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

Answers

Answer 1

Answer:

The right answer is "[tex]0.2<\mu d<7.2[/tex]".

Step-by-step explanation:

The given values are:

[tex]\bar{x_0} = 3.7[/tex]

[tex]s_o=4.95[/tex]

[tex]t_{\frac{0.05}{2} }=2.2621[/tex]

As we know,

95% confidence for [tex]\mu_0[/tex] will be:

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

The lower bound will be:

= [tex]3.7-2.2621\times \frac{4.95}{\sqrt{10} }[/tex]

= [tex]0.16\simeq 0.2[/tex]

The upper bound will be:

= [tex]3.7+2.2621\times \frac{4.95}{\sqrt{10} }[/tex]

= [tex]7.23\simeq7.2[/tex]

Thus the right answer is "[tex]0.2<\mu d<7.2[/tex]"


Related Questions

2) Use the law of sines to find the length of SR
sin⁡(A)/a=sin⁡(B)/b=sin⁡(C)/c

Answers

Answer:

take 28 degree as reference angle

using sine angle

sin28=p/h

0.46=10/h

0.46h=10

h=10/0.46

h=21.73

therefore hypotenuse =21.73

again using sine rule

take 25 degree as reference angle

sin 25=p/h

0.42=SR/21.73

0.42*21.73=SR

9.12=SR

9.1=SR

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!​

Answers

Answer:

second

Step-by-step explanation:

[tex]\frac{2x}{5} +\frac{1x}{5} +\frac{5}{8} -\frac{2}{8} = \frac{3x}{5} +\frac{3}{8}[/tex]

Answer:

3/5 x + 3/8

remove parentheses:

2/5x + 5/8 + 1/5x - 1/4

simplify terms:

3/5x + 5/8 - 1/4

make 1/4 have a common denominator to 15/8 by multiplying 2/2.

3/5x + 5-2/8 =

3/5x + 3/8

Can someone help please? 3 |x+1|>5

Answers

Answer:

The Answer as you see

Step-by-step explanation:

Have a good luck with ur Exam

nessaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

1/18

Step-by-step explanation:

[tex]\frac{1}{9}[/tex]÷2

make 2 a fraction

[tex]\frac{1}{9}[/tex]÷[tex]\frac{2}{1}[/tex]

cross multiply

1*1

9*2

[tex]\frac{1*1}{9*2}[/tex]

[tex]\frac{1}{18}[/tex]

Answer:

Step-by-step explanation:

You always invert the second number in a division question and then multiply. This one is a little different. It has three levels. What do you do about that?

[tex]\frac{\frac{1}{9} }{\frac{2}{1} }[/tex]

Now you have a four level question which is handled the same way as all four level question.

Invert the bottom and multiply. Invert means turn upside down. So you turn the 2/1 upside down and you get 1/2

[tex]\frac{1}{9}*\frac{1}{2}[/tex]

What you get is 1/18 The green box with the question mark is a 1.

Please help ;-;im stuck

Answers

Answer:

999

Step-by-step explanation:

223 →  200 + 20 + 3

374 →  300 +  70 + 4

402 → 400 +    0 + 2

          900 + 90 + 9

standard form = 999

The area of Sophie‘s herb garden is 1/8 The area of her vegetable garden. The area of her herb garden is 6 square feet. What is the area of her vegetable garden

Answers

4.8 square feet would be the start of her vegetable garden

Answer:

see below

Step-by-step explanation:   5 25  14 02

herb garden is 1/8 The area of her vegetable garden

herb garden is 6 square feet

vegetable garden = ???

herb garden / vegetable garden  =   1/8      solve for vegetable garden

herb garden × 8  =  vegetable garden

       6 ft² ×  8  =  __________ ft²      

Need help with it I don’t know how to do it

Answers

Dkdnksskmsmsmsmsmsmsmsmsms D)

The school band is ordering customized stickers to support the band. The cost for 100 stickers is $110.00 and the cost for 200 stickers is $185.00 Write an equation to show the total cost of the stickers as a function of the number of stickers ordered.

Answers

Answer:

y = 0.75x + 35

Step-by-step explanation:

y = 0.75x + 35

where: y for cost in $, x for number of stickers ordered

The perimeter of this rectangle is 30 units. How long is the longer side?
a. 24 units
b. 9 units
c. 5 units
d. 6 units​

Answers

Answer:

b. 9 units

Step-by-step explanation:

30/2 -6 = 15-6 = 9

Answer:

9

Step-by-step explain

6+6=12

12+x=30

30-12=18

18/2 =9

Select the correct difference.
-3z^7- (-5z^7)

Answers

2z^7 the first choice
the first choice will the correct answer

A researcher selects a sample and administers a treatment for anxiety to the individuals in the sample. If the sample is used for a hypothesis test, what does the null hypothesis (H0) put forth about the treatment? *

Answers

Answer:

H0 : the treatment has no effect

Step-by-step explanation:

The test is formulated as hypothesis . Here the test ist that whether the treatment has  affected or not . So the null hypothesis can be formulated as

H0 : the treatment has no effect

against the claim

Ha: the treatment has an effect.

