Data on the weights​ (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal.

Diet  Regular
u u1 u2
n 36 36
x overbar 0.78616 lb 0.81111 lb
s 0.00444 lb 0.00752 lb 

a. The test​ statistic, t:________
b. P-Value: ________
c. Conclusion of test
d. Construct a confidence interveral appropriate for the hypothesis test.
e. Does the confidence interval support conclusion of hypothesis test?

Answers

Answer 1

Answer:

Test = 17.143 ;

Pvalue = 0 ;

Reject the Null ;

(-0.028 ; - 0.022) ;

We conclude that content are different.

Step-by-step explanation:

Given that:

μ1 = μ

n1 = 36 ; n2 = 36

x1 = 0.78616 ; x2 = 0.81111

s1 = 0.04444 ; s2 = 0.00752

Test statistic :

(x1 - x2) / √(s1²/n1 + s2²/n2)

(0.78616 - 0.81111) / √(0.00444²/36 + 0.00752²/36)

- 0.02495 / 0.0014554

= 17.143

Pvalue :

Z < 17.143

Pvalue = 0

Since Pvalue < α ; Reject the Null

The confidence interval using a confidence interval calculator is (-0.028 ; - 0.022)

Since the interval does not contain Zero ; then we reject the Null and conclude that the content are different.


Related Questions


What number is ten less than 658?

Answers

Answer:

648 is the answer

Step-by-step explanation:

658-10=648

In this composite function, (g◦f)(x) where f(x)=(X-3) and g(x)=X^2 what is (g◦f)(x) when x=1?

(g◦f)(1)=4
(g◦f)(1)=-4
(g◦f)(1)=-2
(g◦f)(1)=2

Answers

the answer would be b
The answer is (Gof)(1)=2

Translate this sentence into an equation. The sum of 16 and Delia's height is 74. Use the variable d to represent Delia's height.

Answers

The answer is :

16+d=74
“Sum” is the answer to an addition problem
“Is” always means equals (=)
“d” is the variable representing Delia’s height

So the answer is:
16+d=74

What is the difference of the whole number and the mixed number with an improper fraction below? 8 7/4 -7 A. 2 1/2 B. 2 3/4 C. 4 3/4 D. 2 1/4

Answers

Answer:

D. 2 1/4

Step-by-step explanation:

8 7/4 - 7

9 3/4 - 7

2 1/4

How many 5 digit zip codes are possible? Zero can be a digit.

Answers

Answer:

There are ten possible digits (0 to 9).

If they can be repeated, you're looking at 10 * 10 *10 * 10 * 10, or 105

This means 100000 possible zip codes if repeatable.

If not, you're looking at one less each time:

10 * 9 * 8 * 7 * 6

90 * 56 * 6

540 * 56 = 30240 zip codes without any repetitions.

What is the value of the expression shown? 10 - 16:2
[tex]10 - 16 \div 2[/tex]

Answers

Divide 16 by 2 first following PEMDAS.

10 - 8

Solve

2

A transformation is applied to the graph of f (x) = 2x2 + 3x - 4 to create a new graph for g(x) = 2x2 + 3x + 7.
Which statement describes the transformation?
OA. The graph will shift up 7 units.
OB. The graph will shift up ll units.
O C. The graph will shift down 7 units.
OD. The graph will shift down 11 units.

Answers

Answer:

b

Step-by-step explanation:

Can someone please help me I will mark u brillant

Answers

Answer:

I'm sorry for answering like that, so here is my actual answer: It is the third one. Again I'm very sorry.

Step-by-step explanation:

Answer:

The last option

Don't mind this it's just so I can post the answer.

how many feet in 3 yards​

Answers

Answer:

there's 9 feet

 hop this help

Step-by-step explanation:

the way i got it was multiply the length value by 3

braniest plz

Answer:

there would ve 9 feet in 3 yards

The area of a rectangular shaped pool is 64 squared meters. The width is 9 meters. Write and solve an equation to determine the length of the pool. Show work.

Answers

Answer:

7.11

Step-by-step explanation: Area=lengthxwdth

64=lengthx9

64/9=length

7.11=length

can anyone help pls it's hard

Answers

Answer:

[tex](A\cap B)\cap U[/tex]

Step-by-step explanation:

"And" indicates taking the intersection of two sets.

You want numbers that are in all three sets: multiples of 5, multiples of 2, and all 4-digit numbers.

Find the circumference of the circle.radius of 44 in Use 3.14 or 22/7

Answers

Answer:

hi i do not know but i love the app

A quarter has a mass of 0.006 kilograms. What place value is the six in this
number?

Answers

the 6 would be the thousandth

Answer:

It is in the thousandths place

Step-by-step explanation:

The first number after the decimal is the tenths place. 0.006

The second number after the decimal is the hundredths place. 0.006

The third number after the decimal is the thousandths place. 0,006

Hope this helps!

Solve the proportion 7/5=21/x

Answers

Answer:

=15

Step-by-step explanation:

Use technology to construct an appropriate model of the data,
(0.1). (1, 2), (2, 3), (3,-2), (4.1)

Answers

Answer:

Quadratic model

Step-by-step explanation:

Given the data :

(0.1). (1, - 2), (2, - 3), (3,-2), (4.1)

The above data point when plotted using technology gives a quadratic model with the equation : x² - 4x + 1

With the quadratic regression model for the data above, we obtain a correlation Coefficient of 1 ; which means a perfect relationship exists between the x and y variables.

