to help consumers assess the risks they are taking, the food and drug administration (FDA) publishes the amount of nicotine found in all commerical brands of ciagrettes. a new ciagrette has recently been marketed. the FDA tests on this ciagrette yielded mean nicotine content of 24.3 milligrams and standard deviation of 2.1 milligrams for a sample of 9 ciagrettes. construct a 99% confidence interval for the mean nicotine content of this brand of ciagrette.

Answers

Answer 1

Answer:

The 99% confidence interval for the mean nicotine content of this brand of cigarette is between 21.95 and 26.65 milligrams.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.3554

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.3554\frac{2.1}{\sqrt{9}} = 2.35[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 24.3 - 2.35 = 21.95 milligrams

The upper end of the interval is the sample mean added to M. So it is 24.3 + 2.35 = 26.65 milligrams

The 99% confidence interval for the mean nicotine content of this brand of cigarette is between 21.95 and 26.65 milligrams.


Related Questions

write 5/3 as a mixed number

Answers

Answer: 1 2/3

Step-by-step explanation:

Answer:

1 2/3

Step-by-step explanation:

3/3 is = 1

2/3 = 2/3

5/3 = 1 + 2/3

5/3 = 1 2/3

Hope this helps!


A Carpenter was told to make
a rectangular desk with top
dimension of 50cm by40cm.
The Carperter altually made
the desk 60cm by 35cm.
Callulate the percentage
error in (a) the length and
b) the breath (1) the product
of the two enors (2) area of
the table top.​

Answers

Answer:

a. Percent error = 12.5%

b. Percent error = 20%

c. Product = 250

d. Area of rectangle = 200 cm²

Step-by-step explanation:

Given the following data;

Actual length = 40cm

Experimental length = 35cm

Actual breadth = 50cm

Experimental breadth = 60cm

To find the following values;

a. Percentage error in length;

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

[tex] Percent \; error = \frac {experimental \;value - actual \; value}{ actual \;value} *100[/tex]

Substituting into the formula, we have;

[tex] Percent \; error = \frac {35 - 40}{40} *100[/tex]

[tex] Percent \; error = \frac {5}{40} *100[/tex]

[tex] Percent \; error = 0.125 *100[/tex]

Percent error = 12.5%

b. Percentage error in breadth;

[tex] Percent \; error = \frac {60 - 50}{50} *100[/tex]

[tex] Percent \; error = \frac {10}{50} *100[/tex]

[tex] Percent \; error = 0.2 *100[/tex]

Percent error = 20%

c. Product of the error;

Product = 12.5 * 20

Product = 250

d. Area of the table top;

Dimensions = 50 * 40 cm

Area of rectangle = length * breadth

Area of rectangle = 40 * 50

Area of rectangle = 200 cm²

20 POINTS!!!!!!!!!! what are two numbers that multiply to equal -13 but add to equal +7

Answers

Answer:

x = -1.525

y = 8.525

Step-by-step explanation:

xy = -13

x + y = 7

we can let 'y' equal 7-x and use substitution

x(7-x) = -13

7x - x² + 13 = 0

divide through by negative one to get a positive x²

x² - 7x - 13 = 0

use the quadratic formula to get:

x = -1.525

y = 8.525

PLEASE PLEASE HELP ME!!! Carla rode her bicycle 4 miles to the park and it took her 30 minutes.

What was her speed in miles per hour?
A.8 mi/h
B.2 mi/h
C.120 mi/h
D.7.5 mi/h

Answers

Answer:

30 mins = 0.5 hours

4.5 miles/0.5 hours = your answer

Step-by-step explanation:

Answer:

speed = distance

time

speed = 4

30

speed = 7.5

j need help w number 4 algebra to have to show all work

Answers

Answer:

[tex]\sqrt[3]{\frac{-729}{216} } = \sqrt[3]{\frac{9*9*9*}{6*6*6} } = (\frac{9^3}{6^3})^{\frac{1}{3} } = \frac{9}{6} = \frac{3}{2}[/tex]

option a

Which equation represents the following table?

