Most water treatment facilities monitor the quality of their drinking water on hourly basis. One variable monitored it is pH, which measures the degree of alkalinity or acidity in the water. A pH below 7.0 is acidic, one above 7.0 is alkaline, and a pH of 7.0 is neutral. One water treatment plant has a target pH of 8.5 (most try to maintain a slightly alkaline level). The mean and standard deviation of 1 hour's test results, based on 12 water samples at this plant are: Mean =8.24 S=.16 Does this sample provide sufficient evidence that the mean pH level in the water differs from 8.5?

Answers

Answer 1

Answer:

we can conclude that there is significant evidence to support the stance that mean pH value in water differs from 8.5

Step-by-step explanation:

H0 : μ = 8.5

H1 : μ < 8.5

Test statistic :

(xbar - μ) / s/sqrt(n)

(8.24 - 8.5) ÷ (0.16 ÷ √12)

-0.26 ÷ 0.0461880

Test statistic = - 5.63

The Pvalue can be obtained from the test statistic value using a Pvalue calculator :

df = 12 - 1 = 11

Pvalue = 0.000077

Using an α value of 0.05 ; we can conclude that

Pvalue < α ; We reject H0

Hence, we can conclude that there is significant evidence to support the stance that mean pH value in water differs from 8.5


Related Questions

2(3x + 4y – 5) + 3(2x – 3y + 2)

Answers

Answer:

12x−y−4

Step-by-step explanation:

hope this helps!

2. Write your two column proof

PLEASE IF YOU DONT KNOW DONT ANSWER PLEASE

Answers

We have:

ab = bc (hypothetical)

so the triangle ABC is isosceles at B

we have: bd is the height of the triangle ABC, so BD is perpendicular to AB

Consider the triangle ABD and the right triangle ACD have:

AB = BC (hypothesis)

BD is the common edge

So the triangle ABD = triangle ACD (hypotenuse - acute angle)

hence the angle ABD = angle ACD

In a sale all items are reduced by 15%. A carpet now costs £15.30 per square metre. What was the price before the sale?

Answers

Answer:

,hope it will helpful to youuuuu

Find the Discount % if the OriginalPrice is $15 and the Sale Price is $14.25.

Answers

Answer:

5%

Step-by-step explanation:

15-14.25/15

original - sale price divided by original = percent change

15-14.25/15 = 0.75/15 = 0.05 = 5%

To find percentage change you do change in price / original price .

15-14.25=0.75
0.75/15= 0.05
To turn into percentage do 0.05x100 so answer is 5% discount

Use the transformation uequals=x plus 6 yx+6y​, vequals=y minus xy−x to evaluate the given integral by first writing it as an integral over a region G in the​ uv-plane. ModifyingAbove Modifying Below Integral from nothing to nothing With four sevenths width 0 ModifyingAbove Modifying Below Integral from nothing to nothing With 4 minus 6 y width y (x plus 6 y )e Superscript (y minus x )Baseline dx dy

Answers

Answer:

Step-by-step explanation:

if i know

Use Distributive Property to expand the expressions and then simplify.

1/4 (4s + 24.80)

Answers

Answer:

The answer is s + 6.2

a train travels 288km at a uniform speed.if the speed has been 4km per hour more it would have taken one hour less for the same journey.find the speed of train​

Answers

Given:

A train travels 288 km at a uniform speed.

If the speed has been 4 km per hour more it would have taken one hour less for the same journey.

To find:

The initial speed of the train.

Solution:

Let x km/h be the initial speed on the train.

New speed of train = (x+4) km/h

We know that,

[tex]Time=\dfrac{Distance}{Speed}[/tex]

Time taken by the train initially to cover 288 km is [tex]\dfrac{288}{x}[/tex] hours.

New time taken by the train to cover 288 km is [tex]\dfrac{288}{x+4}[/tex] hours.

It is given that If the speed has been 4 km per hour more it would have taken one hour less for the same journey.

