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

I need he answer pls answer fast answer don’t scam

Answers

Answer:

30 ft²

Step-by-step explanation:

Area of trapezium = 1/2 (a + b)h

a = 6 ft , b = 9 ft , h = 4 ft

Area = 1/2 (6 + 9) 4

= 30 ft²

Answer:

D

Step-by-step explanation:

Which of the following are binomials? Check all that apply.
A. x^3+ 8 + y
B. -x + 24
C. x^11
D. x + (3/x)
E. x^8
F. x + 3

Answers

Answer:

B D F are the binomials

Step-by-step explanation:

hope it helps

Find the value of AB.
10
6
A
E
B
AB = [?]

Answers

Answer:

AB = 16

Step-by-step explanation:

The radius of the circle = 10

From the center of the circle to B = 10 (radius)

Since a right angle is formed at point E, we can apply Pythagorean theorem to find EB.

Thus:

EB² = 10² - 6²

EB² = 100 - 36

EB² = 64

EB = √64

EB = 8

EB = AE = 8

therefore,

AB = AE + EB = 8 + 8

AB = 16

Answer:ab=16

Step-by-step explanation:

What is the solution to the equation?

Answers

Answer:

3/4

Step-by-step explanation:

2/3a=1/3+1/6

2/3a=3/6

a=1/2x3/2

a=3/4

Answer:

[tex]a = \frac{3}{4} [/tex]

Step-by-step explanation:

[tex] \frac{2}{3} a - \frac{1}{6} + \frac{1}{3} [/tex][tex] \frac{2}{3} a = \frac{1}{3} + \frac{1}{6} [/tex][tex] \frac{2}{3} a = \frac{3}{6} [/tex][tex]a = \frac{3}{2} \times \frac{1}{2} [/tex][tex]a = \frac{3}{4} [/tex]Hope it is helpful....

what is
1/3 x (15+6)

Answers

Answer:

First, you do 15+6 (because of the parentheses)

You get 21

then you have to do 1/3 times 21 and you get 7

Answer:

7

Step-by-step explanation:

Using BODMAS which stands for:

(Bracket, of, Division, Multiplication, Addition and Subtraction)

We first treat the bracket

  (15+6)=21

We then treat the division

(but it is already reduced to its lowest terms therefore no need, but if you like you can reduce it to a decimal though)

[tex]\frac{1}{3}[/tex]

Then we move onto the multiplication which is the last part

[tex]\frac{1}{3}[/tex] ×21= [tex]\frac{21}{3}[/tex] =7

Which fraction below represents a repeating decimal?
A 1/4 B 6/4 C 19/2
D 22/12

Answers

I believe the answer is 22/12

Answer:

1/9

Step-by-step explanation:

niether is really an answer its

help what is the perimeter measured in centimeters of the rectangle pictured below do not include units in your answer

Answers

Answer:

just x both together

Step-by-step explanation:

Based on the figure below, what is the value of x? (look at picture \/)

Answers

Answer:

X = 9

Step-by-step explanation:

90 - ( 30 + 15 ) = 45

45/5 = 9

Find the values of the variables. Then find the length of the sides.

Answers

Answer: X= 102

Step-by-step explanation: Hope it helps!!!!

Find the solutions to x² = 20.​

Answers

Answer:

x = 4.47 or 2√5

Step-by-step explanation:

x² = 20

x = √20 = 4.47 or 2√5

Answer:

x = 2√5 or 4.472135955

Estimate: 5+81.65
HELP
PLEASE

Answers

Answer: 5+81.65≈85  

How to: Estimate.

Have a great day and stay safe !

Topic Test

Find the coordinates of PQ with endpoints P(2, -4) and Q(4, 2) under the translation left 3 units and up 4 units.

a. P'(-2, -4) and Q'(-4, -2)
b. P'(-1, 0) and Q'(1, 6)
c. P'(5, -1) and Q'(-2, -2)
d. P'(0, -7) and Q'(1, -1)

Please select the best answer from the choices provided

Answers

Answer:

B. P'(-1, 0) and Q'(1, 6)

Step-by-step explanation:

Please select the best answer from the choices provided

Answer:

The answer is A. P'(-2, -4) and Q'(-4, -2)

Step-by-step explanation:

OMG, I just did the Topic Test for Math on Edge earlier today! Good luck on it!

PLEASE HELP!!!!1!1!1! suppose one particular pyramid in egypt has a square base of side length 280 meters and a perpendicular height of 144 meters what is the surgace area of the pyramid?

Answers

Answer:

Pyramid Surface Area = .5 * Perim of Base * Slant Height

Slant Height^2 = 144^2 + 140^2

Slant Height^2 = 20,736 + 19,600

Slant Height^2 = 40,336

Slant Height = 200.8382433701

Surface Area = .5 * perim of base * slant height

Surface Area = .5 * 1,200 * 200.8382433701

Surface Area = 120,503 square meters

Source = www.1728.org/volpyrmd.com

Step-by-step explanation:

What is the location of the point on the number line that is 3/5 of the way from
A = 2 to B = 17?
O A. 12
O B. 10
C. 9
O D. 11

Answers

The location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11

How to determine the location of the point?

The points are given as:

A = 2

B = 17

Point = 3/5

The location of the point is then calculated as:

Point = A + 3/5(B - A)

So, we have:

Point = 2 + 3/5(17 - 2)

Evaluate the product

Point = 2 + 9

Evaluate the sum

Point = 11

Hence, the location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11

Read more about number lines at:

https://brainly.com/question/4727909

#SPJ1

I need help as soon as possible!! Please!!

Answers

Answer:

Option A, (x + 6, y - 4)

Hope this helps!