Answers

Answer:

y = 2x+4

Step-by-step explanation:

When we substitute the value of x in y =2x+4. The output of function is exactly like in the table shown.

x = 1 —> y = 2(1)+4 = 6

x = 3 —> y = 2(3)+4 = 10

x = 5 —> y = 2(5)+4 = 14

x = 7 —> y = 2(7)+4 = 18

x = 9 —> y = 2(9)+4 = 22

Since the output is exactly like in the table. Therefore, y = 2x+4 represents the following table.

A swimming pool is in the shape of this prism. A cubic foot of water is about 7.5 gallons. How many gallons of water can the pool hold? If a pump is able to pump water into the pool at a rate of 15 gallons per minute, how long will it take to fill the pool?

Answers

Answer:

48,000

Step-by-step explanation:

SOLUTION: Each cubic foot holds 7.5 gallons of water. So, the amount of water required to fill the pool is 6400(7.5) = 48,000.

10. Jackie
pupp
How
dog v
7. Juan is baking muffins for the school
bake sale. He needs 1 cups of flour to
make a batch of blueberry muffins. He
needs 2 cups of flour to make a batch
of banana muffins. How much flour
does Juan need to make both batches
of muffins?
A 4.cups
a pup
A4
B 47
с
4
B 4
cups
D 13
3 cups
34 cups
D
11. Ariana
park.

Answers

Answer:

your answer choices don't make sense

need some help on this

Answers

Answer:

G

Step-by-step explanation:

From the box plots given, the options that seem very much on support of the information given in the box plot is option G.

Median number in a box plot is the number at the point where the vertical line divides the box.

The median for Thin Crust is about 55 while the median for Thick Crust is above 55.

Therefore we can conclude that:

"The median number of orders for thick crust pizzas is larger than the median median number of orders for thin crust".


In the figure, side AB is given by the expression 1 + 3, and side BC is 21 – 4.
The simplified expression for the area of rectangle ABCD is

Answers

Answer:

[tex]\text{Area}=\frac{15(x+1)}{2(x-2)}[/tex]

Step-by-step explanation:

Length of the rectangle given in the picture = [tex]\frac{5x+5}{x+3}[/tex]

Width of the rectangle = [tex]\frac{3x+9}{2x-4}[/tex]

Area of the rectangle = Length × Width

                                    = [tex]\frac{5x+5}{x+3}\times \frac{3x+9}{2x-4}[/tex]

                                    = [tex]\frac{5(x+1)}{x+3}\times \frac{3(x+3)}{2(x-2)}[/tex]

                                    = [tex]\frac{15(x+1)(x+3)}{2(x+3)(x-2)}[/tex]

                                    = [tex]\frac{15(x+1)}{2(x-2)}[/tex]

Therefore, area of the given rectangle is [tex]\frac{15(x+1)}{2(x-2)}[/tex].

Angel signed up for a streaming music service that costs $11 per month. The service allows Angel to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.50 per song. How much total money would Angel have to pay in a month in which he downloaded 25 songs? How much would he have to pay if he downloaded ss songs?

Answers

Answer: $23.5

Step-by-step explanation:

0.5(x) + 11

0.5(25) + 11

$23.5

a²b² + 2ab (a²+1) +a^2-b^2-1​

Answers

Exponentiation is not clear

If so Exponentiation

a²b²+2ab(a²+1)+a²-b²-1

this answer

a²b²+2a³b-b²+2ab+a²-1

As for if so Exponentiation

[tex]a²b²+2ab(a²+1)+a² - b {}^{2 - 1} [/tex]

this answer

a²b²+2a³b+2ab+a²-b

Indicate whether each statement about linear functions A and B shown below is true or false by checking the appropriate box in the table.
TRUE OR FALSE
The rates of change for both Function A and B are positive.
TRUE OR FALSE
The rate of change for Function A is 3 times the rate of change for Function B
TRUE OR FALSE
The y-intercepts for both Function A and Function B are positive.

