Two chemical companies can supply a raw material. The concentration of a particular element in this material is important. The mean concentration for both suppliers is the same, but you suspect that the variability in concentration may differ for the two companies. The standard deviation of concentration in a random sample of
n1=10
batches produced by company 1 is
s1=4.7
grams per liter, and for company 2, a random sample of
n2=16
batches yields
s2=5.8
grams per liter. Is there sufficient evidence to conclude that the two population variances differ? Use α = 0.05.

Answers

Answer 1

Answer:

As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the variability in concentration may differ for the two companies. Hence Ha is rejected and H0 is accepted.

Step-by-step explanation:

As we suspect the variability of concentration F - test is applied.

n1=10    s1=4.7

n2=16      s2=5.8

And α = 0.05.

The null and alternate hypothesis are

H0: σ₁²=σ₂²       Ha:  σ₁²≠σ₂²

The null hypothesis is  the variability in concentration does not  differ for the two companies.

against the claim

the variability in concentration may differ for the two companies

The critical region F∝(υ1,υ2) = F(0.025)9,15= 3.12

and 1/F∝(υ1,υ2) = 1/3.77= 0.26533

where υ1= n1-1= 10-1= 9 and υ2= n2-1= 16-1= 15

Test Statistic

F = s₁²/s₂²

F= 4.7²/5.8²=0.6566

Conclusion :

As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the variability in concentration may differ for the two companies. Hence Ha is rejected and H0 is accepted.


Related Questions

x = -3.
3.2 2 - 16=(x-1)=?

Answers

Answer:

dvide it

Step-by-step explanation:

The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges 1 for the first time they service your lawn, and the price will multiply by a factor of 0.90 every week thereafter. Green Thumbs charges 400 for the first time they service your lawn, and then charges an additional 45 every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save?

Answers

Do you need help or u just wanted the answer

I need help with this now

Answers

Answer:

80

hope this is correct

comment below

hope this helps you ☺️☺️

what is the value of v in 2.5v = 125

Answers

Answer: v=50

Step-by-step explanation:

 2.5 v=125

v=125/2.5

v=50

Answer:

v=50

Step-by-step explanation:

[tex]\frac{2.5v}{2.5} =\frac{125}{2.5}[/tex]    divide both sides by 2.5 to isolate v

v=50

Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.


Can you please do the problem using the formula A(t)=pe^(rt).

Answers

Answer:

1780.43

Step-by-step explanation:

Given:

P = 800

r = 10% or 0.1

t = 8

1780.43 i just took the test jit

What is the product of -8 and -7

Answers

Answer:56

Step-by-step explanation: -8x-7=56

Answer: -15

Step-by-step explanation: it will just give you a higher negative number it is literally the opposite from positive equations if u have to negative numbers u add them if there is a negative AND a positive then you substract them :)

I need help on the pcture​

Answers

Answer:

Where is it?

Step-by-step explanation:

You need to add a picture

There are 920 calories in 5 servings. Find the unit rate.

Answers

Answer:

184

Step-by-step explanation:

920 divided by 5 is 184 which makes it unit rate

Find the third quartile Q3 of the list of 24 sorted values shown below.
30 31 31 37 38 38 39 39 42 42 43 46 47 48 50 52 54 57 61 63 68 69 76 79
The third quartile Q3 is
(Type an integer or a decimal.)

Answers

Answer:

60

Step-by-step explanation:

The computation of the third quartile is given below:

The third quartile Q3 is

= 3(n + 1)÷ 4

= 3 (24 + 1) ÷ 4

= 75 ÷ 4

= 18.75th term

Now the 18.75th term is

= 18th term + 0.75 term

= 57 +  (19 term - 18term)

= 57 +  0.75 (61 - 57)

= 57 + 0.75 (4)

= 60

help me please and answer correctly people answer wrong on purpose ​

Answers

Sorry for not answering your question but please I am telling you guys don’t fall for someone when they send you links here like this first person above me he send a link don’t press it y’all don’t this is really bad it makes your phone really bad

What percent of the model is shaded green?

Answers

Answer:

1/5%

Step-by-step explanation:

The percentage of the model shaded green will be 20.

How to find how much percent 'a' is of 'b'?

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

(in percentage)

The total number of the box in the figure is 100.

The total number of shaded green = 20

So,

[tex]\dfrac{20}{100} \times 100[/tex]

20%

Therefore, The percentage of the model shaded green will be 20.

