For the given scenario, determine the type of error that was made, if any.

A new whitening toothpaste advertises four shades as the mean number of shades the toothpaste whitens your teeth. One user claims that the mean number of shades the toothpaste whitens your teeth is less than four shades. The user conducts a hypothesis test and fails to reject the null hypothesis. Assume that in reality, the mean number of shades the toothpaste whitens your teeth is three shades. Was an error made? If so, what type?

a. yes type I error
b. yes type II error
c. no correct decison

Answers

Answer 1

Answer:

b. yes type II error

Step-by-step explanation:

When the null hypothesis is false as is in this case and it is accepted so the decision made is wrong. This is a type II error.

When we accept the null hypothesis when actually it is false it is called a type II error.

In reality, the mean number of shades the toothpaste that whitens the teeth is three shades.

Where as the null hypothesis was that the four shades  are taken as the mean number of shades the toothpaste whitens the teeth.

Therefore as the null hypothesis which is actually false is accepted so a wrong decision is made a type II error is made.


Related Questions

The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals.

Answers

Answer:

2√3 = hypotenuse

√3 = side

Step-by-step explanation:

[tex]\sqrt{3^{2} +x^{2} } = 2x \\\sqrt{9 +x^{2} } = 2x\\9+x^{2} =(2x)^{2} \\9+x^{2} = 4x^{2} \\9 = 4x^{2} - x^{2} = 3x^{2} \\3 = x^{2}\\\sqrt{3} = x\\\\2x = 2\sqrt{3}\\[/tex]

Answer:

the smaller side=√3

hypotenuse=2√3

Step-by-step explanation:

(see the attachment below)

Simplify the radical expression. ⁴√81x²⁰y²⁴

I think it's either A or B​

Answers

Answer:

3x^5y^6 (a)

Step-by-step explanation:

La raiz de un productor es igual al producto de las raices de cada factor

^4√81 ^4√x^20 ^4√y^24

escriba el numero en forma exponencial an base 3

^4√3^4 ^4√x^20 ^4√y^24

simplifica el indice de la raiz y el exponente usando 4

^4√3^4 x^5 ^4√y^24

simplifica el indice de la raiz y el exponente usando 4

^4√3^4 x^5 y^6

simplifica el indice de la raiz y el exponente usando 4

3x^5y^6

Solvefor x. 3x+ 2 = 9 –x

Answers

Answer:

x = 7/4

Step-by-step explanation:

3x+ 2 = 9 –x

3x + x = 9 - 2

4x = 7

x = 7/4

Does anyone know 15?

Answers

Answer:

radius

Step-by-step explanation:

The radius rotates about the center

f(x) = x^2 What is g(x)?
A. g(x) = - x^2 -2
B.g(x) = x^2 - 2
C. g(x) = - 2x^2
D. g(x) = - x^2​

Answers

Answer:

C. g(x) = -2x^2

Answer:

A. g(x) = - x^2 -2

Step-by-step explanation:

Csc(tan^1 square root 17 divided by 8)
Please help fast!!!

Answers

Answer:

Option D

Step-by-step explanation:

We have that:

csc(x) = 1/sin(x)

Then:

csc(  tan(√(17)/8)^-1 )

To use the inverse tangent function, you can go to the "inv" button in your calculator, and then use go to the "tan" button.

This is equal to:

= csc( 27.26°)

= csc(27.26°)

= 1/sin(27.26°) = 2.18

And we know that:

(9*√17)/17 = 9/√17 = 2.18

Then the correct option is D.

Julio invests $6,100 into an account that earns 5.2% annual compound interest. If Julio makes no additional deposits or withdrawals, which best represents the amount of interest Julio will earn after 8 years?


A $15,250.73

B $2,120.73

C $3050.73

D $9150.73

Answers

D) $9150.73

Step-by-step explanation:

Simple compound irate =

principal*growth rate^years

or

V(t) = p*g^t

Where g = 100% + the given growth rate,

in this case, 5.2%

So,

V(8) = 6,100*1.052^8

V(8) = 9150.73

What type of function does this equation represent?
2
Y = 4
(1)

Answers

Answer:

2y=4 is a linear function

Step-by-step explanation:

Since 2y=4 is the same as 2y¹=4, then a degree of 1 makes the function linear, aka. a straight line.

How many square feet of outdoor carpet will we need for this hole? HELP PLS!!!

Answers

Answer: The answer is 39 square feet.

Step-by-step explanation:

By saying square feet it's indicated that you mean the area of this irregular figure.

To do this you can break apart the shape into two pieces.

The first 11 x 3 rectangle then the 2 x 3 rectangle.

