1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AlladinOne [14]
3 years ago
10

A teacher wants to see if a new unit on factoring is helping students learn. She has five randomly selected students take a pre-

test and a post test on the material. The scores are out of 20. Has there been improvement? (pre-post) Student 1 2 3 4 5 Pre-test 12 14 11 12 13 Post- Test 15 17 11 13 12 The test statistic equals -1.50 What would be the p-value? Group of answer choices p-value is between 0.01 and 0.025 p-value > 0.20 p-value < 0.002 p-value > 0.10
Mathematics
1 answer:
sattari [20]3 years ago
6 0

Answer:

Step-by-step explanation:

Given the sample data

Pre-test... 12 14 11 12 13

Post-Test 15 17 11 13 12

The mean of pre-test

x = ΣX / n

x = (12+14+11+12+13) / 5

x = 12.4

The standard deviation of pre-test

S.D = √Σ(X-x)² / n

S.D = √[(12-12.4)²+(14-12.4)²+(11-12.4)²+(12-12.4)²+(13-12.4)² / 5]

S.D = √(5.2 / 5)

S.D = 1.02.

The mean of post-test

x' = ΣX / n

x' = (15+17+11+13+12) / 5

x' = 13.6

The standard deviation of post-test

S.D' = √Σ(X-x)² / n

S.D' = √[(15-13.6)²+(17-13.6)²+(11-13.6)²+(13-13.6)²+(12-13.6)² / 5]

S.D = √(23.2 / 5)

S.D = 2.15

Test value

t = (sample difference − hypothesized difference) / standard error of the difference

t = [(x-x') - (μ- μ')] / (S.D / n — S.D'/n)

t = (12.4-13.6) - (μ-μ')/ (1.02/5 - 2.15/5)

-1.5 = -1.2 - (μ-μ') / -0.226

-1.5 × -0.226 = -1.2 -(μ-μ')

​0.339 = -1.2 - (μ-μ')

(μ-μ') = -1.2 -0.339

μ-μ' = -1.539

Then, μ ≠ μ'

We can calculate our P-value using table.

This is a two-sided test, so the P-value is the combined area in both scores.

The p-value is 0.172

The p value > 0.1

You might be interested in
Show your mastery of multiplying fractions by using the sketchpad to find the product of 3-4 x 37
diamong [38]

Answer:

\frac{111}{4}

or

27 \frac{3}{4}

Step-by-step explanation:

Any regular whole number (37 for example) is over one so it would look like \frac{37}{1}. Multiplying fractions involve just multiplying the numerators and denominators together, therefore it would look like \frac{3}{4}×\frac{37}{1}. Now just multiply the top and bottom numbers together and this will leave you with \frac{111}{4} . But if you'd like to make it into a mixed number (more simplified version of \frac{111}{4} ) then you would get 27 \frac{3}{4}.

8 0
3 years ago
Write two numbers that multiply to the value on top and add to the value on bottom.
Vladimir [108]

Answer:

7 x 6 = 42

7 + 6 = 13

Step-by-step explanation:

Math

8 0
3 years ago
The length of the rectangle is 4cm less than its width . what are the dimensions of the rectangle if its area is 140
melomori [17]
Let the width of the rectangle be x
Then length =x-4
Area=x(x-4)=140
x²-4x=140
x²-4x-140=0
x²-14x+10x-140=0
x(x-14)+10(x-14)=0
(x-14)(x+10)=0
Therefore,length=14 cm and  width=10 cm

8 0
3 years ago
Help please I'm so confused ​
Sergeu [11.5K]

Answer:

169.12

Step-by-step explanation:

I hope this is correct. First, you want to divide the semi-circle and the rectangle. To find the area of the rectangle, you do 16 x 9 to get 144. To find the area of the semi-circle, you do 3.14x16/2 to get 25.12. Then you want to add 144 and 25.12 to get 169.12. I hope this helps

5 0
3 years ago
Help me plz plz help plz!!!!
Andrei [34K]

Answer:

5×3+5×w

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Solve the proportion: A printer can print 11 color pages in 2 minutes. How many color pages can the printer print in 7 minutes?
    5·1 answer
  • One part of a circle is shaded 1/3 and another is shaded 1/2. How much of the circle is shaded? Write your answer as a fraction
    8·1 answer
  • Write the word sentence as an inequality: a number b is at least -3
    11·1 answer
  • What is the answer? 12+(7+m)=30
    15·2 answers
  • A regular octagon has side lengths of 9 units. Each side of the octagon is
    11·1 answer
  • .The equation p = 3f - 50 can be used to represent a shop's profit from Valentine's Day's flower sales, where f represents the n
    12·2 answers
  • Solve for y given that this is a right triangle. Simplify answers completely. No decimals.
    11·1 answer
  • PLS HELP ME WITH THIS
    13·1 answer
  • The amount paid for different weights of oranges at a farmer's market are shown below (A) is the relationship between the price
    6·1 answer
  • What equals -9 + 6 please help me pleassssssse
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!