Answers

Answer: The rates of change for both function A and function B are positive : TRUE

The rates of change for functions A is 3 times the rate of change for function B : FALSE

The y - intercepts for both Function A and Function B are positive : FALSE

Step-by-step explanation:

what is 3/4 of 4/5= ​

Answers

Answer:

answer: 15/16 Hope this helps!

can someone help me find the measure of the angle indicated in bold please

Answers

9514 1404 393

Answer:

  A)  105°

Step-by-step explanation:

The two marked angles are alternate interior angles, so are congruent.

  8x +17 = 9x +6

  11 = x

  8x +17 = 8(11) +17 = 88 +17 = 105 . . . . degrees

The bolded angle is 105°.

Answer:

105 degrees

Step-by-step explanation:

Here ,

8x+17=9x+6(being alternate angles )

17-6=9x-8x

11= x

Again,

8x-17=8×11+17

Therefore 8x-17=105 degrees

A line passes through the two glven points. Is it vertical, horizontal,or neither?
(-1, -1), (-2, -1)
Vertical
Horizontal
Neither

Answers

Answer:

horizontal

Step-by-step explanation:


Neesha uploaded a funny video of her dog onto a website. The relationship between the elapsed
time, d, in days, since the video was first uploaded, and the total number of views V (d), that the
video received is modeled by the function V (d) = 31.5d.
How many views will the video receive after 5 days? Round your answer to the nearest whole
number.

Answers

Answer:

the answer is 2

Step-by-step explanation:

What is the slope of the line connecting the points (2, 1) and (4, 5)?

Answers

Answer:

2

use y2 - y1 / x2 - x1

5 - 1 / 4 - 2 = 4/2 = 2

Answer:

[tex]2[/tex]

Step-by-step explanation:

1. Find the difference between the two y values. 5 − 1 = 4

  This is usually called the "rise" of the line.

2. Find the difference between the two x values. 4 − 2 = 2

   This is usually called the "run" of the line.

3.  Divide the rise buy the run: [tex]\frac{rise}{run} = slope \frac{4}{2} = 2[/tex]

Please help asap.......

Answers

Answer:

it's d

Step-by-step explanation:

Choose 1 answer

A 4/9 of 3/4

B 4/12 of 5/12

C 1/3 of 9/12

Answers

C you reduce 4/12 to 2/6 which then is 1/3

The lengths of text messages are normally distributed with a population standard deviation of 4 characters and an unknown population mean. If a random sample of 26 text messages is taken and results in a sample mean of 28 characters, find a 98% confidence interval for the population mean. Round your answers to two decimal places. z0.10 z0.05 z0.04 z0.025 z0.01 z0.005 1.282 1.645 1.751 1.960 2.326 2.576

Answers

Answer:

The answer is "[tex](25.32, 30.68)[/tex]"

Step-by-step explanation:

Given:

[tex]\bar x = 28\\\\ \sigma = 4\\\\n =26\\\\[/tex]

When [tex]98\%[/tex] confidence level so, the z:

[tex]\alpha = 1 - 98\% = 1 - 0.98 = 0.2\\\\\frac{\alpha}{2} =\frac{0.02}{2} = 0.01\\\\Z_{\frac{\alpha}{2}} = Z_{0.01} = 1.645\ \ \ ( Using \ z \ table )\\\\[/tex]

[tex]E = Z_{\frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})[/tex]  

[tex]= 1.645 \times (\frac{4}{\sqrt{26}})\\\\=2.68[/tex]

When  98% confidence interval estimate of the population mean  is,

[tex]\bar x - E < \mu < \bar x + E\\\\28 - 2.68 < \mu < 28 + 2.68\\\\25.32 < \mu < 30.68\\\\(25.32, 30.68)\\\\[/tex]

an integer smaller than -5 but greater than -8​

Answers

Answer:

so what is the question?

One half of 4

Plz help I need help

Answers

The answer is 2 lmk if this helps

HELP!


Will give branliest!

Answers

Answer:

Try 1/6, if not then search up Fraction Calculator it should be Calculator.net

x and y are two integers and x ≠ 0. Which of the following is not a rational number? a) z b) y c)x/y d) y/x​

Answers

Answer: Choice A) z

==========================================================

Explanation:

x and y are two integers, with x being nonzero

This means x/y is rational as long as y is nonzero as well. If y = 0, then we have a division by zero error. Try something like 1/0 on your calculator and you'll find it doesn't work.