Next, you can find the area to be 33 square feet and 6 square feet. respectively, afterward, you add the areas together to find the area of the figure, which is 39 square feet.

PLEASE HELP ME!!!
You and your friend got tricked into helping another friend move stuff from a garage into moving truck. The ramp used is 12 feet long and makes a 36° angle with the horizontal ground. You discover that the incline is just too steep, so you replace the ramp with one that is 32 feet long. What angle does this replacement ramp make with the ground? Round your answer to the nearest tenth of a degree

Answers

Answer:

12.73 Degrees

Step-by-step explanation:

I'm going to assume some things. The height of the truck is not changing, i.e. the the distance and length of the ramp is but the height stays the same.

We draw our right triangle, see photo

We really only care about finding out what side a is so

[tex]c = \frac{a}{ \sin(x) } [/tex]

Note: Let x = A

[tex]12 = \frac{a}{ \sin(36) } [/tex]

[tex]12 \sin(36) = a \\ a = 7.05342302750[/tex]

[tex] \sin(x) = ( \frac{opp}{hyp} ) \\ \sin(x) = ( \frac{7.05342302750}{12} ) \\ = 35.9999 \: degrees[/tex]

So, since I stated that height did not change, same process just using 32 for the hypotenuse.

[tex] \sin(x) = ( \frac{opp}{hyp} ) \\ \sin(x) = ( \frac{7.05342302750}{32} ) \\ = 12.73367164 \: \: degrees[/tex]

A bag of trail mix contains 3 ounces of peanuts, 6 ounces of cranberries, 2 ounces of almonds, and 2 ounces of raisins.

What is the ratio of ounces of peanuts to ounces of almonds? Write the ratio in three different ways?

Answers

Answer: 9514 1404 393

3 : 2

3/2

1.5

Step-by-step explanation:

Ratios can be written using a colon, division symbol, or as a pure number. (Consult your curriculum materials to see what their take on it is.)

3 ounces of peanuts to 2 ounces of almonds can be written as ...

 peanuts : almonds = 3 : 2 = 3/2 = 1.5

PLEASE Solve y=-2.4x+8.2

Answers

y=-2.4x+8.2
0=-2.4x+8.2
2.4x (Divide) 8.2
x= 41/12

Use the distributive property to find an expression equivalent to
2x(x+7-(3x+1)

Answers

Answer:

-4x² + 12x

Step-by-step explanation:

2x(x+7-1(3x+1)) = 2x(x+7-3x-1)

= 2x² + 14x - 6x² - 2x

= -4x² + 12x

2x(x+7-(3x+1)
The answer is 4x-31=14

Given the expression 5+3(7-4), which mathematical terms describe (7-4)? Select all that apply.

Answers

differences and constant

The term ( 7 - 4 ) is described as a difference or subtraction

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is  5+3(7-4).

Two or more expressions with an Equal sign is called as Equation.

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 5 + 3 ( 7 - 4 )

And , ( 7 - 4 ) is described as a difference or subtraction between 7 and 4.

On simplifying , we get

A = 5 + 3 ( 3 )

A = 5 + 9

A = 14

Therefore , the value of A = 14

Hence , the term ( 7 - 4 ) is described as a difference or subtraction

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ3

please answer you will be awarded brainleist

Answers

Answer:

Hi, I'm here!

If m∆D = 16x + 13° and m∆B = 19x - 8°, then what is the degrees measure of arv ABC?​

Answers

Answer:

45 degree

Step-by-step explanation:

If the radius of a circle is one what is the sin and cosine

Answers

The unit circle is a circle with radius 1 centered at the origin of the Cartesian Plane. In a pair of coordinates (x,y) on the unit circle x2+y2=1, coordinate x is the cosine of the angle formed by the point, the origin, and the x-axis. Coordinate y is the sine of the angle.

Please can someone help me. I’m giving POINTS!! Solve for X

Answers

Answer:

6

Step-by-step explanation:

By inscribed angle theorem

[tex](15x-23)\degree = \frac{1}{2}[360\degree-(91+135)\degree]\\(15x-23)\degree = \frac{1}{2}[360\degree-226\degree]\\(15x-23)\degree = \frac{1}{2}[134\degree]\\(15x-23)\degree = 67\degree\\15x-23 = 67\\15x = 67+23\\15x = 90\\x= \frac{90}{15}\\x=6[/tex]

2 + 2
a. 4
b. 5
c. 2222
d.21

Answers

Answer:

The correct answer is A. 4

A. 4

2+1=3 3+1=4
The correct answer is 4

The figure shows the dimensions of a room. How much carpet is needed to cover the floor of the room?

