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

14.5% of 90 is n. The value of n is 15​

Answers

Answer:

dddddddddddddddddddddddddd

Step-by-step explanation:

dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

Besides using the proper formula, what must you be cautious of when calculating the area of geometric
figures? Why?

Answers

Answer:

Some units are inches and some are feet. In that case, you would need to convert in order for the equation to be solved.

Step-by-step explanation:

I got 100% on edgen

Cautious of when calculating the area of geometric figures is different unit.

What are units?

A measurement unit is a standard quantity used to express a physical quantity.

The main caution while calculating the geometric figures is units.

Sometimes units are inches and some are feet.

In this case, we need to convert in order to get the correct calculation because different measurements can cause error in finding the solution.

Learn more about units here:

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Mr. Conway is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the
roof, which is 20 feet high. The base of the ladder is 15 feet away from the house, where Mr. Conway's son is
holding it steady. How long is the ladder? Draw a picture and show your work.

Answers

I am pretty sure the answer is 300 but I cannot draw a picture to show you because I cannot draw on here

Can someone help me with this please??

Answers

Answer:

<BED and <DEA, <AEC and <BEC

Step-by-step explanation:

Supplementary angles are two angles whose degree measures add up to 180 degrees. In other words, two angles that form a straight line.

In the given picture that is: <BED and <DEA, together they form line AB.

Another two supplementary angles in the given image are: <AEC and <BEC, they form line AB, from a different perspective.

The length of a side of a cube can be determined
by Ending the cube root of its volume. If a cube has
a volume of 64 cm', what is the length of a sde?
A 4.0 cm
B. 8.0 cm
C. 160 cm
D 32.0 cm

Answers

Answer:

Side of cube = 4 cm

Step-by-step explanation:

Given:

Volume of cube = 64 cm³

Find:

Side of cube

Computation:

Volume of cube = side³

64 = side³

Side of cube = 4 cm

A BCC professor decides to grade his class as following: 20 percent for homework assignments, 10 percent for quizzes, 25 percent for a midterm, and 45 percent for the final exam. A student receives 70 for homework, 75 for the quizzes, 65 for the midterm and 88 for the final exam. What will be the student’s class grade?

Answers

The grade will round up to around 70 percent the low ones will hold it down

The question is in the graph. Please help.

Answers

Answer:

A I think

Step-by-step explanation:

because if you add them up.

Answer:

Aprox. 216 days

Step-by-step explanation:

Add the counts of the green bar(5-10mm) and the brown bar (0-5mm).

The brown is roughly 130 and the green is roughly 80, which is approx 216 days.

If i helped, a brainliest answer would be greatly appreciated!

If m∠T = (2x + 85) ° , m∠V = (5x + 29) ° , and the sum of the measures of the angles is 93 ° , find the measure of each angle.

Answers

Answer:

x = -3

m∠T = 79

m∠V = 14

Step-by-step explanation:

It cost $5.25 for a bottle of 150 vitamins. if the cost varies directly with the number of vitamins in the bottle, what should a bottle of 250 vitamins cost?
what is the equation o the situation?
Could you please give me the equation and show me how you got it please so I could understand... thanks.

Answers

Answer: $8.75 for 250 vitamins.

Step-by-step explanation:

To find how much each vitamin costs we can divide $5.25 by 150.

5.25/150 = 0.035. So each vitamin is equal to $0.035.

We can then multiply the cost of 1 vitamin by 250.

0.035 x 250 = 8.75 or $8.75.

We can also make an equation for this problem. Let the total cost be equal to y and each vitamin equal to x.

y = 0.035x

So the equation above states that the total cost, y, is the amount of vitamins that are bought.

(Urgent) Worth 10 points 7.3

Answers

Answer:

[tex] 2228 \: {ft}^{2} [/tex]

Step-by-step explanation:

Required flooring cover

= Area of the school playground

= Area of square with side 40 ft + Area of semicircle with radius (40/2) i.e. 20 ft

[tex] = {(40)}^{2} + \frac{1}{2} \times 3.14 \times {(20)}^{2} \\ \\ = 1600 + \frac{1}{2} \times 3.14 \times 400 \\ \\ = 1600 + 3.14 \times 200 \\ \\ = 1600 + 628 \\ \\ = 2228 \: {ft}^{2} [/tex]

a number rounded to the nearest thousand is 47000 which number could be the number that was rounded?

Answers

Answer:

46900

Step-by-step explanation:

46900 or 46800 or 46700 or 46600

Cereal costs $2 per box. How many boxes did Joe buy if she spent $6?​

Answers

Answer:

3 boxes

Step-by-step explanation:

Take the total spent and divide by the cost per box

$6/ $2

3

She bought 3 boxes

Help! See the question below!

Answers

it’s the 3rd problem:)
the 3rd answer would be correct !

A mechanic estimates that a tire still has
Can someone please help me I need this for a test thank you so much whoever answers this.

8,000 miles of useful tread life. This is 20% of
the original useful tread life of the tire. What
was the tire's original useful tread life?
A) 50,000
B) 40,000
C) 1,600
D) 30,000

Answers

Answer:

B

Step-by-step explanation:

100% is unknown 100:20 is 5

8,000*5=40,00

look at picture for question WILL MARK BRAINILEST PLEASE

Answers

Answer:

C

Step-by-step explanation:

The mean is 6

The median is 6

The mode(s) are 5 and 7

The Mohs scale is used to measure:

streak
cleavage
hardness
luster

Answers

Answer:

Hardness.

