A chemist examines 25 geological samples for bromide concentration. The mean bromide concentration for the sample data is 0.502 cc/cubic meter with a standard deviation of 0.0313. Determine the 98% confidence interval for the population mean bromide concentration. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer 1

Answer:

The critical value that should be used is T = 2.492.

The 98% confidence interval for the population mean bromide concentration is between 0.486 cc/m³ and 0.518 cc/m³

Step-by-step explanation:

We have the standard deviation for the mean, 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 = 25 - 1 = 24

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.492, which is the critical value that should be used.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.492\frac{0.0313}{\sqrt{25}} = 0.016[/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 0.502 - 0.016 = 0.486 cc/m³

The upper end of the interval is the sample mean added to M. So it is 0.502 + 0.016 = 0.518 cc/m³

The 98% confidence interval for the population mean bromide concentration is between 0.486 cc/m³ and 0.518 cc/m³


Related Questions

Find the value of x.

(I know it’s blurry sorry, here are the numbers)

3x-9
2x+2
27

Please help!

Answers

Answer:

= -89x + 227 =

Step-by-step explanation:

The value of x in the circle is 1.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

if a tangent and a chord are drawn from a point outside a circle, and the point of intersection of the tangent and the circle is labeled as point P, then the length of the tangent squared is equal to the product of the lengths of the two segments of the chord:

Now,

From the figure,

(2x - 9)² = 27 (2x + 2)

We can start by simplifying the left-hand side of the equation:

(2x - 9)² = 27 (2x + 2)

4x² - 36x + 81 = 54x + 54

Now we can move all the terms to one side and simplify:

4x² - 90x + 27 = 0

Next, we can use the quadratic formula to solve for x:

x = (-b ± √(b² - 4ac)) / 2a

where a = 4, b = -90, and c = 27.

Plugging in the values:

x = (-(-90) ± √((-90)² - 4(4)(27))) / 2(4)

x = (90 ± √(8100 - 432)) / 8

x = (90 ± √(7668)) / 8

x = (90 ± √(447)) / 8

x ≈ 11.16 or x ≈ 1.09

Rounding to a whole number.

x = 1

Therefore,

The value of x in the circle is 1.

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Help fast please please help ASAP ASAP please please

Answers

9514 1404 393

Answer:

  LA = 20π square units

  SA = 36π square units

  V = 16π cubic units

Step-by-step explanation:

The value of the radius is needed before any area calculations can be done. It can be found from the Pythagorean theorem:

  r² + 3² = 5²

  r = √(25 -9) = 4

__

The lateral area is given by the formula ...

  LA = πrs . . . . . where r is the radius and s is the slant height

  LA = π(4)(5)

  LA = 20π square units

__

The surface area is the sum of the lateral area and the base area. The latter is the area of a circle of radius 4.

  SA = πr² + LA

  SA = π(4²) +20π = 16π +20π

  SA = 36π square units

__

The volume is given by the formula ...

  V = 1/3πr²h

  V = 1/3π(4²)(3) = 16π

The volume is 16π cubic units.

if a×b=2a=b, evaluate 4×3 do not answer with a link,photo,file.​

Answers

If you are comparing a*b=4*3, a = 4 and b = 3.

This would mean that 2a = 8.

If a×b=2a=b, evaluate 4×3 , Based on the given equation, the result of 4 × 3 is 12.

To evaluate 4 × 3 using the given information, we substitute the values of a and b into the equation.

An equation is a mathematical statement that shows the equality of two expressions or quantities. It consists of an equal sign (=) placed between the two sides of the equation. The expressions on each side of the equal sign are referred to as the left-hand side (LHS) and the right-hand side (RHS) of the equation.

Equations are used to represent relationships and solve for unknown values. They can involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal is to find the value or values of the variable(s) that make the equation true.

Given: a × b = 2a = b

Let's assign a = 4 and b = 3:

4 × 3 = 2(4) = 3

Simplifying the equation:

12 = 8 = 3

Therefore, based on the given equation, the result of 4 × 3 is 12.