Learn more about percent here:

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help me with this please ​

Answers

Answer:

A

Step-by-step explanation:

Brainliest PLEASE

find the vertex h(r)=r^(2)+11r-26 PLEASE HELP ME FIGURE THIS OUT

Answers

Answer: Look at the picture

Step-by-step explanation: Hope this help :D

(4-3i)(1+2i)
I have so many of these

Answers

Answer:

-6i^2+5i+4

Step-by-step explanation:

Rearrange Terms

(-3i+4)(1+2i)

(-3i+4)(2i+1)

Distribute

-3(2i+1)+4(2i+1)

-6i^2-3i+4(2i+1)

-6i^2-3i+4(2i+1)

-6i^2-3i+8i+4

Combine Liker Terms

-6i^2+5i+4

Solution

-6i^2+5i+4

Answer:

-2 + 5i

Step-by-step explanation:

Remember these rules:  

real times real = real (e. g., 4(1) = 4)

real times imaginary:  imaginary (e. g., 4(2i) = 8i)

imaginary times real imaginary

imaginary times imaginary:  real with a negative sign (e. g., (-3i)(2i) = +6

          Once again:  work out (-3i)(2i).  We get (i^2)(-6) = +6

In summary:  your (4-3i)(1+2i) becomes 4 + 8i - 3i - (i^2)(-6), or

                                                                 4 + 5i - 6, or   -2 + 5i

solve this equation -3x - 8 = 18

Answers

8.67 (rounded to the nearest tenth)

Heeeeeeeelp pleaaase

Answers

Answer:

13u√2u

Step-by-step explanation:

Remark

Removing factors from under the square root sign means factoring the numbers into prime factors. If there are an even number of equal prime factors, take one out and throw one away for all the primes that are the same. An odd number of factors always leaves 1 under the root sign.

For example

u^3 = u * u * u

One of the u's will be left behind. Of the two others, one will be discarded and one will be taken outside the root sign.

√u^3 = √(u * u * u) = u√u

one u taken out. 1  u left behind 1  u discarded.

Question Breakdown

8√72u^3 = 8√2*2*2*3*3 u^3 = 8* 2*3 * u * √2u = 48u*√2u7√128u^3 = 7√(2*2*2*2*2*2*2 u^3) = 7*2*2*2 √2u = 56u√2u3u*√98u = 3u * √(7*7 * 2*u) = 21u√2u

Answer

48u√2u - 56√2u + 21u√2u

13u√2u

A random sample of 146 recent donations at a certain blood bank reveals that 81 were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood

Answers

Answer:

We reject H₀  the actual percentage of type A donations differs from 40%

Step-by-step explanation:

Sample information:

sample size   n = 146

Type A   x₁  =  81   and   p₁  = 81 / 146     p₁  =  0,5547

then  q₁   =  1 - p₁    q₁  =  1  -  0,5547    q₁  =  0,4453

We choose as significance level  α  = 5%  α = 0,05   α /2  = 0,025

from z-table we find   z (c) = 1,96

National % of the population  ( μ  = 40 %  μ = 0,4 )

Test hypothesis

Null hypothesis                           H₀           p₁  =  μ

Alternative Hypothesis              Hₐ           p₁   ≠ μ

The Alternative hypothesis indicates that the test is a two-tail test

z(s) =  ( p₁  -   μ )/ √ p₁*q₁ / n

z(s) =  ( 0,5547  -  0,40 )/ √ 0,5547*0,4453 / 146

z(s) =  0,1547 / 0,041

z(s) = 3,77

Comparing  z(s)  and z(c)

z(s) > z(c)  

z(s) is in the rejection region. We reject H₀. Sample does not give evidence to support that the actual percentage of type A donations is equal to the national population

For the rectangle shown, which equation can be used to find the value of x?​

Answers

Answer:

Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\x^{2} +3.6^{2} =7.4^{2} \\x^{2} +12.96=54.76\\x^{2} =\sqrt{41.8} \\x=6.47\\[/tex]

The value of x is 6.46 inch.

What is Pythagoras theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Given: breadth = 3.6, diagonal= 7.4

Using Pythagoras theorem,

H²=P²+B²

(7.4)²= (3.6)²+B²

54.76=12.96 + B²

54.76-12.96=B²

41.8= B²

B= 6.46 inch.

Hence, the value of x is 6.46 inch.

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Solve for x.



O 72.5
O 31.6
O 26
O 11.9

Answers

answer 11.9


D aka))h)

Algebraic Expression:
There are c cyclists in a cycle race. 3/4 of the cyclists finish the race. How many cyclists did not finish the race?

