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lys-0071 [83]
3 years ago
10

A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The

results are given below. Construct a​ 95% confidence interval for the mean difference between the before and after scores. Is there evidence to suggest the logic course improves abstract reasoning? You may assume that the differences for the dependent samples are normally distributed.
Before 74, 83, 75, 88, 84, 63, 93, 84, 91, 77
After 73, 77, 70, 77, 74, 67, 95, 83, 84, 75
Note : define d = before - after, then đ = 3.7 and s = 4.95
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0

Answer:

The right answer is "0.2".

Step-by-step explanation:

The given values are:

\bar{x_0} = 3.7

s_o=4.95

t_{\frac{0.05}{2} }=2.2621

As we know,

95% confidence for \mu_0 will be:

= \bar{x_0} \pm t_{\frac{0.05}{2} },n-1\times \frac{s_o}{\sqrt{n} }

The lower bound will be:

= 3.7-2.2621\times \frac{4.95}{\sqrt{10} }

= 0.16\simeq 0.2

The upper bound will be:

= 3.7+2.2621\times \frac{4.95}{\sqrt{10} }

= 7.23\simeq7.2

Thus the right answer is "0.2"

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sukhopar [10]

Answer:

<u>8/3 or 2 2/3 gallons of paint</u>

Step-by-step explanation:

If 2/3 of paint covers 1/4 of the wall, you must multiply 2/3 by 4 to get 4/4 (the whole wall).

2/3 x 4 = 8/3 or 2 2/3

5 0
2 years ago
Which combination of shapes can be used to create the 3-D figure?
liq [111]

Two regular octagons and eight congruent rectangles are perfect for the creation of 3-D figures.

According to the statement

we have to tell and explain about the types of shapes which are required for the creations of 3-D figure.

For this purpose, Firstly we have to know about the 3-D figures.

So,

A shape is a graphical representation of an object or its external boundary and outline, as opposed to other properties such as color, texture, or material type.

A plane shape is constrained to lie on a plane, in contrast to solid 3-D shapes.

After that we know that the

When the all dimensions of a given shape can be observed at the same time, then its is said to be in a 3-D. However, polygons are shapes which has 3 or mores sides. Examples are: trigon, hexagon, octagon etc.

Thus, since the in the 3-D figure have 8 sides connected which is greater than their width.

This confirms that the sides of the figure made up of eight congruent rectangles, because the 3-D figure has eight regular sides. Then, the height of the figure would be the length of the rectangles.

After that all this condition, Two regular octagons and eight congruent rectangles are perfect for the creation of 3-D figures.

Learn more about creation of 3-D figures here

brainly.com/question/326906

#SPJ1

8 0
1 year ago
For what values of c does the binomial 5-3c take on a value which is greater than 80?
Ganezh [65]
Answer: c > -25

From the question you can get the equation:
5 - 3c > 80; subtract 5 from both side
-3c > 75; divide -3 from both side
c > -25
So numbers including: -24, -23, -22, -21…
are all numbers that could work
7 0
2 years ago
Will give brainlist plz help its for my 9 week exam<br><br> a. 228<br> b. 229<br> c. 172<br> d. 171
natka813 [3]

Answer:

I think its 229

if you take how many yellow marbles he got out of 7 it would be 3/7 and then I divided 400 by 7 and got 57. something so I multiplied 3 times 57 and got 171. So if you take 400-171 you get 229

4 0
3 years ago
I need helpp please
IrinaK [193]

Answer:

Total is $138.75 which is answer D

Step-by-step explanation:

15*3.5= $52.50

15*5.75= $86.25

Total is $138.75

3 0
3 years ago
Read 2 more answers
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