Answer:

1st option

Step-by-step explanation:

Consider the coordinates of R and R'

R (2, 6 ) and R' (8, 2 )

R → R' in the x- direction is + 6 ( 2 to 8 )

R → R' in the y- direction is - 4 ( 6 to 2 )

Then the translation rule is

(x, y ) → (x + 6, y - 4 )

I need help on this!

Study guide for exam

No links

The circle has the same question!

Answers

Answer:

60

Step-by-step explanation

20*3 becasuse it equlatrial

60m. 20 + 20 + 20 = 60 as the perimeter is the addition of all sides of the shape

Find the gradient of the line segment between the points (-2,3) and (-5,6)

Answers

Answer:

m = -1

Step-by-step explanation:

As we move from (-5, 6) to (-2, 3), x (the 'run') increases by 3 and y (the 'rise) decreases by 3.  Hence the gradient, or slope, of this line segment is

m = rise / run = -3/3, or m = -1

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

Answers

Answer:

Table B

Step-by-step explanation:

1 point
Which exponential statement is equivalent to log I = 3?
A
10% = 3
B
103 = 1
С
310 = 1
D
34 = 10
A
B
оооо
С
D

Answers

Answer:

10³ = l

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

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.


Answers

Answer:

4.123 km

Step-by-step explanation:

a squared = c sqaured - b squared

a squared = 9 sqaured - 8 squared

a squared = 81 - 64

a squared = 17

a = root 17

a = 4.123 km

Answer:

4.1 it is rounded to the nearest tenth already

How many more barrels of gasoline then diesel were produced last year

Answers

Answer:

3,000,000

Step-by-step explanation:

I want to know what 5/8 divided by 8/5 equals

Answers

Answer:

The answer is 0.390625

A large corporation sent out four groups of people to conduct observational studies on the average wait time at four different restaurants in its restaurant group. The restaurants have approximately the same ratings in terms of quality and popularity.

In their reports to the company board, each of the four groups described different methods used to conduct their studies, as shown in the table. Which group’s method will give the most accurate, unbiased results?

Answers

Answer:

It's midwest

Step-by-step explanation:

Midwest's groups will give the most accurate, unbiased results, and the correct option is B.

To solve this question, we analyze each sample, and find which of them will give the most accurate results.

Northeast: Only 3 hours a day, which can either have a very low or very high wait time, not being a correct representation, so there are bias factors.West Coast: One full day, which also can be a day with a lot of demand, leading to high wait time, or a day with low demand leading do low demand time, so there are also bias factors.South: Phone survey is not very accurate, people may not remember, for example.Midwest: Consider lots of periods over the course of the week, thus surveying both periods of low and of high demand, to get a good estimate for the average time, not having bias factors.

Thus, the Midwest's groups will give the most accurate, unbiased results, and the correct option is B.

A similar example is given here:  https://brainly.com/question/16609573

Help look at picture no links!!!

Answers

Answer:

B

Step-by-step explanation:

Angle 1 is an exterior angle, while angle 6 is an interior angle and so they are not congruent

the domain and range of the given set of points?
(0,8) (-5,-8) (9,1) (0,0) (-6-7)

Answers

Answer:

Domain: -6,-5,0,0,9

Range:-8,-7,0,1,8

Step-by-step explanation:

State if the triangles in the pair are similar. If so, complete the similarity statement

Answers

Answer:

they similar

triangle SRQ - SBC

Answer:

similarity statement =RS/BS=QS/CS=RQ/BC OR,

triangle RSQ≅triangle BSC

Step-by-step explanation:

The braking ability of two types of automobiles was compared. Random samples of 64 auto mobiles were tested for each type. The recorded measurement was the distance required to stop when the brakes were applied at 40 miles per hour. The computed sample means and variances were as follows:
y¯¯¯1=118,y¯¯¯2=109 s21=102,s22=87
. Do the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles? Give the attained significance level.

Answers

Answer:

The data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles

Step-by-step explanation:

Formulate the null and alternate hypothesis as

H0: u1= u2  against the claim Ha: u1≠ u2

The data given is

y`1=118,    y`2=109     s21=102,   s22=87

The test statistic used is t= y1`- y2`/ Sp√1/n1+ 1/n2

n1= n2= 64

And

Sp² = (n1-1) s12 + (n2-1) s22 / n1+n2-2

Sp² = 63*102+6*87/64+64-2

Sp² = 94.5

Sp= 9.7211

Putting the values in the test statistic

t= 118-108/9.7211√1/64+1/64

t= 5.237

Now finding the value of t at ∝=0.01 for two tailed test

t( 126,0.005)= ±2.6154

At alpha= 0.01  the null hypothesis is rejected.

Now finding the value of t at ∝=0.05 for two tailed test

t( 126,0.025)= ±1.979

Even at alpha= 0.05 the null hypothesis is rejected.

Also at alpha= 0.05 the null hypothesis is rejected because the critical value is  ±1.657

Hence it is concluded that the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles

Nicholas is adding by place value from right to left. When he adds the hundredths, he gets 0.46. Describe what his next step should be. NO LINKS!!!!​

Answers

9514 1404 393

Answer:

  record 6 hundredths; add 4 to the numbers of tenths

Step-by-step explanation:

Nicholas needs to write down the 6 and "carry" the 4, adding it to the numbers of tenths.

Depending on the method you've been taught, the 4 may be written above the column with place value of tenths, or it may be written on a separate sum line.

find the simple interest on 10000 from 1 July to 12 september 2007 at 5% per year calculate the interest​

Answers

Answer:

Simple interest: 83.33, Final amount: 10083.33

Step-by-step explanation:

you dont get a explanation >:)

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