The null hypothesis  is the test performed and the alternate hypothesis is the claim against the test. Therefore they are opposite of each other.

What is another way to describe the following expression?
5−(x+y)tothepowerof3

Answers

Another way to answer this question would be(X+y)^3-5

What is 90 inches converted into centimetres?

Answers

Answer:

228.9

Step-by-step explanation:

Answer:

228.6

Step-by-step explanation:

Multiply the inches by 2.54

90 x 2.54 = 228.6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Write the place value of the underlined digit. each answer, 1 point)
(a thousands b. hundreds ctens d. ones e tenths f. hundredths g. thousandths)
9.0631 3place?
32.158 1 place?
28.537 8 place?​

Answers

Answer:

tenths

Step-by-step explanation:

ones

thousanths

Find the area of each figure. Round to the nearest tenth if necessary.

Answers

Answer:

Solution given:

1.

diameter(d)=6mm

base(b)=8mm

height (h)=5mm

Area of figure=area of parallelogram +area of semi circle

base*height+½π(d/2)²8*5+½*π×(6/2)²40+14.1454.4mm²Area :54.14mm²

2.

for triangle

base[b]=6ft

height(h)=9ft

for square

length[l]=9ft

Area of figure=area of square +area of triangle

=l²+½*b*h=9²+½*6*9=81+27=108ft²Area: 108ft²

simply the expression below

Answers

Answer:

A

Step-by-step explanation:

Answer:

D. (w-3)/(w-7)

Step-by-step explanation:

(w+3)(w-3)/(w-7)(w+3)

Hence, removing (w+3),

(w-3)/(w-7)

Feel free to mark this as brainliest :D

Can someone help me

Answers

y=mx+b
They give you the slope - 1/5
y=-1/5x+b
Now plug in the two coordinates of x and y to find b
7=-1/5(-5)+b
7=1+b
b=6
So the answer is y=-1/5x+6

A teacher is comparing the quarter grades between two of her classes. She takes a random sample of 8 students from each class and lists the grades as shown. Find the mean for Class A.
Class A: 80, 83, 74, 91, 76, 87, 93, 72
Class B: 90, 75, 82, 86, 73, 85, 79, 94

Answers

The mean for class A is 82

convert 4/5 into percent​

Answers

the answer is 80% because percentage wise, 100 would be equivalent to 5 so 100divided by 5 would make it 20 every 1, so 20x4 is 80%

For the data set 7, 5, 10, 11, 12, the mean, x, is 9. What is the standard deviation? The formula for the sample standard deviation is s = 2(x-7)? . 1 Use the table to help you. (x - 2)2 1 Sum= Round your answer to the nearest tenth.​

Answers

Answer:

the answer is 2.9

Step-by-step explanation:

.

Select 3 numbers to get the sum of 30, the numbers are 1, 3, 5, 7, 9, 11, 13, 15

Answers

i think there is a trick so the 3 nbs are 9+11+13=33

How's that we need 30

if we flip 9 we get 6

so the answer would be 6+11+13=30

If y is inversely proportional to (tan x) and y = 2
when x = 30°, find the value of y when this value
of x is doubled.​

Answers

Answer:

When something is inversely proportional it can be solved by using the equation:

y = k/x

where k is the constant.

So using this we can plug in x and y to find the value of k.

3 = k/4.

Next we isolate k and find that k = 12. Now we use this to find the value of y when x = 8. Plug in x and you get y = 12/8 or y = 3/2 or 1.5.

Another way to solve this is to look at how the value of x changes. When the value of x goes up, the value of y goes down.

In other words, when x is multiplied by some number, y is divided by that number. In this equation we can see that x is multiplied by 2 to go from 4 to 8.

Thus, y must be divided by 2.

Thus, y = 3/2 or 1.5.

Answer:

Step-by-step explanation:

y is inversely proportional to tan x means  

                                                            [tex]y \ \alpha \ \frac{1}{tan x}\\\\y = k \times \frac{1}{tanx}[/tex]

Given y = 2 when x =30° . So we will find k.

                            [tex]y =k \times \frac{1}{tanx } \\\\2 = k \times \frac{1}{tan 30}\\\\k = 2 \times tan 30 = 2 \times \frac{1}{\sqrt{3}} = \frac{2}{\sqrt{3} }[/tex]

Now x is doubled, x = 60°, find y

                         [tex]y = k \times \frac{1}{tanx}\\[/tex]

                            [tex]= \frac{2}{\sqrt{3}} \times \frac{1}{tan 60}\\\\= \frac{2}{\sqrt{3}} \times \sqrt{3}\\\\=2[/tex]

henry earns 42 $ for babysitting for 7 hours . If henry charges at the same rate, how many hours will it take him to earn 66$?

