A study has been made to compare the nicotine contents of two brands of cigarettes. Ten cigarettes of Brand A had an average nicotine content of 3.1 milligrams with a standard deviation of of 0.5 milligram, while 8 cigarettes of Brand B had an average nicotine content of 2.7 milligrams with a standard deviation of 0.7 milligram. Assuming that the two sets of data are independent random samples from normal populations with equal variances, construct a 95% confidence interval for the difference between the mean nicotine contents of the two brands of cigarettes.

Answers

Answer 1

Answer:

−0.2226 ; 1.0226

Step-by-step explanation:

Given :

n1 = 10 ; n2 = 8 ; s1 = 0.5 ; s2 = 0.7 ; x1 = 3.1 ; x2 = 2.7

Confidence interval, two - sample, t procedure ;

μ1 - μ2 = (x1 - x2) ± Tcritical*S

S = sqrt[(s1²/n1) + (s2²/n2)]

S = sqrt[(0.5^2/10) + (0.7^2/8)]

S = sqrt[0.08625]

S = 0.2937

Tcritical at 95% confidence interval

df = 10+8 - 2= 16

Tcritical = 2.12

(3.1 - 2.7) ± 2.12*(0.2937)

0.4 ± 0.6226

(0.4 - 0.6226) ; (0.4 + 0.6226)

−0.2226 ; 1.0226


Related Questions

What are the zero(s) of the following function: f(x)= -8X - 4?​

Answers

0=-8x-4
you then move the variable to the left and you get
8x=-4
you then divide both sides to get the answer
x=-1/2

Answer this ASAP the last question that due 5 minutes

Answers

Answer:

C

Step-by-step explanation:

If you graph the points, count boxes from the orgin (0,0).

You will have to go 3 to the right (on x), and up 6 (on y).

i think it is C, sorry if i’m wrong aahh

Plz help quickly kinda don’t understand it a bit

Answers

Answer:

Step-by-step explanation:

[tex]\text{The area of a circle is}\\ \\ A=\pi r^2\\ \\ \pi \approx 3.14,\ r=3ft\\ \\ A=3.14(3^2)\\ \\ A=3.14(9)\\ \\ A\approx 28.3ft^2[/tex]

I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS

Answers

Answer:x=4.2643

Step-by-step explanation:

tan35degrees=x/9

9(tan35degrees)=x

4.2643=x

Answer:

Answer:x=4.2643

Step-by-step explanation

1/4 1.5230×10−5 – 2.3645×10−5 –

1/8 8.8284×10−7 4.11 7.4676×10−7 4.98

1/16 6.2147×10−8 3.83 6.1723×10−8 3.60

1/4 1.4831×10−7 – 4.0071×10−7 –

1/8 1.7259×10−8 3.10 2.8021×10−8 3.84

1/16 9.7124×10−10 4.15 1.6602×10−9 4.08

1/32 6.4505×10−11 3.91 1.0675×10−10 3.96

1/64 4.8334×10−12 3.74 8.1590×10−12 3.71

plsss help meee in math :(((​

Answers

Answer:

a = 30

2a = 60

3a = 90

Step-by-step explanation:

3a + 2a + a = 180 ( Sum of angles of a triangle is 180)

6a = 180

a = 180/6

a = 30

2a = 2 x 30 =60

3a = 3 x 30 = 90

A storage box in the garage is 3 feet tall, 4 feet long and has a volume of 9 cubic feet. How many square feet is the area of the base of the box? ​

Answers

Answer:

3 ft^2

Step-by-step explanation:

first find the width of the storage box using the given volume

V = L * W * H

9 = 4 * W * 3

9 = 12 * W

9/12 = W

W = 3/4 or .75

then with that to find the are of the base multiply the length and the width

a = l * w

a = 4 * 3/4

a = 3

Triangle Theorems, Help!!!

Answers

Answer:

x = 8

Step-by-step explanation:

(6x + 7)° + 45° = (13x - 4)° => exterior angle theorem of a triangle

6x + 7 + 45 = 13x - 4

6x + 52 = 13x - 4

Collect like terms

6x - 13x = -52 - 4

-7x = -56

Divide both sides by -7

x = -56/-7

x = 8

how to do this plz help​

Answers

Answer:

13. 8

14.3

15.5

17.3

18.4

19.10

How many grams of a radioactive kind of neodymium will be left after 33 days if the half-life is 11 days and you start with
160 grams?

Answers

Answer:

20 grams will be left.

Step-by-step explanation:

Half-life is 11 days

This means that in each 11 days, you lose 50% of the amount.