Answers

Answer:
c - 3/4
Explanation:
Subtract 3/4 from c to find how many cyclists did not finish the race.

hi can anyone help me with this

Answers

Answer:

i think you should multiply 6cm by 8 cm by 10 cm ..sorry if it was not vlear but i try:)

A bottled water distributor wants to determine whether the mean amount of water contained inâ 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.008 gallon. You select a random sample of 50 bottles, and the mean amount of water perâ 1-gallon bottle is 0.995 gallon.

Required:
a. Is there evidence that the mean amount is different from 1.0 gallon?
b. What is the test statistic?
c. Compute theâ p-value and interpret its meaning.
d. Construct a 95% confidence interval estimate of the population mean amount of water perâ 1-gallon bottle.

Answers

Answer:

1. There is evidence that mean is different from 1.0 gallon

2. test statistic = -4.42

3. p value = 0.00001

4. 0.9928,0.9972

Step-by-step explanation:

h0: u = 1.0

h1: u not equal to 1.0

alpha = 0.05

sd = 0.008

n = 50

mean = 0.995

standard error se = 0.008/√50 = 0.00113

test statistics calculation

0.995-1/0.00113

= -0.005/0.00113

= -4.42

p value calculation

using the z test statistics and alpha = 0.05

the p value using a p value calculator = 0.00001

0.00001<0.05

so we Reject the null hypothesis

we conclude there is enough evidence that mean is different from 1.0

95% confidence interval

Z alpha/2 = 0.025

we find z value using excel function

NORMSINV (0.025)

|Z| = 1.96

Standard error se = 0.00113

margin of error E = 1.96 x 0.00113 = 0.0022148

confidence interval =

0.995 - 0.0022148, 0.995 + 0.0022148

= 0.9928, 0.9972

HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

I'd say D

Step-by-step explanation:

I need help will mark brainlist

When solving -1/8 (x + 35) = - 7, what is the correct sequence of the operations?

1. multiply each side by -1/8, add 35 to each side

2. multiply each side by -1/8, subtract 35 from each side

3. multiply each side by -8, subtract 35 from each side

4. multiply each side by -8, add 35 to each side​

Answers

Answer:

The correct option is 3.

Step-by-step explanation:

By multiplying each side by -8, you can get rid of the fraction. Then by subtracting 35 from both sides, you get what is x.

sorry if its twisted but i need help in # 3 please :)

Answers

Answer:

knsy standard ka question hy

Step-by-step explanation:

Find the 70th term of the arithmetic sequence 29, 17, 5

Answers

Answer:

857

Step-by-step explanation:

70th term = a + d(n-1)

d= 29-17=12

a=29

n-1 = 69

70th term = 29 + 12×69

= 29 + 828

= 857

Write an equation to represent the following description. Seventeen more than eight times a number is −6.

Answers

8x + 17 = -6


(you can use a different variable to replace x if you need to :D)

Lee la siguiente información.
En una olimpiada matemática, cada estudiante recibe un punto por cada pregunta acertada que tenga, en la siguiente tabla de frecuencias se muestra la clasificación de la cantidad de estudiantes de acuerdo con su puntaje obtenido.



De acuerdo con la tabla, ¿cuál es aproximadamente la desviación estándar?
A.
6,12
B.
7
C.
8,42
D.
9

Answers

La desviación estándar se puede calcular mediante la fórmula

S = √∑fx² / n - (∑fx / n) ²

La desviación estándar es 6,12

Poner los valores de la tabla en la hoja de Excel dada.

s = √381430 / 60 - (4770/60) ²

s = √6357.167 -6320.25

s = √36,917

s = 6,0759

Cuando se redondea daría 6,1

The standard deviation can be calculated using the formula

S= √∑fx²/n - (∑fx/n)²

The standard deviation is 6.12

Putting the values from the table in the given excel sheet.

s= √381430/60 - (4770/60)²

s= √6357.167 -6320.25

s= √36.917

s= 6.0759

When rounded would give 6.1

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Pls help 10 ptsssssssssssss
NO LINKS

Answers

4.5. 4x4.5=18. 18 divided by 4 is 4.5

PLZ IT'S VERY IMPORTANT
Find the perimeter​

Answers

Answer:

118 cm

Step-by-step explanation:

8 + 16 + 22 + 29 + (29-16) + (8+22) = 118 cm

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