An analytical laboratory is asked to evaluate the claim that the concentration of the active ingredient in a specimen is 86%. The lab makes 3 repeated analyses of the specimen. The sample mean result is 0.8708. The true concentration is the mean m of the population of all analyses of the specimen. The standard deviation of the analysis process is known to be LaTeX: \sigmaσ = 0.0068. Is there significant evidence at the 1% level that LaTeX: \muμ is different than 0.86? (assume normality)

Answers

Answer 1

Answer:

Decision rule

   Reject null hypothesis

Conclusion

There is significance evidence that the true mean is different from 0.86

Step-by-step explanation:

From the question we are told that

  The population mean   [tex]\mu  = 0.86[/tex]

   The  sample is  mean is [tex]\=  x  =  0.8708[/tex]

  The standard deviation is  [tex]\sigma =  0.0068[/tex]

The  level of significance is  [tex]\alpha  =  0.01[/tex]

  The  sample size n =  3

The null hypothesis is  [tex]\mu =  0.86[/tex]

The alternative hypothesis  is [tex]\mu \ne  0.86[/tex]

Generally the test statistics is mathematically represented as  

    [tex]z =  \frac{\=  x  - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]

=> [tex]z =  \frac{ 0.8708 - 0.86 }{ \frac{0.0068}{\sqrt{3} } }[/tex]

=>  [tex]z =  2.751  [/tex]  

Generally  p- value is mathematically represented as

       [tex]p-value =  2 P(z >2.751   )[/tex]

From the z-table  

        [tex]P(z >2.751 ) =  0.0029707[/tex]

So

     [tex]p-value =  2 *  0.0029707[/tex]

=>   [tex]p-value =  0.00594 [/tex]

From the obtained question we see that  [tex]p-value  <  \alpha[/tex]

Hence we reject the null hypothesis

 


Related Questions

Could someone help me solve this? Lines AB and CD are parallel. Enter the measures of the three angles in triangle ABF.

Answers

Answer:

A=43

B=32

C=105

A contractor cut 28 feet of wire into sections that were feet long. How many pieces of wire did the contractor have?

Answers

Answer:

its 6

Step-by-step explanation

Candice is searching online for One Direction tickets. Last week, the cost for front row seats was $250, but today it is $300. What is the percent of increase in the price of the ticket?

a. 50%

b.20%

c.10%

d.30%

Answers

b. 20%

300 - 250 = 50
50/250 = .2


Y’all please help me

Answers

Yeah it’s c I took that test to

A line passes through the point (0, -1) and has a positive slope. Which of these points could that line pass through?
Check all that apply.
(12,3)
(-2,-5)
(-3,1)
(1.15)
(5,-2)

Answers

Answer:

  (12, 3), (-2, -5), (1, 15)

Step-by-step explanation:

The line can pass through any point with a positive x-value and a y-value greater than -1. Those points include ...

  (12, 3), (1, 15)

The line can pass through any point with a negative x-value and a y-value less than -1. That point is ...

  (-2, -5)

__

In the attached, the green lines have positive slope; the red lines do not.

Answer:

A line passes through the point (0, –1) and has a positive slope. Which of these points could that line pass through? Check all that apply.

(12, 3)  Correct

(–2, –5) Correct

(–3, 1)

(1, 15) Correct

(5, –2)

Step-by-step explanation:

Got it right on edge 2023

Hope you have a great day peeps!

choose the correct decimal for the expression. seven and ten-thousandths.......7.10, 0.710, 7.0010, 7.010......we chose 7.0010 and it was wrong. help​

Answers

Answer:

7.010 if it's wrong im sorry

957x8=
how much does it equal too?

Answers

Answer:

7656

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The product will be 7656.

What is 64*84 show work

Answers

Answer:

4,352

Step-by-step explanation:

        6 4

×       6 8

-----------------------------

+     5 1 2

+   3 8 4  

=  4 3 5 2

I’ll Give BRAINLIEST Just Help Now

Answers

Answer:

I cant see the thing just dont the answers down pls i can help just cant see the pic

Step-by-step explanation:

Answer: x= 60 degrees, y=25 degrees

ABC is equilateral so all angles are 60.

Therfore, we know that angle bcd must be 120 degrees.

Triangles are 180

120+35= 155

180-155= 25

hope this helps!!

Mr. Meyer bought a block of fudge that weighed 1/2 of a pound. He cut the fudge into 5 equal pieces. What was the weight of each piece of fudge?