[tex]\dfrac{288}{x}-\dfrac{288}{x+4}=1[/tex]

[tex]\dfrac{288(x+4)-288x}{x(x+4)}=1[/tex]

[tex]288x+1152-288x=x^2+4x[/tex]

[tex]1152=x^2+4x[/tex]

[tex]0=x^2+4x-1152[/tex]

Splitting the middle term, we get

[tex]x^2+36x-32x-1152=0[/tex]

[tex]x(x+36)-32(x+36)=0[/tex]

[tex](x+36)(x-32)=0[/tex]

[tex]x=-36,32[/tex]

We know that the speed cannot be negative. So, the only possible value of x is 32.

Therefore, the speed of the train is 32 km/h.

HELP FAST SELECT TWO!!!!

Answers

Answer:

2 and 5 are the answers

Step-by-step explanation:

The other ones are blatantly false

Answer: 2 and 5 but don't take my word for it.

Step-by-step explanation:

I need help on this one please

Answers

90,45,30,18,15,10,9,6,5,3,2,1

Which is the length of the hypitenuse?

Answers

Answer:

20

Step-by-step explanation:

the length of the hypotenuse of a right triangle can be found using the Pythagorean theorem which states that the square of the length of the hypothesis equal the sum of the square of the length of the other two sides

What’s the answer?!!!!!

Answers

No it is not a right angle

Your answer is no it’s not a right angle

PLEASEEE HELPPPP OVERRRR DUEEEE!!!!

Answers

Answer:

x<-2

Step-by-step explanation:

The open circle indicates that -2 is not included in the qualifications for x, but since the arrow is left, x<-2

The radius of a circle is 3/4 inches. How many inches is the diameter?

Answers

Step-by-step explanation:

Given

In a circle

Radius (r) = 3 / 4 inches

Diameter (d)

= 2 * r

= 2 * 3 /4

= 3 /2 inches

Hope it will help :)❤

The diameter of a circle with a radius of 3/4 inches is 6/4 inches.

We are given that;

The radius of a circle = 3/4 inches

Now,

The diameter of a circle is twice the radius of the circle. Therefore, to find the diameter of a circle with a radius of 3/4 inches, we need to multiply 3/4 by 2. We can do this by multiplying the numerators and the denominators:

(3/4) x 2 = (3 x 2)/(4 x 2) = 6/8

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2:

6/8 = (6/2)/(8/2) = 6/4

Therefore, by the circle the answer will be 6/4.

Learn more about the circle here:

https://brainly.com/question/27455535

#SPJ2

Which espression is equivalent to 7^(-2)*7^(6)

Answers

Answer: it’s A and D

Step-by-step explanation:

Al precio de p dólares por unidad, se venden x unidades de cierto artículo al mes en el mercado con p=50-0.5x ¿Cuántas unidades como mínimo se deben vender cada mes con el objetivo de tener ingresos de por lo menos de 1.200 dólares?

Answers

Answer:

Se debe vender un mínimo mensual de 40 artículos para tener un ingreso mínimo de 1.200 dólares.

Step-by-step explanation:

De acuerdo con el enunciado, [tex]x[/tex] es la cantidad mínima de artículos a un precio de [tex]p[/tex]. Además, los ingresos totales deben ser de un mínimo de 1200. En consecuencia, tenemos el siguiente sistema de ecuaciones:

[tex]x \cdot p = 1200[/tex] (1)

[tex]p = 50-0.5\cdot x[/tex] (2)

Aplicando (2) en (1), tenemos la siguiente ecuación polinómica:

[tex]x\cdot (50-0.5\cdot x) = 1200[/tex]

[tex]50\cdot x -0.5\cdot x^{2} = 1200[/tex]

[tex]0.5\cdot x^{2}-50\cdot x +1200 = 0[/tex] (3)

Por la Fórmula de la Cuadrática tenemos las raíces del polinomio:

[tex]x_{1} = 60[/tex], [tex]x_{2} = 40[/tex]

De acuerdo con el resultado anterior, se debe vender un mínimo mensual de 40 artículos para tener un ingreso mínimo de 1.200 dólares.

please help asap <3333333

Answers

Answer:

5. 89

6. 98

7. 90

8. 130

Step-by-step explanation:

they are all equivalent to the one shown

5. 89, angles equal

6. 98, angles equal

7. 90, right angles

8. 130, angles equal

What is 2/3x + 1/3 - 1/3x

Answers

Answer:

1/3x  +1/3

Step-by-step explanation:

2/3x + 1/3 - 1/3x

Combine like terms

2/3 x - 1/3x     +1/3

1/3x         +1/3

Answer:

1/3x + 1/3

Step-by-step explanation:

Solution: put all alphabets and numbers at one side.

