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Licemer1 [7]
2 years ago
7

A researcher tests the effect of environmental condition on task performance. She uses a between subjects design and has partici

pants complete a series of math problems under different temperatures (cold, warm, hot) and noise conditions (quiet, noisy). The number of correct problems for each participant is recorded. The most appropriate test to analyze the data would be a(n) _______
Mathematics
1 answer:
nexus9112 [7]2 years ago
7 0

Answer:

<em>F test</em>

Step-by-step explanation:

<em>For any test using the F-distribution, a "F Test" is a capture-all word. In certain circumstances, as individuals speak about the F-Test, it is the F-Test to compare two variances that they actually talk about. </em>

Moreover, in a multitude of tests, the f-statistics is used such as regression analysis, the Chow test and the Scheffe test (a post-hoc ANOVA test).

One should be using Excel, SPSS, Minitab or some other form of software to run the experiment if you are running a F test.

<em><u>Steps include.</u></em>

  1. State the hypothesis of nullity and the counter hypothesis.
  2. Determine the value of F. The F value is determined using equation F = (SSE1 – SSE2/m)/SSE2/n-k, where SSE = square residual, m = number of constraints, and k = number of independent variables.
  3. Find the statistics for F (the critical value for the test). The F statistical formula is: F Statistics = group mean / mean variance of variances within the group.  
  4. The F Statistics can be found in the F-Table.  
  5. The Null Hypothesis is accepted or denied.
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Find the domain of
ch4aika [34]

Answer:

C (x ≥ -6)

Step-by-step explanation:

<u>Algebraic:</u>

The domain of \sqrt{x} is x\geq 0. When transformed 6 units to the left, it becomes x\geq -6

<u>Graphically:</u>

As shown in the attached graph, x\geq -6 .

6 0
3 years ago
In the accompanying diagram of ABC ca is extended to D, m∠ABC = 70 and m∠BCA =50 Find m∠DAB
zvonat [6]

Answer:

<em>120 degrees</em>

Step-by-step explanation:

Find the diagram attached.

From the diagram;

Interior angles are m∠BCA and m∠ABC

Exterior angle is m∠DAB

The sum of interior angle of the triangle is equal to exterior

m∠BCA +m∠ABC =m∠DAB

Given

m∠ABC = 70

m∠BCA =50

m∠DAB = 70 + 50

m∠DAB = 120 degrees

<em>Hence the measure of m∠DAB is 120 degrees</em>

6 0
3 years ago
If angle a measures 64 then what does angle b measure?
Naddik [55]

Answer:

b = 26°

Step-by-step explanation:

a ; b = complementary =>

a + b = 90°  } => b = 90° - 64° = 26°

a = 64°

8 0
3 years ago
Read 2 more answers
.........................................................................................................
gogolik [260]

Answer:

.................................................................................

........................

Step-by-step explanation:

Please MARK AS BRAINLIEST

4 0
3 years ago
You are creating an open top box with a piece of cardboard that is 16 x 30“. What size of square should be cut out of each corne
Arada [10]

Answer:

\frac{10}{3} \ inches of square should be cut out of each corner to create a box with the largest volume.

Step-by-step explanation:

Given: Dimension of cardboard= 16 x 30“.

As per the dimension given, we know Lenght is 30 inches and width is 16 inches. Also the cardboard has 4 corners which should be cut out.

Lets assume the cut out size of each corner be "x".

∴ Size of cardboard after 4 corner will be cut out is:

Length (l)= 30-2x

Width (w)= 16-2x

Height (h)= x

Now, finding the volume of box after 4 corner been cut out.

Formula; Volume (v)= l\times w\times h

Volume(v)= (30-2x)\times (16-2x)\times x

Using distributive property of multiplication

⇒ Volume(v)= 4x^{3} -92x^{2} +480x

Next using differentiative method to find box largest volume, we will have \frac{dv}{dx}= 0

\frac{d (4x^{3} -92x^{2} +480x)}{dx} = \frac{dv}{dx}

Differentiating the value

⇒\frac{dv}{dx} = 12x^{2} -184x+480

taking out 12 as common in the equation and subtituting the value.

⇒ 0= 12(x^{2} -\frac{46x}{3} +40)

solving quadratic equation inside the parenthesis.

⇒12(x^{2} -12x-\frac{10x}{x} +40)=0

Dividing 12 on both side

⇒[x(x-12)-\frac{10}{3} (x-12)]= 0

We can again take common as (x-12).

⇒ x(x-12)[x-\frac{10}{3} ]=0

∴(x-\frac{10}{3} ) (x-12)= 0

We have two value for x, which is 12 and \frac{10}{3}

12 is invalid as, w= (16-2x)= 16-2\times 12

∴ 24 inches can not be cut out of 16 inches width.

Hence, the cut out size from cardboard is \frac{10}{3}\ inches

Now, subtituting the value of x to find volume of the box.

Volume(v)= (30-2x)\times (16-2x)\times x

⇒ Volume(v)= (30-2\times \frac{10}{3} )\times (16-2\times \frac{10}{3})\times \frac{10}{3}

⇒ Volume(v)= (30-\frac{20}{3} ) (16-\frac{20}{3}) (\frac{10}{3} )

∴  Volume(v)= 725.93 inches³

6 0
3 years ago
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