Length = 4m
width = 6m

Answers

Answer: 24m

Step-by-step explanation:

How much carpet is asking the area and area= LW

so Length(4) x Width(6) = 24

First, write the expression Second, 7 in fol the variable, p. Third, by 7 and 5. The answer is​

Answers

Answer:

p-5

substitute

simplify

subtracting

2

Step-by-step explanation:

got it right on edg

HELPPPPPP PLS!!!!!!!!!

Answers

Answer:

y-25=180

Step-by-step explanation:

Same line so 180 degrees.

Answer: D or “y + 25 = 180”

a straight line is 180 degrees, therefore the combination of two angles should equal 180.

With that being said the answer should be y plus 25 = 180!

to find y, flip the equation: 180 - 25 = 155. Therefore y = 155 :)

happy to help! pls give me brainliest <3

Helps me please help me please please help please help me please

Answers

Answer:

[tex]\boxed {\boxed {\sf (4,3) \ is \ not \ a \ solution}}[/tex]

Step-by-step explanation:

If we want to test a solution, we can plug it into the equations and see if it checks out.

We are given the point (4,3). Since points are written (x,y)...

x=4 y=3

Substitute the values into the first equation.

[tex]11x+9y=17 \\11(4)+9(3)=17[/tex]

Multiply.

[tex]44+ 27=17\\[/tex]

Add.

[tex]71 \neq 71[/tex]

This does not check out, so we automatically know this point doesn't work. However, we can check the other equation.

[tex]x+y=7 \\4+3=7\\7=7[/tex]

Even though the second equation works, BOTH have to work because this is a system of equations. Therefore, (4,3) is not a solution.

What is the solution to 5/6 X 2/3 =
? Mark the TWO correct

answers.

Answers

Answer:

5/9

Step-by-step explanation:

Answer:

i think is 5/9 :))

The value of x must be greater than
B
12
...d
0 0
A
15
0 1
O 3
07

Answers

9514 1404 393

Answer:

  (c)  3

Step-by-step explanation:

The value of x must be between the difference and sum of the lengths of the other two sides. The value must be greater than 15-12 = 3.

  x > 3

Find the volume, in cubic centimeters, of the rectangular prism pictured below.

Answers

Answer:

V= 18.75 cm^3

Step-by-step explanation:

The formula for finding the volume for any given shape is V = L x W x H.So, multiply 2 1/2 cm x 2 1/2 cm x 3 cm.This gives you 18.75 cm^3

Find all real zeros of the function.
5. f(x) = x3 - 3x2 - 6x + 8
6. g(x) = x3 + 4x2 - x - 4​

Answers

Answer:

I can't understand your equation. Please rewrite it.

Step-by-step explanation:

Answer:

??????????????

Step-by-step explanation:

For each line, determine whether the slope is positive, negative, zero, or undefined. Line 1 Line 2 Line 3 Line 4 Positive O Negative O Zero O Undefined O Positive O Negative Zero O Undefined Positive Negative Zero O Undefined O Positive Negative Zero O Undefined Х $ ? Continue o Type here to search ㅇ​

Answers

Answer:

Line 1: zero

Line 2: negative

Line 3: undefined

Line 4: positive

Step-by-step explanation:

Line 1 => slope is horizontal. The slope of horizontal lines are always equal to 0. Therefore, the slope of line 1 is zero.

Line 2 => the line slants downwards form our left to the right, this implies there is a decline or increase. Thus, the slope would be negative.

Line 3 => the line of a vertical line is always undefined. Line 3 slope is therefore undefined.

Line 4 => the slope slants upwards from our left to the right. This indicates a rising slope or an increase. Therefore, the slope of line 4 is positive.

What is the cube root of -729ab6?
O-9ab2
O
-9ab3
O-8a3b2
O
-8a²b3

Answers

Answer:

Step-by-step explanation:

The way they are written, question does not fit any of the choices. Did you mean ∛(-729ab⁶) ? ∛(-729a³b⁶) ?


11. Find SP, if MP = 5500, discount = 20%.
12. A car is moving at a constant speed of 40km/hr. Find the distance it will
cover in 15 minutes.
13. Find the area of a rhombus, whose diagonals are 5cm and 8cm long.
14. Find the smallest square number which is divisible by each of the numbers
6.9 and 15.

please give me an answer for these question ​

Answers

Answer:

11. 4400

Step-by-step explanation:

11.

solution :

MP = RS 5500

Discount = 20%

SP = MP - D % of MP

= 5500 - 20 % × 5500

= 5500 - 1100

= Rs 4400

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