2/3x + 1/3 - 1/3x =

2/3x - 1/3x + 1/3 =

1/3x + 1/3

Duane’s scores on the first three math tests this quarter are 82, 74, and 96. Which is the lowest score he could get on the fourth test so that his average score will be at least 80 for the quarter?

Answers

Answer:

84

Step-by-step explanation:

(The sum of 82, 74, and 96 would be 252. And the count of numbers included in the question would be 3, and so you would divide the count from the sum as shown like Sum/Count. In this case it'd be 252/3, and that would equal 84.)

Average =  Sum/Count  

=   252/3  

=  84

Solve by Substitution -8x-10y=12 -7x-10y=3​

Answers

Answer:

Point Form:

(−9,6)

Equation Form:

x=−9,y=6

Step-by-step explanation:

what is the value of the expression shown below 6+(9-1)^2÷4×1/2^4​

Answers

Answer:

280

Step-by-step explanation:

[6 + (9 - 1)²] ÷ 4·(1/2)^4

= 6 + 8² ÷ 4 · 1/16

= 6 + 64 ÷ 1/4

= 70 ÷ 1/4

= 70 x 4

Yes or no ???????????

Answers

It is a right triangle.

Yes because 12^2 + 16^2=20^2

An arctic wooly bear caterpiller lives for 7 years and spends 90% of its life frozen. How many days of its life is the arctic wolly bear frozen.

Answers

Answer:

The arctic wolly bear is frozen 2,299.5 days of its life.

Step-by-step explanation:

With the information provided, first, you have to calculate the number of days in 7 years by multiplying 7 years for 365 that is the number of days in a year:

7*365=2,555

Then, you have to calculate 90% of 2,555 since the statement indicates that the arctic wooly bear caterpiller spends 90% of its life frozen:

2,555*90%=2,299.5

According to this, the answer is that the arctic wolly bear is frozen 2,299.5 days of its life.

What is the measure of RMN? (Don't understand how to get the answer)

Answers

Answer:

RMN+117°=180°

RMN=180°-117°

RMN=63°

SUM OF ANGLE ON A STRAIGHT LINE ADD UP TO 180°

solve for x if 2/3x = 10
a. 20/3
b. 15
c. 9 2/3
d. 10 1/3​

Answers

the answer should be B.15

heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

how do you get to zero

Answers

i don’t understand the question but if you are at -10 then you have to add 10 to get to zero. same applies for any negative number, just add positive of itself. for a positive number, minus itself. for example positive 10 minus positive 10 equals zero.

hurry! points if you answer quickly!

Which table contains a set of ordered pairs that appear to lie in
graph of a linear function?

Answers

Answer:

C

Step-by-step explanation:

It is going up and down by the same amount constantly

go to the website slader and find your math book and it will show you what the function looks like.

PLEASE HELP I NEED THIS ASAP/ Find A ∩ B if A = {3, 6, 9, 12} and B = {2, 4, 6, 8, 10, 12}.
{6, 12} {
24, 48}
{2, 3, 4, 6, 8, 9, 10, 12}

Answers

Answer:

I believe the ans is

A ⋂ B = { 6, 12 }

Explanation :

The set operation intersection contains only the elements that are in both set

A ⋂ B

HELP!!! (the correct answer will be marked as brainliest)
The salary of fast food store branch manager is 3 times more than a part time employee salary, $x per day. Working hours for part time employees are half of the manager's working time, y within a month. If they work 26 days in a month, write the formula for the difference in salary, $z between the two workers in terms of x and y.​

Answers

Answer:

Step-by-step explanation:

Part time workers  daily rate = x.

Managers daily rate y  = 3x.

Find the difference.
2 1/6 - 1 3/6

1/6

3/6

4/6

1 4/6

Answers

Answer:

The difference is 4/6

2 1/6 - 1 3/6 = 4/6

What is the volume, in cubic feet, of this composite figure? (Do not write
the units.) *
1 ft
2 ft
5 ft
3 ft
9 ft

Answers

I think the answer is 5
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