A marketing researcher conducts a test to determine whether the number of chocolate chips per cookie differs significantly across two brands of chocolate chip cookies. A random sample of 10 Chewy Delight cookies reveals a mean of 6.4 chocolate chips per cookie and a standard deviation of 1.1 chocolate chips per cookie. A random sample of 11 Chips Destroy cookies reveals a mean of 5.6 chocolate chips per cookie and a standard deviation of 1.7 chocolate chips per cookie. Assuming unequal population variances, what is the calculated value for the associated test statistic?

Answers

Answer 1

Answer: the value for the associated test statistic is 1.2653

Step-by-step explanation:

Given that;

sample size one n₁ = 10

mean one x"₁ = 6.4

standard deviation one S₁ = 1.1

sample size two n₁ = 11

mean two x"₂ = 5.6

standard deviation one S₁ = 1.7

H₀ : μ₁ = μ₂

H₁ : μ₁ ≠ μ₂

Pooled Variance

sp = √( { [(n₁ - 1) × s₁² + (n₂ - 1) × s₂²] / (n₁ + n₂ - 2)} × (1/n₁ + 1/n₂))

we substitute

= √( { [(10 - 1) × (1.1)² + (11 - 1) × (1.7)²] / (10 + 11 - 2)} × (1/10 + 1/11))

= √( { [(9) × 1.21 + (10) × 2.89]  / (19) } × (0.1909))

= √({[ 39.79 ]  / 19} × (0.1909))  

= √( 2.0942 × 0.1909)

= √( 0.39978 )

= 0.63228

Now Test Statistics will be;

t = ( x"₁ - x"₂) / sp

we substitute

t = ( 6.4 - 5.6) / 0.63228

t = 0.8 / 0.63228

t = 1.2653

Therefore the value for the associated test statistic is 1.2653


Related Questions

Graph: y = 3/4 x + 5

Click or tap the graph to plot a point.

Answers

Answer:

Put the dot on the 5 on the Y-axis

Step-by-step explanation:

Put the initial dot on the 5 on the y-axis (vertical), then it's rise over run if plotting a line. Since it's 3/4 you would go up 3 and over to the right four. You can get the rest of the line by going down 3 from the initial point on five, down left 3.  

why can you use fraction multiplication to check the answer to a fraction division problem? How do you use multiplication to check a division problem​

Answers

Answer:

Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Division and multiplication are inverse operations. This means they "undo" each other. You can check your answer by multiplying the quotient by the divisor. You should get the dividend.i hope this helps:)

Find the slope using the points (0, -2) and (3, 4)

Answers

The answer will be 2x

Solve the equation. Then check your solution.

-8p =-3 1/4

a. 4 3/4
b. - 13/32
c. 13/32
d. 26​

Answers

the answers c. 13/32

Answer:  C

Step-by-step explanation:

-8p = -3 1/4   The first think you want to do is convert the mixed fraction into an improper fraction.

-8p =  -13/4   Now multiply both sides of the equation by 4.

-32p = -13     Divide both sides by -32

p = 13/32

- 11/5 -2.4 1.6 15/10 - 2.25 in order from least to greatest

Answers

Answer (least to greatest):

-2.4-2.25-11/515/101.6

I hope this helps!

Answer:

1.6,- 11/5 ,2.25 , -2.4 15/10

Step-by-step explanation:

What is the solution to this system of equations?
2x-5y=-3
y=16-4x

Answers

Answer:

2x-5y=-3

Slope=  2.000 /0.800

​x-intercept=-3/2=-1.50000

y-intercept=3/5=0.60000

y=16-4x

Slope=-8.0000/2.0000=-4.000

x-intercept=16/4=4

y-intercept=6/1=16.00000

Step-by-step explanation:

PLZ Help!!! Best answer gets Brainliest!!!

Answers

Answer:

Yes

Step-by-step explanation:

There is a steady increase (non-changing) between both the x and y columns, so I know this is a proportional relationship.

I hope this helps!

A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The base of the lot is 72.2 feet and the width is 50 feet. Complete the following statements about the park they can build on the lot.What size will the park be?

If the neighborhood wants to know the amount of fencing needed to go around the park, it will need to find the _______.

What is the exact amount of fencing they will need?

(will mark brainliest to best answer).

Answers

area

i took the test and got a 100                                          

Answer:

area, 244.4

Step-by-step explanation:

sorry it late

What is the are of parallelogram ABDC?