Similarly, y/x is rational as well. Any rational number is simply dividing two integers as a fraction like this. Other examples include stuff like 1/2, 4/5, 8/17, and so on.

Since y is an integer, this means we can write it like this: y = y/1. This shows any integer is also rational, but not the other way around. A fraction like 2/3 is rational but not an integer.

All of what was discussed above indicates that choices B, C and D can be ruled out. The only thing left is choice A. The variable z isn't defined, so it's not clear what it is exactly. But it's likely the answer as it's the only thing left after the eliminations.

i don’t know if it’s B or C what do you guys think?

Answers

Answer:

I think it is D.

Step-by-step explanation:

It is a guess, but I am not fully sure.

If correct, may I have a brainliest?

                      XxRoadToAcexX

Answer:

D) 17.51

Step-by-step explanation:

D) 17.51

Q: using the Substitution Method, and the value ory in
Using the Substitution Method, find the value of y in
the below system of equations?
-2y = 44 – 4
7x = -4y + 10

Answers

Answer:

Step-by-step explanation:

To properly apply the substitution method, it will be better for us to rearrange the system of equations to have similar variables on the same side

[tex]44 - 4 = -2y ----equation 1[/tex]

[tex]10 = 7x + 4y --- equation 2[/tex]

We can simply evaluate equation 1 to have

[tex]40 = -2y\\y = 40/-2 = -20\\[/tex]

y = -20

From the first equation alone, we can evaluate the value of y as -20. This is because only one unknown is present in equation one, hence a single equation is sufficient enough to evaluate it. If to unknowns were present, the two equations would have been utilized to evaluate the solution.

[15 points !] What is the factored form of x²y3 – 2y3 – 2x2 + 4?

Answers

Answer:

D

Step-by-step explanation:

Have a Nice Day

Answer:

(x^2 - 2)(y^3 - 2)

Step-by-step explanation:

I got it right on Iready

1. Based on the information given, what is the Worthington Family's net worth? Will they qualify for the loan?

1

Net worth:

Will they qualify for the loan? (yes or no)

Answers

Question Completion:

The Worthington family has liquid assets of $10,000, use assets of $150,000 and investment assets of $34,000. They also have liabilities totaling $108,000. They need a loan from the bank and to qualify for the loan, they must have a net worth of $100,000.  They will incur additional $7,000 in liabilities.

Answer:

1. The Worthington Family's net worth is:

= $79,000.

2. No. They will not qualify for the loan, as their net worth fell short of the requirement by $21,000.

Step-by-step explanation:

a) Data and Calculations:

Worthington Family's net worth:

Liquid assets =                      $10,000

Use assets =                         150,000

Investment assets =              34,000

Total assets =                    $194,000

Liabilities =                            115,000

Net worth =                         $79,000

Required net worth =       $100,000

Shortfall in net worth =      $21,000

b) The Worthington Family's net worth is the difference between their assets (the things that they own) and their liabilities (the things that they owe others).  It is an important financial metric for calibrating the family's financial health.  Computing it provides a useful snapshot of the family's current financial position.  Financial institutions and other potential creditors use it to gauge if they might extend some credit facilities to the Worthington family.

A lawn service owner is testing new weed killers. He discovered that a particular weed killer was effective 89% of time. Suppose that this estimate was based on a random sample of 60 applications. Find the lower confidence limit (LCL) for a 90% confidence interval for p, the true proportion of weeds killed by this particular brand. Round your answer to two decimal places.

Answers

Answer:

The LCL for a 90% confidence interval for p is 0.82.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A lawn service owner is testing new weed killers. He discovered that a particular weed killer was effective 89% of time. Suppose that this estimate was based on a random sample of 60 applications.

This means that [tex]\pi = 0.89, n = 60[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236[/tex]

Rounding to two decimal places, the LCL for a 90% confidence interval for p is 0.82.

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