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Talja [164]
3 years ago
11

A statistics tutor wants to assess whether her remedial tutoring has been effective for her five students. She decides to conduc

t a related samples t-test and records the following grades for students prior to and after receiving her tutoring.
Tutoring
Before After
2.4 3.1
2.5 2.8
3.0 3.6
2.9 3.2
2.7 3.5
Test whether or not her tutoring is effective at a 0.05 level of significance. State the value of the test statistic. (Round your answer to three decimal places.)
t =
Compute effect size using estimated Cohen's d. (Round your answer to two decimal places.)
d =

Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0

Answer:

The test statistic value is, <em>t</em> = -5.245.

The effect size using estimated Cohen's d is 2.35.

Step-by-step explanation:

A paired <em>t</em>-test would be used to determine whether the remedial tutoring has been effective for the statistics tutor's five students.

The hypothesis can be defined as follows:

<em>H</em>₀: The remedial tutoring has not been effective, i.e. <em>d</em> = 0.

<em>Hₐ</em>: The remedial tutoring has been effective, i.e. <em>d</em> > 0.

Use Excel to perform the Paired <em>t</em> test.

Go to Data → Data Analysis → t-test: Paired Two Sample Means

A dialog box will open.

Select the values of the variables accordingly.

The Excel output is attached below.

The test statistic value is, <em>t</em> = -5.245.

Compute the effect size using estimated Cohen's d as follows:

\text{Cohen's d}=\frac{Mean_{d}}{SD_{d}}

                =\frac{0.54}{0.23022}\\\\=2.34558\\\\\approx 2.35

Thus, the effect size using estimated Cohen's d is 2.35.

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Determine each of the following.
castortr0y [4]

Answer:

(a) \{1,2,3,4,5,6,7,8,9,10\}

(b) 10

(c) \{\}

(d) 0

(e) 1024

Step-by-step explanation:

(a)

A = {x ∈ Z | 0 < x, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

0                ... (1)

x^2\leq 100

Taking square root on both sides.

-\sqrt{100}\leq x\leq \sqrt{100}

-10\leq x\leq 10             .... (2)

Using (1) and (2) we get

0

Since x ∈ Z,

A=\{1,2,3,4,5,6,7,8,9,10\}

(b)

We need to find the value of  | {x ∈ Z | 0 < x, x² ≤ 100}| or |A|. It means have to find the number of elements in set A.

|A|=10

| {x ∈ Z | 0 < x, x² ≤ 100}| = 10

(c)

B = {x ∈ Z | x > 10, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

x>10                ... (3)

x^2\leq 100

It means

-10\leq x\leq 10             .... (4)

Inequality (3) and (4) have no common solution, so B is null set or empty set.

B=\{\}

(d)

We need to find the value of |{x ∈ Z | x > 10, x² ≤ 100}| or |B|. It means have to find the number of elements in set B.

|B|=0

|{x ∈ Z | x > 10, x² ≤ 100}| = 0

(e)

We need to find the value of | P(A) |. P(A) is the power set of set A.

Number of elements of a power set is

N=2^n

where, n is the number of elements of set A.

We know that the number of elements of set is 10. So the value of |P(A)| is

|P(A)|=2^{10}

|P(A)|=1024

Therefore |P(A)|=1024.

7 0
3 years ago
I am so dumb, anyone ?
Georgia [21]

Answer: (1,1)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Math Help? 15 Points
devlian [24]
Umm. Is this high school?.
4 friends x 2 ballons = 8 friends only ballons. 
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4 0
3 years ago
Brandon makes lemon water by adding of a cup of sliced lemon to 2 cups of water. At this rate, how many cups of sliced lemon wou
tatuchka [14]
1 lemon to 2 waters will be proportional to what he Brandon needs so:

1 lemon / 2 water = x lemon / 12 water

Multiply by 12
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He needs 6 cups of lemons
5 0
4 years ago
Which mathematical symbol would best fill in the blank to compare the two real numbers?
Alexandra [31]

Answer:  The correct option is (A) < .

Step-by-step explanation:  We are given to select the correct mathematical symbol that would best fill in the blank to compare the following two real numbers :

\sqrt7~~~?~~~\dfrac{14}{5}.

First , we need to find the values of both the real numbers in decimal form.

We have

\sqrt7=2.64575...,\\\\\dfrac{14}{5}=2.8.

Since, 2.64575 so we get

\sqrt7

Thus, the correct mathematical symbol is <.

Option (A) is CORRECT.

5 0
3 years ago
Read 2 more answers
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