Answers

Answer:

9 cm2

Step-by-step explanation:

area=3×3=9cm2

.....

Answer:

9 cm^2

Step-by-step explanation:

inside the parallelogram, two right angled triangles form.

Use the formula, A = [tex]\frac{1}{2}[/tex] x base x height (Area of a triangle) and multiply by 2 as there are two triangles. So,

A = ([tex]\frac{1}{2}[/tex] x base x height) x 2

   = ([tex]\frac{1}{2}[/tex] x 3 x 3 ) x 2

   = 9 cm^2

00:00
What is the number of terms in this expression?

m
5
+4x6
5
Enter your answer in the box.

Answers

Answer:

40

Step-by-step explanation:

How many cubic inches are in one-sixth of one cubic yard?

Answers

Cubic Yards to Cubic Inches Conversion 1 Cubic yard is equal to 46656 cubic inches. To convert cubic yards to cubic inches, multiply the cubic yard value by 46656.

Answer:

7776

Step-by-step explanation:

sana is senior to Mona by 18 years after 6 years.Sana will be twice as old as Mona. find Mona,s percentage​

Answers

Let
Present age of Sana = s
Present age of Mona = m


Sana is senior to Mona by 18 years
s=m+18............(1)

After 6 years
Sana will be = s+6
Mona will be = m+6
Then
Sana will be twice as old as Mona
(s+6)=2(m+6)
s+6=2m+12
s=2m+12-6
s=2m+6.............(2)
Put the value of s from (2) to (1)
2m+6=m+18
2m-m=18-6
m=12
Put the value of m in (1)
s=m+18
s=12+18
s=30



Present age of Sana = s = 30 years old
Present age of Mona = m = 12 years old

WILL MARK BRAINLIEST PLEASE ANSWER 12/15+5/15 1 NUMBER FOR EACH SLOT

Answers

Answer:

17/15

Step-by-step explanation:

or if u reduce it would be 12/15

15. At a football match, 10 men bought either a pie or a cup of
coffee. A pie costs 60p and a coffee costs 50p. The total
amount spent on pies and cups of coffee was £5.80. How many
of each must have been bought?​

Answers

Answer:

8 pies and 2 coffees must have been bought.

Step-by-step explanation:

Given that:

10 men bought either a pie or a cup of coffee.

Cost per pie = 60p

Cost per coffee = 50p

Total amount spent = £5.80 * 100 = 580p

Let,

x be the number of pies

y be the number of coffees

According to given statement;

x+y = 10     Eqn 1

60x+50y=580    Eqn 2

Multiplying Eqn 1 by 50

50(x+y=10)

50x+50y=500      Eqn 3

Subtracting Eqn 2 from Eqn 3

(60x+50y)-(50x+50y) = 580-500

60x+50y-50x-50y=80

10x=80

Dividing both sides by 10

[tex]\frac{10x}{10}=\frac{80}{10}\\x=8[/tex]

Putting x=8 in Eqn 1

8+y=10

y=10-8

y=2

Hence,

8 pies and 2 coffees must have been bought.

An experienced carpenter can panel a room 3 times faster than an apprentice can. Working together, they can panel the room in 6 hours. How long would it take each one working alone to do the job

Answers

Answer:

experienced carpenter would need 1 and 1/2 hours

apprentice would need 4 1/2 hours

Step-by-step explanation:

experienced = e

apprentice = 3e

3e + e = 6

4e = 6

e = 6/4 or 3/2

6 - 3/2 = 9/2

(18 POINTS!!!) When Katie installed a fence along the 200-
fixed perimeter of her rectangular backyard,
she left an op an opening for a gate. What is
the value of x, if the equation
2(x+ 60) + 2(300) = 200

Answers

Answer:

-260

Step-by-step explanation:

Answer:

x = -260

Step-by-step explanation:

TARGET SELLS 24 BOTTELS OF WATER FOR 3 DOLARS AND 36 DOLARS WHICH IS THE BETTER BUY AND BY HOW MUCH

Answers

Answer:

The 36-pack is a better buy by $0.50 per 36 bottles.

Step-by-step explanation:

24 bottles for $3 compared to 36 bottles for $4

Unit rates:

$3/24 = $0.125/bottle

$4/36 = $0.111/bottle

The 36-pack is a better buy since the unit price is lower.

$0.125 - $0.111 = $0.013888...

$0.01388888... * 36 = $0.50

Answer: The 36-pack is a better buy by $0.50 per 36 bottles.