Answers

Answer:

2.5 lb

Step-by-step explanation:

Mrs. Johnson wants to order pizza for her students. There are 21 students in her class Her goal was for each student to get 1/5 of a pizza. How many pizza's does she need to order?​

Answers

Answer:

5 and she will have 4/5 remaining.

Step-by-step explanation:

If you multiply the 5 slices per pizza by 4 pizza's you would be able to feed 20 students. Since her goal is to make sure EACH student gets 1/5 of a pizza she would need to order another one. So she needs to purchase 5 pizzas and would have 4 slices remaining.

(She could always eat those by herself or give them to me lol)

Hope that helps and have a great day!

Answer:

Mrs. Johnson need to order 5 pizzas.

Step-by-step explanation:

1. If you do 5, 10, 15, 20 that’s four

2. it’s not fair to leave one kid out so she needs to order 5 pizzas

Simplify.
4(1 + 8 . 9) - 62

Answers

Answer: -22.4

Step-by-step explanation:

If the numbers are correct and assuming the 8.9 is written as a decimal the answer is -22.4. If the 8 and 9 are multiplied than the answer is completely different.  

use matrices to determine the coordinates of the vertices of the translated figure. Triangle DEF with vertex matrix [7 -9 -1 -7 -3 -7] translated 1 unites left and 4 units down.

Answers

Answer:

(6, -11), (-10, -7) and (-2, -11)

Step-by-step explanation:

Coordinates of a triangle are represented in the form of a matrix as,

[tex]\begin{bmatrix}x_1 & x_2 & x_3\\ y_1 & y_2 & y_3\end{bmatrix}[/tex]

If the given triangle is shifted by 1 unit left and 4 units down,

Translation of vertices in the matrix form will be,

[tex]\begin{bmatrix}x_1 & x_2 & x_3\\ y_1 & y_2 & y_3\end{bmatrix}+\begin{bmatrix}-1 & -1 & -1\\ -4 & -4 & -4\end{bmatrix}[/tex]

For a triangle having vertices (7, -7), (-9, -3) and (-1, -7) when shifted 1 units left and 4 units down will be,

[tex]\begin{bmatrix}7 & -9 & -1\\ -7 & -3 & -7\end{bmatrix}+\begin{bmatrix}-1 & -1 & -1\\ -4 & -4 & -4\end{bmatrix}[/tex]

= [tex]\begin{bmatrix}7-1 & -9-1 & -1-1\\ -7-4 & -3-4 & -7-4\end{bmatrix}[/tex]

= [tex]\begin{bmatrix}6 & -10 & -2\\ -11 & -7 & -11\end{bmatrix}[/tex]

Coordinates of the triangle after the translation will be,

(6, -11), (-10, -7) and (-2, -11)

Maria took a taxicab from her home to the theater
downtown. The taxicab company charges a flat fee of $5.00
plus $0.25 per mile. Which equation represents C, the total
cost of her ride, in terms of m, the length of the trip in
miles?

Answers

Answer:

The answer is the third option, C = 5 + 0.25m

Step-by-step explanation:

We already know that the official price for the taxi is 5 dollars, so we aren't multiplying that value by anything.

However, the text mentions that for each mile, Maria is taxed an extra .25 cents. Therefore, you have to add the base amount, 5, plus the 25cent with the m next to it to symbolize that however many miles she goes, the 25 cents will be multiplied by that value.

The neutral point of your glider depends on what?

Answers

Answer:

The size of the wing and the size of the horizontal stabilizer

Step-by-step explanation:

you have a blender mixed with raspberries,blueberries,ice, and water.Which of the following will NOT change when mixed together?

a. magnetism
b. melting point
c. mass
d. color​

Answers

Magnetism? The melting point changes because of the ice, mass changes, and the colors of the fruits are mixed together

Answer:

Magnetism

Step-by-step explanation:

The melting point will actually get colder with the added ice

the mass will get more dense

the color will be a purpleish soothing color

The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).
Triangle ABC has coordinates
A (1,4);B(3,−2); and C(4,2).
Find the coordinates of the image
A'B'C' after a reflection over the x-axis.

Answers

Given:

Vertices of triangle ABC are A (1,4), B(3,−2) and C(4,2).

Triangle ABC reflected over the x-axis to get the triangle A'B'C'.

To find:

The coordinates of the image A'B'C'.