33 days

33/11 = 3 half-lifes.

You start with 160 grams

After 11 days: 160/2 = 80 grams

After 22 days: 80/2 = 40 grams

After 33 days: 40/2 = 20 grams.

20 grams will be left.

Answer:10

Step-by-step explanation:

So I have a grade of 100.6 (an A+) and I had this assignment that was due a while ago (that was 15 points) and now I’m not allowed to turn it in. What would be my grade now that I didn’t do that assignment?

Answers

Answer:

maybe an 80 or 90

Step-by-step explanation:

Suppose f is a linear function such that f(4)= 8 and f(9)= 1. Find the equation for f.

Answers

solving for f(x) linear function i need help finding the equation to get those answers

Find the volume of the cone that sits on top of the cylinder

Answers

Answer:

Vc = (π/3)✓17 ≈ 4.12 ft³

Step-by-step explanation:

h = ✓(4²+1²)

h = ✓17

V = πr²h/3

V = π(1)²✓17/3

V = (π/3)✓17 ≈ 4.12

Homework
Answers are given at the end of
the chapter
Q1 Change 0.035 g to milligrams.​

Answers

Answer:

the answer 0.035 g = 35 milligrams

Answer:

Step-by-step explanation:

35miligram in 0.035g

The relationship between income (I), in dollars, and the time (h), in hours, for 2 different jobs is represented. Compare the hourly rates of Job A and Job B.



Which job offers a higher rate per hour and by how much?

A. Job A pays $5.25 more per hour than Job B.

B. Job A pays $4.75 more per hour than Job B.

C. Job B pays $5.25 more per hour than Job A.

D. Job B pays $4.75 more per hour than Job A.

Answers

Answer the answer is d

y = x2+6x+8 and y = (x+2)(x+4) both define the same quadratic function. Without graphing, identify the x- and y-intercepts of the graph.

Put each of the intercepts in the form of an ordered pair ( . ) ( . ).

You should have three ordered pairs in your answer. Two x-intercepts and one y-intercept. ​

Answers

Answer:

x-int:(-2,0)(-4,0) . y-int:(0,8)

Step-by-step explanation:

y = x2+6x+8 and y = (x+2)(x+4)

x-int:

x+2=0

x= -2

(-2,0)

x-int:

x+4=0

x=-4

(-4,0)

y-int: plug 0 for x

y=(0+2)(0+4)

y=8

(0,8)

The intercepts of a graph are the points where the graph crosses the x or y axes.

The x-intercepts are: (-2,0) and (-4,0)The y intercept is (0,8)

Given that:

[tex]y = x^2 + 6x + 8[/tex]

[tex]y = (x + 2)(x + 4)[/tex]

The x-intercepts

This is when [tex]y = 0[/tex]

So, we have:

[tex]y = (x + 2)(x + 4)[/tex]

[tex](x + 2)(x + 4) = 0[/tex]

Split

[tex](x + 2) = 0[/tex] or [tex](x + 4) = 0[/tex]

Solve for x

[tex]x = -2[/tex] or [tex]x = -4[/tex]

Hence, the x-intercepts are: (-2,0) and (-4,0)

The y-intercepts

This is when [tex]x = 0[/tex]

So, we have:

[tex]y = x^2 + 6x + 8[/tex]

Substitute 0 for x

[tex]y = 0^2 + 6 \times 0 + 8[/tex]

[tex]y = 8[/tex]

Hence, the y intercept is (0,8)

Read more about intercepts at:

https://brainly.com/question/1354826

Need help with this problem ^^

Answers

Answer:

8t^2-2t+13 is the answer i believe

the top teams speed for each leg is 56.81, 59.22, 57.39 and 60.11. whats the best time

Answers

enejxjkwsoqoapspwpdoeowo

How do you write "Hello World" in an alert box?

Answers

i can't type it in here, so i wrote in a paper for you

I really need help on this!

Answers

hii! i just wanted to say hope you're having a fantastic day and hope that things are going well (: stay strong and stay safe!

17

You know that O and M are congruent because of NM and NO being congruent. You also know NMO = 180. So after substitution it’s 12y-24=180

In ΔOPQ, the measure of ∠Q=90°, OP = 7.7 feet, and PQ = 4.1 feet. Find the measure of ∠O to the nearest degree.

Answers

Answer:

32 degrees

Step-by-step explanation:

Answer:

32 degrees

Step-by-step explanation:

which equations represents the line that is perpendicular to y= 5x+4 and passes through the point (-5,2)

Answers

well the slope of line would be -1/5

equation of line = (y-2) =-1/5(x+5)

Find the area of the figure below.