Use the linear equations to answer the questi
y= -3
y= x+2
Which statement about the lines is true?

Answers

Answer: Though no choices of statements are shown, you can predict that x+2=-3, since both numbers are equal to y. (This isn't really an answer but I hope it'll at least help you in some way!)

-By subtracting 2 on both sides, you end up with x=-5. So in both equations, y is -3 and x is -5.

-The point where they intersect is (5,-3)

A large aquarium has 6 more fish than a small aquarium. There are 19 fish in the large aquarium. How many fish are in the small aquarium

Answers

Answer: 13

Step-by-step explanation:

Answer: 13jxjxjddhhdhdddhhdhd

help algebra 1 !! help me with this question

Answers

the answer is 100% C.

mark me brainliest

1. Change the following into 12 hour clock time
a) 1720 hours. b)0235 hours​

Answers

Answer:

A) 5:20 pm

B) 2:35 am

Step-by-step explanation:

The hours in am are from 00:00 - 12:00, the numbers after 12 for example 17, you subtract 12 and the remaining is the hours and what is left of the number for example 20 is the minutes.

I am horrible at explaining but I hope this helps...  :)

Answer:

a) 5:20

b) 2:35

Step-by-step explanation:

a) Subtract 12 from the 17 at the beginning of 1720, leaving you with 5. This is the hour component of standard time, and will be placed on the left side of the colon (5:__). Then, put  the last two digits onto the other side of the colon in standard time like so: 5:20.

b) For this one, because the first two digits don't exceed twelve, you simply have to divide the first two digits from the last two digits and put a colon between them: 02:35, or 2:35.

simplify solution
[tex]6 \sqrt{4 \sqrt{2} } [/tex]

Answers

Answer:

16.97

Step-by-step explanation:

16.97 should be the answer

Which one is it? Please answer

Answers

Answer:

b

24 ÷ 5 = x

X  ×  8 = 44

We need to find the homeownership proportion in Southern California. The homeownership proportion is believed to be around 50%. How many householders would you survey for a 93% CI where the maximum likely sampling error is 1.5%?

Answers

Answer:

The value is  [tex]n = 3648 [/tex]

Step-by-step explanation:

From the question we are told that

     The sample proportion is  [tex]\^ p = 0.5[/tex]

     The margin of error is  [tex]E = 0.015[/tex]

From the question we are told the confidence level is  93% , hence the level of significance is    

      [tex]\alpha = (100 - 93 ) \%[/tex]

=>   [tex]\alpha = 0.07[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.812[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{ 1.812 }{ 0.015} ]^2 *0.5 (1 - 0.5 ) [/tex]  

=>  [tex]n = 3648 [/tex]

 

Which operation is NOT closed for polynomials?
es )
A)
add a trinomial to a trinomial
B)
divide a binomial by a trinomial
multiply a binomial by a binomial
D)
subtract a binomial from a trinomial

Answers

Answer:

B)  divide a binomial by a trinomial

Step-by-step explanation:

We know that the polynomials are very nearest to the addition, subtraction and the multiplication part but the same cannot happen under the division part since the division of two polynomials could not become a polynomial it is not necessary  condition that it could become a polynomial

So if we divide the binomial by a trinomial therefore it would provides a rational expression and have a negative exponent and a negative exponent is not permitted under the polynomial

Therefore the option B is correct

Can someone answer please ​

Answers

Answer:

9

Step-by-step explanation:

thank me later :)

I’m pretty sure the answer is 9.

The sum of two numbers is -10.5. Can one of these addens be positive and the other negative? Provide an example to prove your answer.

Answers

Step-by-step explanation:

In order for the solution of a problem to be negative, you need one negative number and one positive number. Same goes for when having a positive sum, you know that the equation has an even number of negative numbers.

-6 + 3 = -3

You get -3 because you have both a positive and negative number in the equation.

Alison can swim 75 feert in 12 seconds. What is he rate to the nearest mile per hour?.

Answers

Answer:

in an hour she can swim around 22,500 feet which is about 4.26 miles

Step-by-step explanation:

Answer:

22,500 miles per hour

Step-by-step explanation:

60 seconds in a minute times 60 minutes in one hour. 3600

Divide that by 12 then multiply by 75 to get your answer

PLZ MARK BRAINLIEST

Find the absolute maximum and absolute minimum values of f on the given interval.

f(x) = xe^−x^2/32, [−2, 8]

Answers

The question is missing parts. Here is the complete question.