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Full question

If a×b=2a=b, evaluate 4×3 do not answer with a link,photo,file.​

( No graph Needed)

can someone help i will give brainlest

Answers

Answer:

Your answer is x+ 9.Thanks.

pls answer it :'} plzzzzzzzzzzz

Answers

Answer:

32units²

Step-by-step explanation:

find the area if the square

2×2 = 4

now find the area of the 3 triangle's

A = 1/2bh

A = 1/2×2×2

A = 2

A = 1/2bh

A = 1/2×6×2

A = 6

A = 1/2bh

A = 1/2×10×4

A = 20

add all the areas up

20 + 6 + 2 +4 = 32

32units²

48
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar and to indicate an exponent.
The formula for the volume of a cylinder is V=112h. The volume of a cylinder is three times the volume of a cone with the same radius and
height.
If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone Rin terms of the
radius of cylinder ris

Answers

Answer:

Vco = 1/3×πr2h

Vcy = Vco --> πr^2×h = 1/3πR^2×h

h's cancel, as well as π's

r^2 = 1/3R^2 --> R^2 = 3r^2 -->

SR (R^2) = SR (3r^2)

R = SR(3)×r

Step-by-step explanation:

A Pew Research study finds that 23% of Americans use only a cell phone, and no land line, for making phone calls (The Wall Street Journal, October 14, 2010). A year later, a researcher samples 200 Americans and finds that 51 of them use only cell phones for making phone calls.Set up the hypotheses in order to determine whether the proportion of Americans who solely use cell phones to make phone calls differs from 23%.

Answers

Answer:

We accept H₀ sample does not give evidence to support that the proportion of Americans who solely use cell phone differs from 23 %

Step-by-step explanation:

A pew research finds  that  23 %  ( μ ) of Americans use only cell phone

Sample Information

sample size   n  = 200

x₁  =  51     then   p₁  = 51/200   p₁  =  0,255

and  q₁  =  1  - p ₁    q₁  =  1  - 0,255    q₁  =  0,745

Sample big enough for the approximation of the binomial distribution to the normal distribution

p₁*n  = 0,255 * 200 = 51  > 5   and   q₁*n    = 0,745* 200 =  149 > 5

Test hypothesis

Null hypothesis                       H₀              p₁  = μ = 0,23

Alternative hypothesis           Hₐ              p₁  ≠  0,23

Is a two tail test. We choose CI = 95 %  then significance level is                    α = 0,05 %

α = 0,05 as is a two tail test   α/2  = 0,025

from z-table  z(c) = 1,96

To calculate  z(s) = ( x  -  μ ) /√p₁*q₁/n  

  z(s) = ( 0,255 - 0,23 )/√0,255*0,745/200

z(s)  =  0,025 / 0,0308

z(s)  = 0,81

Comparing z(s)   and  z(c)

z(s) < z(c)      0,81 < 1,96

Then  z(s) is in the acceptance region: we accept H₀


PLEASE HELP ME ON THIS QUESTION

Answers

Answer:

i think its D

Step-by-step explanation:

i multiplied 12x16 and 192 then I multiplied 192x3 which gave me 576

Bob wants to invest his $3000 in an account that gets 3.4% interest rate compounded monthly, how much money will he have after 12 years? (round to nearest whole number)

Answers

Answer:

After 12 years Bob will have $ 4,508.80 in his account.

Step-by-step explanation:

Given that Bob wants to invest his $ 3000 in an account that gets 3.4% interest rate compounded monthly, to determine how much money will he have after 12 years the following calculation must be performed:

3000 x (1 + 0.034 / 12) ^ 12x12 = X

3000 x (1 + 0.0028333) ^ 144 = X

3000 x 1.0028333 ^ 144 = X

3000 x 1.502932 = X

4,508.80 = X

Therefore, after 12 years Bob will have $ 4,508.80 in his account.

Brainliest for correct answer asap

Answers

Answer:

A Positive Association

Answer:

The scatter plot has no association.

Step-by-step explanation:

As you can see, the provided scatter plot maintains ordered pairs that are neither positive nor negative; the line of best fit would be hard to determine by looking at this graph. Hope this helps; have a great day!