Solution:

If a figure reflected over the x-axis, then rule of transformation is

[tex](x,y)\to (x,-y)[/tex]

Now, using this rule, we get

[tex]A(1,4)\to A'(1,-4)[/tex]

[tex]B(3,-2)\to B'(3,2)[/tex]

[tex]C(4,2)\to C'(4,-2)[/tex]

Therefore, the coordinates of the image  A'B'C' after a reflection over the x-axis are A'(1,-4), B'(3,2) and C'(4,-2).

a pair of grant high school hockey fans counted the number of games won by the school each year

what was the rate of change between 2014 and 2015​

Answers

Answer:

8

Step-by-step explanation:

2015: 9 games won

2014: 1 game won

rate of change = 2015 games won - 2014 games won

rate of change = 9 - 1

rate of change = 8

Divide (3x^5-7x^3+5x^2+x-5)/(x^2-1)

Answers

67, the b and the c are yes

A large container holds 8 gallons of water. It begins leaking at a constant rate. After 16 minutes, the container has 7 gallons of water left. How many minutes will it take for the container to go from full to empty

Answers

I think it’s 112 minutes

Answer:

128 minuter, or 2 hours 8 minutes.

Step-by-step explanation:

So, every 16 minutes, 1 gallon leaks. that mean that we use 8x16, which is 128. now, we make them into hours, which is 2 hours, 8 minutes.

If you score higher than 90% on the test, you'll get an A. If you get an A, you can celebrate.
You scored a 92% on the test. What can you conclude using the Law of Syllogism?

Answers

Answer:

  You'll get an A and you can celebrate.

Step-by-step explanation:

The hypothesis for the first conditional is met, so we can assume the conclusion is true: you'll get an A.

That conclusion satisfies the hypothesis of the second conditional, so we can assume its conclusion is true: you can celebrate.

Taken together, we can assume ...

  You'll get an A and you can celebrate.

Help me with this question please

Answers

The answer is A/b because you divid b from both sides

527 x 36
What will this equal

Answers

Answer:

18972 I use an calculator

The solution of number 527 × 36 after multiplying is,

⇒ 527 × 36 = 18,972

We have to give that,

To solve the expression,

⇒ 527 × 36

Now, simplify the numbers as,

⇒ 527 × 36

After multiply,

⇒ 18,972

So, the solution is,

⇒ 18,972

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ6

whats 5.4 times 3.72

Answers

Answer:

20.088

Step-by-step explanation:

hope this helps

Answer:

20.088

Step-by-step explanation:

multiply

5.4 x 3.72 = 20.088

What is the quotient? (6x10) divided (1.5 x 10-4)

Answers

Answer:

5.4 hope this help

Felipe mixes 8 oz a raven 8 oz of sunflower seeds 12 oz of almonds and 12 oz of dried fruit for a recipe how many pounds of mix does Felipe make with his recipe ​

Answers

2.5 is you’re answer

Show all work to multiply quantity 6 plus the square root of negative 64 end quantity times quantity 3 minus the square root of negative 16 end quantity

Answers

Answer:

2

Step-by-step explanation:

(6 + square root of -64) - (square root of -16)

6 - 8 + 4

2

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression [6 + √(-64)] [3 - √-16] when simplified is equal to 50.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

What is a complex number?

A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit, and satisfies the equation i² = -1; every complex number may be represented as a + bi, where a and b are real numbers.

The given expression can be written as,

[6 + √(-64)] [3 - √-16]

= (6 + 8i)(3 - 4i)

= 18 - 24i + 24i - 32i²

= 18 - 32(-1)

= 18 + 32

= 50

Hence, The given expression [6 + √(-64)] [3 - √-16] when simplified is equal to 50.

Learn more about Expression:

https://brainly.com/question/13947055

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On the blueprint of a house,42 millimeters represents 8 meters. The actual length of the living room is 5 meters. What is its length on the blueprint?

Answers

Answer:

26.25 millimeters

Step-by-step explanation:

i think

The diameter of circle is 4cm. Determine the are of the circle.

Answers

Answer: Area of circle = 12.57cm² (I am assuming you mean area here)

Step-by-step explanation:

Area = πr²

radius = diameter ÷ 2

r = 4 ÷ 2

r = 2

π = 3.14159265359

shorten π to 3.14 for future reference. I just used the π button a a calculator for this answer though.

A = π × 2

A = 12.57

I WILL MARK BRAINLEST AND GIVE 100 POINTS! PLZ HELP ME IM STOOPID

Answers

Answer:

it's b and a

Step-by-step explanation:

Answer:

1. C) 15 inches

2. A) 22.5 inches

Step-by-step explanation:

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