The expected value of a fair 6-sided die is 3.5.
Which of the following statements are true?
Choose all answers that apply:
А
3.5 is one of the possible outcomes of rolling a fair 6-sided die.
A fair 6-sided die is more likely to land on the number 4 than the number 6.
If you rolled a fair 6-sided die a large number of times, you should expect the average of the
numbers rolled to be about 3.5.

Answers

Answer: if you roll a fair 6 sided for a large number of times the average would be 3.5

Step-by-step explanation:

Khan

I need the answer pls fast

Answers

Answer:

B. 215cm^2

Step-by-step explanation:

180 + 35

Answer: B. 215

Step-by-step explanation:

I found the answer button.

The full height is 20, and the height of the parallelogram is 10. So that means the triangles height is 20-10=10. The top and bottom sides of a parallelogram are the same, so the base of the triangle is 18-(6+5)=7. So the area of the triangle is (7x10)/2=35. The area of a parallelogram can be count that same way as a regular rectangle. So 18x10=180. Putting those two together, 35+180=215.

A clinical trail tests a method designed to increase the probability of conceving a girl. In the study 280 babies were born, and 252 of them were girls. Use thr sample data to construct a 99%, confidence interveral estimate of the percentage of girls vorn. Baced on the result foes the method appesr to be effective?

Answers

Here is the answer have a great day

If A is the center of the circle, then which statement explains how segment ED is related to segment FD?

Answers

Answer:

 ED ≅  FD because segment EF is perpendicular to a radius of circle A.

Step-by-step explanation:

The statement that explains how ED is related to FD is: ED = FD because segment EF is perpendicular to a radius of circle A.

What is Does Pendicular mean?

When a segment is perpedicular to the radius of a circle, it forms a right angle at the center of the segment that is intersected by the radius of the circle.

In the diagram given, based on what perpedicular mean, ED = FD because segment EF is perpendicular to one of the radii, DA, of the circle.

Therefore, the statement that explains how ED is related to FD is: ED = FD because segment EF is perpendicular to a radius of circle A.

Learn more about perpendicular segment on:

https://brainly.com/question/1202004

willa is shopping at the mall. An outfit that she likes has 3 different styles of the top, a choice of a skirt or slacks, and 4 different belts. How many different combination does Willa have have to choose from?
A: 2
B: 6
C: 12
D: 24​

Answers

Answer:

c

Step-by-step explanation:

CAN SOMEONE HELP A DUMMY OUT PLZ
Find the value of h for the triangle.
A14
h=1

No links plz :)
Thanks:)!!

Answers

9514 1404 393

Answer:

  5.3

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh . . . . where b is the base length and h is the height.

The figure gives an area and shows b=h, so we have ...

  14 ft² = 1/2(h)(h)

  28 ft² = h² . . . . . . . . . multiply by 2

  h = √28 ft ≈ 5.3 ft . . . . . take the square root

I'm confused can someone please help?

Answers

Answer:

your answer is C i hope this helps sorry if i am wrong

Step-by-step explanation:

5, 8, II, 14 ...
The pattern is
Next 2 terms =​

Answers

Answer:

the next two terms are 17, 20

Step-by-step explanation:

add 3 to each term

Example

5+3 = 8

8+3= 11

11+3= 14 etc.

Answer:

17 And 20

Step-by-step explanation:

The pattern is add 3

Evaluate. Write your answer as a fraction in simplest form.
(4/3)2

Answers

Answer:

8/ 3

Step-by-step explanation:

Answer: 8/3

Step-by-step explanation: you would multiply the numerator (top number 4) by 2 and get 8/3 as a decimal it would be 2.6 repeated and as a mixed number it would 2 and 2/3

Hope this helps (^_^)

There are 4 blood types, and not all are equally likely to be in blood banks. In a certain blood bank, 49% of
donations are Type O blood, 27% of donations are Type A blood, 20% of donations are Type B blood, and 4% of
donations are Type AB blood. What is the expected number of donations until the first Type AB donation is
received?
02.127
4
O24.495
25

Answers

Answer:

Step-by-step explanation:

they get 4%  or 4 out of ever 100.  that's 25 for one AB donation.

An object that weighs $1$1​ pound on Earth weighs about $\frac{1}{15}$
1
15​​ pound on Pluto. A man weighs 240$240$240​ pounds on Earth. How many pounds does he weigh on Pluto?

Please help

Answers

Answer:

look it up that ushally helps

Step-by-step explanation:

Please help me asap i need help i will give 10 points

Answers

Answer:

C. 189

Step-by-step explanation:

Each triangle is 27 which makes it 108, and 108+81=189

Surface area = sum of all area, which is the total of 4 triangles and 1 square.

1 square = 9 x9 = 81

each triangle = (6 x 9)/2 = 27

so 4 triangles = 27 x 4 = 108

=> total = 108+ 81 = 189

Plz help me well mark brainliest if correct!!....

Answers

Answer:

a. 28 centimeters

it’s. C


i think sooooooooo

If each collectible coin weighs 2.5 grams, how much do 3 collectible coins weigh all together?
A) 9.5 grams
B) 8.5 grams
7.5 grams
D 6.5 grams

Answers

Answer:

Hello! answer: 7.5 grams

Step-by-step explanation:

To find the answer we simply just do 2.5 × 3 so... 2.5 × 3 = 7.5 so 7.5 grams is the answer! Hope that helps!

1 mark question plese give me answer​

Answers

110 is the answer because

Answer:

x = 110

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x° is an exterior angle of the triangle, then

x = 60 + 50 = 110

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