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Anettt [7]
3 years ago
15

Kirsten runs an experiment for her Research Methods class in which she studies vocabulary learning in introductory-level French

students. At the start of the semester she assesses the students' knowledge of French vocabulary, then at the end of the semester she does another assessment. What statistical test should she use to see whether her French students significantly increased their knowledge of French vocabulary?
Mathematics
1 answer:
Sidana [21]3 years ago
7 0

Answer:

Kristen should use the paired <em>t</em>-test.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference between these two means.

We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.

For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.

In this case, Kristen assesses the students' knowledge of French vocabulary at the start of the semester and then again at the end of the semester.

So, she collects data before and after the semester for vocabulary learning in introductory-level French class.

Thus, she is using a paired <em>t</em>-test to analyze whether the French students significantly increased their knowledge of French vocabulary.

The hypothesis is defined as:

<em>H₀</em>: There is no difference between the two means, i.e. <em>μ</em>₁ - <em>μ</em>₂ = 0.

<em>Hₐ</em>: There is a significant difference between the two means, i.e. <em>μ</em>₁ - <em>μ</em>₂ ≠ 0.

The test statistic is:

t =  Sample mean difference ÷ (Standard deviation of difference/ Sample size)

Thus, Kristen should use the paired <em>t</em>-test.

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The bill is $100.99. You want to leave a 20% tip. How much should the tip be?
Arisa [49]

Answer:

$20.20

Step-by-step explanation:

First Convert 20% into a decimal, by dividing it by 100

Percent = out of 100

20/100 = 0.2

Now, multiply the decimal (0.2) with the bill amount ($100.99):

0.2*100.99

$20.198 <== *remember, we are using money, so we round to the nearest cent (dime)

$20.20 <== how much tip you want to leave

How much you pay altogether:

(Bill + tip)

100.99 + 20.20

$121.19

Hope this helps!

8 0
2 years ago
If the sum of the zereos of the quadratic polynomial is 3x^2-(3k-2)x-(k-6) is equal to the product of the zereos, then find k?
lys-0071 [83]

Answer:

2

Step-by-step explanation:

So I'm going to use vieta's formula.

Let u and v the zeros of the given quadratic in ax^2+bx+c form.

By vieta's formula:

1) u+v=-b/a

2) uv=c/a

We are also given not by the formula but by this problem:

3) u+v=uv

If we plug 1) and 2) into 3) we get:

-b/a=c/a

Multiply both sides by a:

-b=c

Here we have:

a=3

b=-(3k-2)

c=-(k-6)

So we are solving

-b=c for k:

3k-2=-(k-6)

Distribute:

3k-2=-k+6

Add k on both sides:

4k-2=6

Add 2 on both side:

4k=8

Divide both sides by 4:

k=2

Let's check:

3x^2-(3k-2)x-(k-6) \text{ with }k=2:

3x^2-(3\cdot 2-2)x-(2-6)

3x^2-4x+4

I'm going to solve 3x^2-4x+4=0 for x using the quadratic formula:

\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\frac{4\pm \sqrt{(-4)^2-4(3)(4)}}{2(3)}

\frac{4\pm \sqrt{16-16(3)}}{6}

\frac{4\pm \sqrt{16}\sqrt{1-(3)}}{6}

\frac{4\pm 4\sqrt{-2}}{6}

\frac{2\pm 2\sqrt{-2}}{3}

\frac{2\pm 2i\sqrt{2}}{3}

Let's see if uv=u+v holds.

uv=\frac{2+2i\sqrt{2}}{3} \cdot \frac{2-2i\sqrt{2}}{3}

Keep in mind you are multiplying conjugates:

uv=\frac{1}{9}(4-4i^2(2))

uv=\frac{1}{9}(4+4(2))

uv=\frac{12}{9}=\frac{4}{3}

Let's see what u+v is now:

u+v=\frac{2+2i\sqrt{2}}{3}+\frac{2-2i\sqrt{2}}{3}

u+v=\frac{2}{3}+\frac{2}{3}=\frac{4}{3}

We have confirmed uv=u+v for k=2.

4 0
3 years ago
What is the difference in length between the shortest and longest worm?<br><br>I don't understand
eduard
Shortest is 3/4 longest is 1 1/2. 1 1/2 -3/4=3/4
8 0
3 years ago
Read 2 more answers
How do I solve 3a=57
MatroZZZ [7]
Divide 3 from both sides to get a=57/3 then a=19
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3 years ago
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12.Se consideră mulţimile A={3x-1, 2x+1, 4x+2} şi B={x+1, x+2, 2x+4} unde x ∈ N. Valoarea lui x pentru
Artyom0805 [142]

Answer:

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