Answers

Answer:

157.08 in2

Step-by-step explanation:

hope it helps

What is the slope of the line below? Be sure to scroll down first to see all
answer options.
(-14,3) (2,-5)

Answers

Answer:

Step-by-step explanation:

The slope of a line can be determined by any two points on the line and is defined as

m=(y2-y1)/(x2-x1),

We are given points (-14,3) and (2,-5) so

m=(-5-3)/(2-(-14))

m=(-8)/(16)

m= -1/2. (Answer F)

PLEASE HELP ME THANKS SO Much

Answers

9514 1404 393

Answer:

  (b)  x = 7, AB = 9, AC = 12

Step-by-step explanation:

ΔAEB ~ ΔCDB so corresponding sides are proportional.

  AB/CB = AE/CD

  (x+2)/(x -4) = 12/4

  x +2 = 3(x -4) . . . . . . multiply by x-4

  x +2 = 3x -12 . . . . . . eliminate parentheses

  14 = 2x . . . . . . . . . . . add 12-x

  7 = x . . . . . . . . . . . . . divide by 2

AB = x +2 = 7 +2 = 9

BC = x -4 = 7 -4 = 3

AC = AB +BC = 9 +3 = 12

__

In summary, ...

  x = 7, AB = 9, AC = 12 . . . . . matches the 2nd choice

_____

Additional comment

Please note the other choices make no sense.

  (a) AB = x +2 = -5 +2 = -3 ≠ -9

  (c) AC = 2x-2 = 2(7) -2 = 12 ≠ 9

  (d) segment lengths are never negative in a geometrical figure

4-3x>16

I don’t know

Answers

Answer:

x < -4

Step-by-step explanation:

4 > 16 + 3x

3x < 4-16

3x < -12

x < -12/3

x < -4

Feel free to mark it as brainliest

A school sold 51 less children’s tickets than adult tickets for the school play. Adult tickets cost $1.25 and children’s tickets cost $0.75. A total of $129.75 was taken in. How many of each kind were sold? Show work pls

Answers

Answer:

84 adult tickets and 33 child tickets were sold.

Step-by-step explanation:

Given that a school sold 51 less children's tickets than adult tickets for the school play, and adult tickets cost $ 1.25 and children's tickets cost $ 0.75, and a total of $ 129.75 was taken in, to determine how many of each kind were sold the following calculations must be done:

61 x 1.25 + 10 x 0.75 = 83.75

81 x 1.25 + 30 x 0.75 = 123.75

82 x 1.25 + 31 x 0.75 = 125.75

83 x 1.25 + 32 x 0.75 = 127.75

84 x 1.25 + 33 x 0.75 = 129.75

Thus, 84 adult tickets and 33 child tickets were sold.

Answer:

There were 80 adult tickets sold and 29 children tickets sold.

c + 51 = a

51 = a - c

c = a - 51

a*1.25 + c*0.75 = 129.75

a = 100  c = 49  a + c = 161.75

a = 80  c = 29  a + c = 121.75

Which of the following are compound events in which the results of one event affect the likelihood of the other event? PLZ HELP ASAP
Answers: 1. independent events
2. dependent events
3. theoretical events
4. fair events

Answers

Answer:

2. Dependent events

Step-by-step explanation:

find the volume of a plastic cube vuilding block with a side length of 12 centimeters​

Answers

Step-by-step explanation:

Length of the plastic cube (L) = 12 cm

Volume of the cube

= L³

= ( 12)³

= 1728 cm³

Hope it will help :)❤

What values of the variables highlighted would create an equation infinitely many solutions

Answers

a = -5
b = 2
I’m pretty sure

Shane can type 275 words in 5 minutes. Hillary can type 240 words in 4 minutes.

Who is the fastest at typing and what is their unit rate?


A

Shane can type 1,375 words per minute.

B

Shane can type 55 words per minute.

C

Hillary can type 960 words per minute.

D

Hillary can type 60 words per minute.

Answers

Answer:

The Answer Is D

Step-by-step explanation:

It kind of self explanatory .

Hillary is the fastest typer and D. Hillary can type 60 words per minute.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Shane can type 275 words in 5 minutes.

So, Shane can type (275/5) = 55 words per minute.

Also given that Hillary can type 240 words in 4 minutes.

So,  Hillary can type (240/4) = 60 words per minute.

Therefore, Hillary is the fastest typer.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

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