Answers

Answer:

11 hours

Step-by-step explanation:

11 hours I’m sure Because 42$7ours and 66

solve and explain your reasoning (x+3)=-6​

Answers

Answer:

(x+3)=-6

x=-6-3

x=-9

Step-by-step explanation:

Hope it helps!

When side changes positive changes into negative.

which M.A.D (mean absolute deviation) would show the most variability

a- .5
b- 1.5
c- 1
d- 2

Answers

pretty sure it’s 1??

PLEASE HELP AS SOON AS POSSIBLE

Answers

Answer:

FALSE

TRUE

TRUE

Step-by-step explanation:

For median,

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Source: https://www.verywellmind.com/how-to-identify-and-calculate-the-mean-median-or-mode-2795785

So for April median: 2.5, 3, 3.5, 3.5 (since we have 4 numbers we divide by 2 and we count by 2 places from left. Since we have even number data, we average 3 with the next higher position to get the median so (3+3.5)/2 = 3.25

For May apply same concept and you get median to be 2.25.

Median difference is 3.25-2.25 = 1

Therefore, statement 1 is false and statement 2 is true.

For average in May, add all numbers and divide by the number of data points so May= (2.5+3+3.5+3.5)/ 4 = 3.13

Apply same concept you for April and you get 2.38 as mean.

Mean difference is 3.13-2.38 = 0.75

Therefore, statement 3 is correct (true)

Can someone help me with this? Please and thank you!

Answers

Answer:

She should find the squares between 4.2 and 4.3

Step-by-step explanation:

The square of 4.2 was too low and the square for 4.3 was too high so the answer is between the two.

Find the surface area of the triangular prism

Answers

Answer:

96 i think

Step-by-step explanation:

Answer:

96 I think

Step-by-step explanation:

Which equation is part of the same family as 5×4 = 20

Answers

Answer:

4x5=20

20 divided by 5 = 4

Step-by-step explanation:

Answer:

20 ÷ 4  = 5 and 20 ÷ 5  = 4 also 4 x 5  = 20

Step-by-step explanation:

FOR 100 POINTS!!!! BRAINLIEST TOO PLEASE HELP!!!!
Estimate an equation for the line of best fit for the following scatter plot. Pic below. Open ended.

Answers

Answer:

y = 8.667x + 8

Step-by-step explanation:

Use two points on the graph to get an equation:

(0, 8), (6, 60)

The slope: m = (60 - 8)/6 = 8.667

The y- intercept is 8

The equation of the line of best fit:

y = 8.667x + 8

The answer to your question is y = 8.667x + 8. Hope this helps; have a great day!

Other Questions
PLEASE HELP WITH GEOMETRY!! hey! please help ill give brainliest I need answer Immediately pls!!!!!!! Chloe divides an hour of revision up between maths and english in the ratio 3:2. how much does she spend revising maths? What is a certificate of deposit (CD)?A. A savings product with a guaranteed rate of interest and a maturity date. B. Written document that proves ownership in a company or a small business. C. A receipt for buying a mutual fund. D. A bond with yearly dividends. Solve the expression for a=12 , b=6 and c=3 4. A room has 20 seats - some are stools and some are chairs. Each stool has 3 legs and each chair has 4 legs.Altogether there are 68 legs.How manystools are there? Please help?!?!Thanjss The first surprising thing in this chapter is?Chapter 8 of The Wind Master Running the Disk Cleanup utility is a quick way to ________. Group of answer choices defrag your hard drive remove spyware programs clear out temporary Internet files uninstall unwanted apps I got a question in computer science I don't understand, can someone please help. question in image attached Bahadur shah is taken as the capable son of capable father why A 73-year-old woman is admitted to the hos- pital for intravenous treatment of an abscess caused by Staphylococcus aureus. Subsequent to her treatment and discharge from the hos- pital, it is necessary to disinfect the hospital room. One thousand of the S aureus cells are exposed to a disinfectant. After 10 minutes, 90% of the cells are killed. How many cells re- main viable after 20 minutes? Can someone please tell me the answer and explain how to do this, no links please thank you PLEASE HELP QUICK.HELP. PLEASE EXPLAIN HOW TO FIND ANSWER ASWELL Which claim is most effective for an argumentative essay about the Columbian Exchange?The Columbian Exchange involved bringing goods to and from two different continents.The Columbian Exchange involved the exchange of foods, diseases, livestock, and ideas.The Columbian Exchange was harmful to indigenous peoples because it resulted in disease and death.The Columbian Exchange is a sad event in history that affected indigenous peoples and should be studied. You need to build out the networking for your small local business. You have purchased a core switch and will pull home runs to each of the devices. What type of cabling will you use to connect your network Identify at least three tips you would give to people to stay safe on the Internet so that their information stays secure. Explain why these tips are useful. A potential complication for successful price discrimination is a. multiple demand elasticities among consumers. b. the presence of a price maker in a market full of price takers. c. a product or service for which consumers value differently. d. other industry firms also practicing price discrimination. e. the potential for consumers to resell a product or service.