Jeff translates triangle FGH 2 units left and 4 units up.

What are the new coordinates of point F after the translation?

O A (-2,4)
O B. (0,4)
O C. (2,6)
OD. (6,6)
(look at photo)
PLZ HELP FAST ILL GIVE POINTS AND BRAINLYEST

Answers

Answer:

C. (2,6)

Step-by-step explanation:

Translate 2 units left and 4 units up: (x,y) -> (x-2 , y+4)

F (4,2) -> (4-2 , 2+4) -> (2 , 6)

please help me on this

Answers

Answer:

C

Step-by-step explanation:

Find all solutions to 4x^2 + 2x -2 = 1?

Answers

Answer:

=−1±1 3√4

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Move the constant to the left, 4x^2+2x-2-1=0

Calculate the difference, 4x^2+2x-3=0

then solve using quadratic equation (must too difficult to type out)

BEUH PLEASE ANWSERRDDD THIS

Answers

Answer:

Circumference

Step-by-step explanation:

Answer:

circumference

Step-by-step explanation:

Rachel cut a whole banana into 6 pieces and then ate all the pieces. She put a point on a number line to show how much she ate.
0
Which fraction is equal to the point shown on the number line?

Answers

Answer:

I can't see the number line but I assume the fraction would be 6/6

Becky graphs a system of two linear equations and determines that (1,5) and (3,7) are solutions.
What does the graph of the system look like? How many solutions are possible?

A) curve; two solutions
B) two lines; one solution
C) two lines; two solutions
D) one line; infinitely many

Answers

Answer:

D ) one line; infinitely many

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

11/20

Step-by-step explanation:

plz can i get brainliest:)

x=4 inches
y=10 inches
z=2 inches
Find the volume of the figure. Round to the hundredths place.

Answers

Answer:

i believe the answer is 142.42 in²

Step-by-step explanation:

what i did was 'separate' the cone and cylinder-

so the volume of cylinder formula is-

v=πr²h

and the volume for a cone is-

v=πr²h/3

now let us fill in the formulas with the information that we have-

v=π*2²*10=125.66

v=π*2²*4=16.76

now let us add the sums together-

125.66+16.76=142.42 in²

good luck :)

i hope this helps

**please let me know if this is incorrect/not what you're looking for or both**

have a nice day!

there are 12 dozen pencils in a gross. how many pencils are in 15 gross

Answers

Answer:

A gross refers to a group of 144 items (a dozen or a square dozen, 122). A great gross refers to a group of 1728 items (a dozen gross or a cubic dozen, 123). A small gross or a great hundred refers to a group of 120 items (ten dozen, 10×12).

In ΔABC, a = 1.9 inches, b = 7.1 inches and c=7.4 inches. Find the measure of ∠B to the nearest degree.

Answers

Answer:

74°

Step-by-step explanation:

Given  ΔABC with:

a = 1.9 in, b = 7.1 in, c=7.4 in

To find

∠B

Solution

Use the law of cosines

cos B = (a² + c² - b²)/(2ac)cos B = (1.9² + 7.4² - 7.1²)/(2*1.9*7.4)cos B = 0.283m∠B = accos (0.283)m∠B = 74° (rounded)

Given f(x) = ex and g(x) = x -2, what is the range of (gºf)(x)? ​

Answers

Answer:

y>-2

Step-by-step explanation:

Answer on E2020

Answer:

The correct answer is D)  y>-2

Step-by-step explanation:

Edge 2021.

In a survey at a shoe store, 200 customers were asked whether they have
running shoes or basketball shoes. The results are in the relative frequency
table.
Total
Have running shoes
0.18
No running shoes
0.28
Have basketball shoes
No basketball shoes
0.22
0.32
Total
What percentage of the people surveyed have basketball shoes?
A. 40%
B. 46%
C. 60%
D. 54%

Answers

Answer:

it is b 46% I just took test.

The percentage of people wearing basket ball shoe is,

= 32%

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

In a shoe store survey there are 200 customers.

