounces with a standard deviation of 0.40 ounce. Suppose the p-value of this test is 0.0436. State the proper conclusion. choose from below and explain why.
A) At α = 0.05, reject the null hypothesis.
B) At α = 0.10, fail to reject the null hypothesis.
C) At α = 0.025, reject the null hypothesis.
D) At α = 0.05, accept the null hypothesis.

Answers

Answer 1

Answer:

A) At α = 0.05, reject the null hypothesis.

Step-by-step explanation:

Given a p-test value of 0.0436 ;

P-value = 0.0436

Recall :

Decision region :

Reject Null if p value < α

Testing the options :

A) At α = 0.05,

0.0436 < 0.05 (true)

Since p value < α ; Reject the null hypothesis.

B) At α = 0.10,

0.0436 < 0.1

True conclusion is to reject the Null Hypothesis

Hence, option B is incorrect.

C) At α = 0.025, reject the null hypothesis.

0.0436 > 0.025

True conclusion is ; Fail to reject the Null ;

Hence, option C is incorrect

D) At α = 0.05, accept the null hypothesis.

0.0436 < 0.05

True conclusion is ; reject the Null

Hence, option D is incorrect


Related Questions

you deposit 3,800 in an account with an annual interest of 5.2% for 20 years

Answers


First, convert R percent to r a decimal
r = R/100
r = 5.2%/100
r = 0.052 per year,

Then, solve our equation for A
A = P(1 + r/n)nt
A = 3,800.00(1 + 0.004333333/12)(12)(20)
A = $ 10,726.90

Shrina has read 10% of the books that are in the library. She has now read 327 books.

How many books are there in the library?

Answers

134 hope I helps with ur problem

f(x) = x2 + 1
f(-3)=)

Answers

Answer:

f(-3) means, put -3 at x

therefore, f(-3)= 3²+1

=10

solve the equation (0°≤A≤360°)
a) √3sinA-cosA=√2​

Answers

Step-by-step explanation:

√3sinA-cosA=√2

dividing both side by (√3²-1²=2 we get)

√3/2 sinA-1/2.cos A=√2/2

cos 30sinA-sin30cosA=√2/(√2×√2)

sinAcos30-cosAsin30=1/√2

sin(A-30)=sin45,sin(180-45)

therefore

A-30=45,135

A=45+30=75 or A=135+30=165

What operation should be done first to solve 6x + 5 = 35?

Answers

Answer:

Subtract 5

Step-by-step explanation:

Pemdas is done backwards in algebra

Faucet A can fill up a water cooler in 8 minutes. Faucet B can fill the same water cooler in 12 minutes. How long will it take both faucets together to fill the water cooler?
!!!!!Explanation Needed!!!!!

Answers

Answer:

in average a it take both faucets together to fill the water cooler=(8+12)/2=10minutes

Meaning of part of a whole

Answers

Answer:

Step-by-step explanation:

a portion or division of a whole that is separate or distinct; piece, fragment, fraction, or section; constituent: the rear part of the house;to glue the two parts together.

Please thank me!

Solve the following equations for the given variable.
3x + 2y = 6 for y
Answer:

Answers

Answer:

y=3

Step-by-step explanation:

you just need to do 2 divided by 6

Answer:   y = -3/2x + 3

Step-by-step explanation:

3x + 2y = 6        First Isolate y by subtracting 3x from both sides  

-3x          -3x

   2y = -3x + 6       Now divide both sides by 2

  y = -3/2x + 3

5x5=? someone help please

Answers

Answer:

25

Step-by-step explanation:

25


explanation : 5 5 5 5 5

a doll maker puts a small bag of 5 hair ribbons inside each box with a doll how many bags of 5 hair ribbons can be made from 45 hair ribbons

Answers

Answer:

divide 45 by 5

you get 9

the answer is 9

Answer:

45 / 5 = 9

Step-by-step explanation:

this.is your answer it's quite simple if u need more help lmk

Find the equation (in terms of x) of the line through the points ( − 1 , − 1 ) and( 4 , − 4 )