Step-by-step explanation:

A mineral's hardness is a measure of its relative resistance to scratching, measured by scratching the mineral against another substance of known hardness on the Mohs Hardness Scale.

Answer:

hardness

Step-by-step explanation:

number 3

PLEASE HELP will give right answer brainiest

Answers

Answer:

48 -52  and 64 - 66

Step-by-step explanation:

sence it dosent give exact numbers on the graph ur going to have to estimate then to find when it increases look for an interval were it goes up reading from left to right and for decreasing look for an interval that is going down reading the graph left to right

Number 1 is b and number 2 is c

During the football game, Justin caught three passes. One was for a touchdown and went 52 yards.
The other was for a first down and was for 17 yards. The other was on a screen pass that did not
work so well and ended up a gain of -10 yards. What was the total yardage gained by Justin on the
pass plays?

Answers

Answer:

59

Step-by-step explanation:

52+17-10=59

What is 20% of 8? Write your answer to the nearest tenth.

Answers

Answer:

1.6

Step-by-step explanation:

To find 20% of 8, multiply 8 by 0.2

8(0.2)

= 1.6

So, 20% of 8 is 1.6

Tammy must run more than 67 miles total to reach her fitness goals. She has already run 35 miles and runs 4 miles per day, Which
of the following inequalities could be used to solve for x, the number of days Tammy still needs to run to reach her fitness goals?

Answers

Answer:

[tex]35 + 4x > 67[/tex]

To reach her fitness goal, she needs to run for more than 8 days.

Step-by-step explanation:

She has already run 35 miles and runs 4 miles per day:

This means that after x days, the distance she will have run is:

[tex]D(x) = 35 + 4x[/tex]

Tammy must run more than 67 miles total to reach her fitness goals.

This means that:

[tex]D(x) > 67[/tex]

[tex]35 + 4x > 67[/tex]

The inequality is:

[tex]35 + 4x > 67[/tex]

Solution:

[tex]4x > 32[/tex]

[tex]x > \frac{32}{4}[/tex]

[tex]x > 8[/tex]

To reach her fitness goal, she needs to run for more than 8 days.

Yessir my ultimate goal has been achieved lol

Answers

Step-by-step explanation:

congratulations happy for you

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Answers

Answer:

tyyyy

Step-by-step explanation:


A small college has 800 students, 10% of which are left-handed. Suppose they take an SRS of 8 students.
Let L = the number of left-handed students in the sample.
Which of the following would find P(L = 2)?

Answers

Answer:

Step-by-step explanation:

Probability of finding 2 left handed students out of 8 samples is 0.1488 or 14.88%.

What is Binomial Distribution?

Binomial distribution is the distribution of a random variable X for which there are only two possibilities. The probability p for the success and the probability of 1-p for the failure, which consist of n trials.

Given,

Number of students in the college = 800

10% of which are left handed.

Probability of finding left handed student = 10% = 0.1

p = 0.1

q = 1 - 01 = 0.9

Number of samples, n = 8

We have to find P(x = 2)

The formula to calculate binomial distribution is,

P(x) = ⁿCₓ pˣ qⁿ⁻ˣ

P(x = 2) = ⁸C₂(0.1)²(0.9)⁶

            = 28 × (0.1)²(0.9)⁶

            = 0.14880348

            ≈ 0.1488

Hence the probability is 0.1488.

Learn more about Binomial Distribution here :

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GOD GIVE ME STRENGTH MATH REALLY BE TESTING ME

Answers

Answer: the answer is 162

Step-by-step explanation: good luck with your math test I hope you get a good grade

7m-6; m =8

I think the answer is 2 or 14 but I need confirmation tho .

Answers

Answer: 50

Step-by-step explanation:

(7*8) - 6

56 - 6 = 50

Find the value of x

Answers

Answer:

Left triangle:

69+69+x=180

x=42

90-42=48

x=48

Let me know if this helps!

x would be 48 hope this helps

This graph shows the solution to which inequality?
(3, 3)
(-3,-1)

Answers

Answer: The answer is b

Step-by-step explanation:

1.1 = -8.5 + 6x what is x

Answers

Answer: x=1.6

Step-by-step explanation:

1.1=-8.5+6x

+8.5 +8.5 (add 8.5 on each side)

9.9=6x

Divide by 6 on each side to leave the x by itself

x=1.6

Answer:

x= 1.6

Step-by-step explanation:.

1.1=−8.5+6x

Step 1: Simplify both sides of the equation.

1.1=6x−8.5

Step 2: Flip the equation.

6x−8.5=1.1

Step 3: Add 8.5 to both sides.

6x−8.5+8.5=1.1+8.5

6x=9.6

Step 4: Divide both sides by 6.

6x /6 =  9.6/ 6

x=1.6

Answer:

x=1.6

HELPPPPPPP PLSSSSSS !!

Answers

Answer:

B and C

Step-by-step explanation:

Find the value of x.
Then find the value of y.

Answers

X=2 and y=152 because 15x-2=9x+10

Answer:

x = 2°y = 150°

Step-by-step explanation:

First, let's find x:-

(15x-2)° = (9x+10)°

15x-2 = 9x+10

6x = 12

x = 2°

Now, let's find y:-

28 + y° = 180°

y = 180-28

y = 150°

______________________

Hope this helps you!

Have a great day!

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