Find the absolute maximum and absolute minimum values of f on the given interval.

[tex]f(x)=xe^{-\frac{x^{2}}{32} }[/tex] , [ -2,8]

Answer: Absolute maximum: f(4) = 2.42;

              Absolute minimum: f(-2) = -1.76;

Step-by-step explanation: Some functions have absolute extrema: maxima and/or minima.

Absolute maximum is a point where the function has its greatest possible value.

Absolute minimum is a point where the function has its least possible value.

The method for finding absolute extrema points is

1) Derivate the function;

2) Find the values of x that makes f'(x) = 0;

3) Using the interval boundary values and the x found above, determine the function value of each of those points;

4) The highest value is maximum, while the lowest value is minimum;

For the function given, absolute maximum and minimum points are:

[tex]f(x)=xe^{-\frac{x^{2}}{32} }[/tex]

Using the product rule, first derivative will be:

[tex]f'(x)=e^{-\frac{x^{2}}{32} }(1-\frac{x^{2}}{16} )[/tex]

[tex]f'(x)=e^{-\frac{x^{2}}{32} }(1-\frac{x^{2}}{16} )[/tex] = 0

[tex]1-\frac{x^{2}}{16}=0[/tex]

[tex]\frac{x^{2}}{16}=1[/tex]

[tex]x^{2}=16[/tex]

x = ±4

x can't be -4 because it is not in the interval [-2,8].

[tex]f(-2)=-2e^{-\frac{(-2)^{2}}{32} }=-1.76[/tex]

[tex]f(4)=4e^{-\frac{4^{2}}{32} }=2.42[/tex]

[tex]f(8)=8e^{-\frac{8^{2}}{32} }=1.08[/tex]

Analysing each f(x), we noted when x = -2, f(-2) is minimum and when x = 4, f(4) is maximum.

Therefore, absolute maximum is f(4) = 2.42 and

absolute minimum is f(-2) = -1.76

The absolute maximum and absolute minimum values of f(x) are 2.426 and -1.765, respectively.

The function is given as:

[tex]\mathbf{f(x) = xe^{-\frac{x^2}{32}}}[/tex]

Start by differentiating the function

[tex]\mathbf{f'(x) = e^{-\frac{x^2}{32}} - \frac{x^2}{16}e^{-\frac{x^2}{32}}}[/tex]

Set to 0

[tex]\mathbf{ e^{-\frac{x^2}{32}} - \frac{x^2}{16}e^{-\frac{x^2}{32}} = 0}[/tex]

Rewrite as:

[tex]\mathbf{ \frac{x^2}{16}e^{-\frac{x^2}{32}} = e^{-\frac{x^2}{32}}}[/tex]

Cancel out common factors

[tex]\mathbf{ \frac{x^2}{16}=1}[/tex]

Multiply both sides by 16

[tex]\mathbf{ x^2=16}[/tex]

Take square roots of both sides

[tex]\mathbf{ x=\pm 4}[/tex]

The interval is given as: [-2,8]

This means that the value of x = -4, is out of the interval.

So, we have the following critical points:

x = (-2, 4, 8)

Calculate f(x) at the these points

[tex]\mathbf{f(-2) = -2 \times e^{-\frac{(-2)^2}{32}}}[/tex]

[tex]\mathbf{f(-2) = -2 \times e^{-\frac{4}{32}}}[/tex]

[tex]\mathbf{f(-2) = -1.765}[/tex]

[tex]\mathbf{f(4) = 4 \times e^{-\frac{(4)^2}{32}}}[/tex]

[tex]\mathbf{f(4) = 4 \times e^{-\frac{16}{32}}}[/tex]

[tex]\mathbf{f(4) = 2.426}[/tex]

[tex]\mathbf{f(8) = 8 \times e^{-\frac{(8)^2}{32}}}[/tex]

[tex]\mathbf{f(8) = 8 \times e^{-\frac{64}{32}}}[/tex]

[tex]\mathbf{f(8) = 1.083}[/tex]

By comparison, the absolute maximum and absolute minimum values of f(x) are 2.426 and -1.765, respectively.

Read more about absolute maximum and absolute minimum values at:

https://brainly.com/question/12752779

Which best describes a system of equations that has no solution?
-consistent, independent
-inconsistent, dependent
-consistent, dependent
-inconsistent
thank you for your help ​

Answers

Answer: inconsistent

Step-by-step explanation:

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