Answers

Answer:

[tex]y = -\frac{3}{5}x -\frac{8}{5}[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-1,-1)[/tex]

[tex](x_2,y_2) = (4,-4)[/tex]

Required

Determine the line equation

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-4 - (-1)}{4 - (-1)}[/tex]

[tex]m = \frac{-4 +1}{4 +1}[/tex]

[tex]m = \frac{-3}{5}[/tex]

[tex]m = -\frac{3}{5}[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - (-1) = -\frac{3}{5}(x - (-1))[/tex]

[tex]y + 1 = -\frac{3}{5}(x +1))[/tex]

Open bracket

[tex]y + 1 = -\frac{3}{5}x -\frac{3}{5}[/tex]

Make y the subject

[tex]y = -\frac{3}{5}x -\frac{3}{5}-1[/tex]

[tex]y = -\frac{3}{5}x +\frac{-3-5}{5}[/tex]

[tex]y = -\frac{3}{5}x +\frac{-8}{5}[/tex]

[tex]y = -\frac{3}{5}x -\frac{8}{5}[/tex]

335.71 divided by 1000

Answers

0.33571

Anyways thanks for points

Paul has a 40 ft. by 30 ft. pole barn on his farm that he wants to move. The southeast corner of the pole barn is currently located 50 ft. west and 25 ft. north of the stock tank where the cows get their water. Paul wants to move the pole barn so the southeast corner of the barn is located 80 feet east and 80 feet south of the stock tank
1. 1. Complete the transformation statement for moving Paul’s pole barn, (x,y) (x+ fill in the blank, y + fill in the blank)
2. Draw the new location of the pole barn on the graph below. Note that the stock tank is located at the origin
3. How far is it from the old location to the new location? (Hint: use the distance formula

Answers

Answer:

Step-by-step explanation:

(x,y) ↦ (x+130, y-105)

original position of SE corner: (-50,25)

new position of SE corner: (80,-80)

distance = [tex]\sqrt{(80-(-50))^{2}+(-80-25)^{2} }[/tex]≅167.1 ft

Describe how a point on a graph is related to a table and an equation that represent the same relationship.

Answers

Answer:

because everything is relative to each other.

Step-by-step explanation: Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships. A linear relationship is a relationship between variables such that when plotted on a coordinate plane, the points lie on a line. Let’s start by looking at a series of points in Quadrant I on the coordinate plane. Look at the five ordered pairs (and their x– and y-coordinates) below.

Answer:

Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships. A linear relationship is a relationship between variables such that when plotted on a coordinate plane, the points lie on a line. Let’s start by looking at a series of points in Quadrant I on the coordinate plane. Look at the five ordered pairs (and their x– and y-coordinates) below.

Brainliest?!?!??!?

I need one more .

PLEASE HELP!! WILL MARK BRAINLIEST!! DONT GUESS :)

Answers

15x - 63 + 108 = 180

15x + 45 = 180

15x = 135

x = 9

hope this helped!

Answer:

x=9

Step-by-step explanation:

180-108=72 so the equation using x has to equal 72

(15x-63)=72

+63

15x=135

divide by 15

x=9

After dinner, Mirna had a second serving of her chocolate bar, eating 3
more pieces. Which equation shows how much she has left of the
whole candy bar after this second serving ?

A.) 5/8 - 3/8 = 2/8

B.) 8/8 - 3/8 = 5/8

C.) 8/8 - 5/8 = 3/8

D.) 3/8 - 2/8 = 1/8

Answers

The answer is c because 8 - 5 is 3.

The length of a rectangle is three times its width, if the area of the rectangle is 108cm2, find its perimeter

Answers

Answer:

The perimeter of rectangle is 48 cm.