Given in the table is that, people using basketball shoes, not using basket shoes and then there is also classification of people using running or non running shoes.

We have been asked what percentage of people have basketball shoes.

People having basket ball shoes = 0.18 × 200 + 0.28 ×200

                                                   = 64

Thus, The percentage of people wearing basket ball shoe is,

= 64/200 x 100

= 32 %

Hence, The percentage of people wearing basket ball shoe is,

= 32%

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Find the value of m. ​

Answers

Answer:

8

Step-by-step explanation:

12-10=2

10-m=2

m=8

8.24 hope this helps you :)

Please help i would really appreciate it.

Answers

(1,4) this is because the flip over y axis does not touch the y value but gives the opposite of the x value
The third one maybe? Don’t blame me if it’s wrong

Is 0.6 greater than 0.85?? ( 4th grade work)

Answers

Answer:

No its not

Step-by-step explanation:

Answer:

No, 0.85 is greater.

Step-by-step explanation:

Imagine a number line, with one at the end and 0.1 at the other end. With .85, It would be closer to one, with 0.6 being behind 0.85. The only other reason that 0.6 is greater than 0.85 is if they are converted to fractions.

What is the volume? Please help!!!!!!!!!!!!!

Answers

Answer:

volume = 440 cm³

Step-by-step explanation:

volume = (1/2)(8)(10)(11) = 440 cm³

explain adpose tissue​

Answers

Answer:

Adipose tissue is commonly known as body fat. It is found all over the body. It can be found under the skin (subcutaneous fat), packed around internal organs (visceral fat), between muscles, within bone marrow and in breast tissue.

Adipose tissue is commonly known as body fat. It is found all over the body. It can be found under the skin (subcutaneous fat), packed around internal organs (visceral fat), between muscles, within bone marrow and in breast tissue.


Karen bought some books for $4 each and received a discount of $5 off of her total purchase. She spent 571 after the discount. How many
books did she buy? ( NO LINKS ) LINKS GET REPORTED!

Answers

Answer:

she bought 143

Step-by-step explanation:

The Barber family wants to go a distance of 440 miles in one day. They drive at an average rate of 55 miles per hour. How long will the trip take?

Answers

Answer: 8 hours

Step-by-step explanation: 440 divided by 55=8

Problem 4: Price-fixing Litigation(5 points) Background: Multiple regression is sometimes used in litigation. In the case of Cargill,Inc. v. Hardin, the prosecution charged that the cash price of wheat was manipulated in violation of the Commodity Exchange Act. In a statistical study conducted for this case, a multiple regression model was developed to predict the price of wheat using three supply- and demand explanatory variables. Data for 14 years were used to construct the regression equation, and a prediction for the suspect period was computed from this equation. The value of R2 was 0.989. Problem: Cargill, Inc. had priced the wheat at $2.13. Their legal team needed to demonstrate that the price was not artificially depressed. For purposes of this project, suppose the sample size was 100. Requirements: 1.(2.5 points) For the relevant case, the fitted model gave the predicted value $2.136 with standard error $0.013. Based on this, determine the 95% prediction interval for the price of wheat. 2.(2.5 points)

Answers

Answer:

[tex]Critical\ value=1.66039[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=100[/tex]

Mean price of wheat [tex]\=x=2.136[/tex]

Standard error [tex]S_e=$0.013[/tex]

95% prediction interval

Generally the equation for 95% confidence is mathematically given by

[tex]\alpha=1-95\%[/tex]

[tex]\alpha=1-0.95[/tex]

[tex]\alpha=0.05[/tex]

Generally the degree of freedom [tex]d_f[/tex]  is mathematically given by

[tex]d_f=n-1[/tex]

[tex]d_f=100-1[/tex]

[tex]d_f=99[/tex]

Generally the critical [tex]t_{\alpha,df}[/tex] value is mathematically given by

[tex]t_{(0.05,99)}[/tex]

[tex]t_{(0.05,99)}=1.66039[/tex]

Therefore the critical associated with 95% predication interval is [tex]Critical\ value=1.66039[/tex]

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