Step-by-step explanation:

First, you have to form an expression for the length and the width. Let x be the width :

width = x cm

length = 3 × x = 3x cm

Then, you have to apply area of rectangle formula, A = length × width to find the value of x.Let area equals to 108 :

A = length × width

108 = 3x × x

3x² = 108

x² = 108 ÷ 3

x² = 36

x = √36

x = 6 cm

Lastly, you have to find perimeter :

length = 3 × 6 = 18 cm

width = 6 cm

Perimeter = 2(length + width)

P = 2(18 + 6)

P = 2(24)

P = 48 cm

Answer:

48cm

Step-by-step explanation:

x = 6y – 14
-X + 9y = 17

Answers

after substitution :

-6y + 14+ 9y = 17

= 14 + 3y = 17

by subtracting 14 :

3y = 3

by dividing over 3 :

y = 1

after substitution:

x = 6 * 1 - 14 = 6 - 14 = -8

x = -8

Select five numbers that have 7, 13, and 3 as prime factors.
А
1,092
B
897
с
2,093
D
819
483
F
1,365
G
273
H
546

Answers

Answer:

ADFGH

Step-by-step explanation:

Good luck on your test!

The numbers having the prime factors 7, 13, and 3 are 1,092,819,1,365,273, and 546.

What is a prime factor?

A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth. Now, we may also apply the so-called prime factorization, which actually involves using factor trees, for numbers.

The numbers having the prime factors 7, 13 and 3 are 1,092,819,1,365,273, and 546. Because all the numbers are completely divisible by the numbers 7, 13, and 3.

Therefore, the numbers having the prime factors 7, 13, and 3 are 1,092,819,1,365,273, and 546.

To know more about prime factors follow

https://brainly.com/question/1081523

#SPJ2

Solve for x and y
A=3y
B=105
C=9x+5
D=2x+10



Answers

Where’s the equation?

Answer:

Where's the equation?

What is the solution of the equation 13 + b = 37?
b=

Answers

Answer:

13 + 24 = 37 the answer is 24

Step-by-step explanation:

Answer: 24

Step-by-step explanation: 37-13= 24

Help help help help help pls

Answers

The answer is c maybe but I might be wrong and I might be correct but who knows unless you pick C

Purple paint is made by mixing red paint and blue paint in the ratio 5:2
Yan has 30 litres of red paint and 9 litres of blue paint.
What is the maximum amount of purple paint he can make?​

Answers

the maximum amount he can make is 4 liters because 2x4 is 8 and that’s the most it can go without going past 9. hope this helped!

what is the value of 58 - 2 x 3 + 1

Answers

Answer:

53

Step-by-step explanation:

? points
Simplify completely :
5x - 20
9x - 36​

Answers

Answer:

5/9

Step-by-step explanation:

HELP ME WITH ALL OF THESE ASAP i will give BRAINEST

Answers

Answer:

The first is true.

8 · 21 = 168

The second is false.

The third is false.

The fourth is true.

Step-by-step explanation:

Answer:

true

168 divided by 21 is 8

true

168 divided by 8 is 21

false

168 divided by 16 is 10.5

false

168 divided by [tex]\frac{1}{8}[/tex] is 21

Step-by-step explanation:

for number one since there 21 cans of soup and 168 oz are used for all cans you would divide 168 by 21 and you get 8 and so on with the rest of the questions !

You apply the
{Select)
operation
[ Select ]
-for multiplication equations and
[ Select ]
for division equations
-to
[ Select ]
of the equation.

Answers

Answer:

ndhduejcijgisjcidjcjzjfjidjicjdici djcojzifcjdjcu

Step-by-step explanation:

no se weydgfds

PLEASE HELP QUICKLY !!!!!!!!!!!!!! I will give brainliest

Answers

t=100 I was not sure about y sowyy

Find the given probabilities. If the probabilities or given in decimal then your answer should be in decimals. If the probabilities are a fraction then your answer should be in fraction.

a. If \large P\left(A\right)=\frac{1}{6} and \large P\left(B\right)=\frac{4}{9}, and events A and B are disjoint events, so \large P\left(A or B\right)=

b. If P(A)= .67 and P(B)= .13 and events A and B are disjoint events, so P(A or B)=

Answers

Answer:

B

Step-by-step explanation:

What is the value of x in the equation 3×=1​

Answers

Answer:

x=1/3

Step-by-step explanation:

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