Answer:
See step by step explanation
Step-by-step explanation:
From the problem statement, we understand that we need to investigate if 2nd graders RETAIN OR LOSE knowledge comparing information concerning two different months, therefore we are going to find out if the information gives us enough evidence of a difference in the two groups
a) The test should be a two tail-test
Sample sizes are small ( n₁ = n₂ = 9 ) which means we have to use t-student test
b and c) Test Hypothesis:
For Null Hypothesis H₀, we establish that the two means are equal, which in this case means that the two samples´ means are equal. And as Hypothesis alternative Hₐ that the H₀ is not true, or that the samples mean are different.
Null Hypothesis H₀ x₁ - x₂ = 0 or x₁ = x₂
Alternative Hypothesis Hₐ x₁ - x₂ ≠ 0 or x₁ ≠ x₂
d) Significance level α = 0,05 then α/2 = 0,025
then t(c) with α/2 = 0,025 and degree of freedom
df = n₁ + n₂ - 2 df = 9 + 9 -2 df = 16
From t s-tudent table we find t(c) = 2,12
e) Calculating:
x₁ and σ₁
x₂ and σ₂
σₓ = [ ( n₁ - 1 )* σ₁² + ( n₂ - 1 )*σ₂² ]/ n₁ + n₂ - 2
Using a calculator:
x₁ = 77,11 σ₁ = 13,86
x₂ = 85,89 σ₂ = 12,74
σₓ = [ ( 8*(13,86)² + 8*( 12,74 )² ] / 16
σₓ = (8* 192,1) + 8* ( 162,31) / 16
σₓ = (1536,8 + 1298,48 ) / 16
σₓ = 177,205
t(s) = ( x₁ - x₂ ) /√ σₓ²/ n₁ + σₓ²/ n₂
t(s) = ( 77,11 - 85,89 )/ (177,205)²/n₁ + (177,205)²/n₂
t(s) = - 8,78 / √3489,07 + 3489,07
t(s) = -8,78 / 83,54
t(s) = - 0,11
Comparing t(s) and t(c)
|t(s)| < |t(c)|
0,11 < 2,12
t(s) is in the acceptance region. We accept H₀
A small university is concerned with monitoring its electricity usage in its Student Center. Specifically, its officials want to know if the amount of electricity used differs by day of the week. They collected data for nearly a year, and the relevant summary statistics are provided. Note that electricity usage is measured in kilowatt hours. Day of Week n x bar s Sunday 45 86.48 34.89 Monday 45 109.29 27.37 Tuesday 45 110.96 28.64 Wednesday 44 115.03 31.68 Thursday 44 114.97 33.26 Friday 45 108.58 32.22 Saturday 45 87.07 38.56 Overall 313 104.56 34.25 Computer output from the analysis is provided: One-way ANOVA: Electricity versus Day of Week Source DF SS MS F P Day of Week 6 41646 6941 6.55 0.000 Error 306 324428 1060 Total 312 366073 What is the decision on the hypothesis test and why
Answer:
Since p-value > ∝, H0 is accepted
Step-by-step explanation:
Calculating gives the following results.
ANOVA Table
Source DF Sum Mean F Statistic P-value
of Square Square
Groups 6 191.61 31.935 0.020 0.999
(b/w groups)
Error
(within 14 21736.08 1552.577
groups)
Total 20 21927.69 1096.385
1. H0 hypothesis
Since p-value > ∝, H0 is accepted.
Hence the averages of all groups considered to be equal.
Or the difference between the averages of all groups is not big enough to reject H0.
2. P-value
P-value equals 0.999. This means that if we would reject H0, the chance of type1 error (rejecting a correct H0) would be too high i.e (99.99%)
The bigger p-value supports H0.
3. The statistics
The test statistic F equals 0.020, which lies in the accepted range: [-∞ : 2.8477]
Write the anwser in the simplest form.
Answer:
6/9
Step-by-step explanation:
really sorry if I'm wrong good luck!
A 3 foot wide painting should be centered on 13 foot wide wall how many feet should be on each side of the painting
Answer:
5 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 3 foot wide painting should be centered on 13 foot wide wall, to determine how many feet should be on each side of the painting, the following calculations must be performed:
(13 - 3) / 2 = X
10/2 = X
5 = X
Therefore, 5 feet of wall should be on each side of the painting.
What is the following simplified product? Assume x>0.
218x3 3.V10x4 – x15x?
0 244² √5% - 44² √10x
24x35x - 4x3 10X
24x3 75-4x310x
O 24x35x +4x® /10x
Answer:
[tex]24x ^{3} \sqrt{5 - 4x ^{3} } \sqrt{10x} [/tex]
The median number of parks cleaned by 101010 service workers in a certain year is 444. The range of the number of parks cleaned by those service workers that year is 777.
Determine if the following statement is true, is false, or does not contain enough information.
If the greatest number of parks cleaned is 101010, then the fewest parks cleaned is 333.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
True
(Choice B)
B
False
(Choice C)
C
Not enough informationvv
Answer:
The answer is A
Step-by-step explanation:
I got it wrong and it showed that it’s A
Help me fellow idiots (jk)
Answer:
[tex] \frac{4}{5} [/tex]
Find the indicated limit, if it exists.
See file below.
Answer:
c
Step-by-step explanation:
The limit exists because it's continuous since they equal each other
when x approaches zero.
Substitute both expressions with x=0 and both of them will equal 2, so the limit should be 2.
Find an expression which represents the sum of (8x+10y)
Answer:
Not sure of what your asking....
Step-by-step explanation:
equivalent to: 2(4x+5y)
Answer:
2(4x+5y)
Step-by-step explanation:
the sum of 8x+10y is 8x+10y
i guess you could make it even more complicated if you want
ln(8x)=ln(1/(10y))
ln(8x/(1/(10y)))
or you can just keep it simple
8x+10y = 2(4x+5y)
Help me please whats 93 divided by 29 to the power of 3 and multiplied by 283
Answer:
1.07913403584
Step-by-step explanation:
hope it helps you!!
branliest plssssss
Answer:
641,894,091
Step-by-step explanation:
One-third of 1/2 cake =_____ cake.
Answer:
1/6
Step-by-step explanation:
1/3 x 1/2 = 1/6
Solve
FIND THE SIMPLE INTEREST WHEN PRINCIPAL= $300, rate = 8%
Time= 4 years
WILL GIVE BRAINLIST
X
X
X
X
X
X
X
X
X
X
X
Answer:
I = p× r× t
300×8×4
pinicipal × rate × time
That is the formula
the answer is 300×8×4= 9600
look at the picture above
Answer:
12
Step-by-step explanation:
Area of a triangle = [tex]A=\frac{bh}{2}[/tex]
Where b = base and h = height
The shown triangle has a base length of 3 cm and a height of 8 cm
Using these dimensions we plug in the values into the formula
[tex]A=\frac{3*8}{2} \\3*8=24\\\frac{24}{2} =12\\A=12[/tex]
Hence, the area of the triangle is 12 square centimeters
Answer:
12 centimeters^2
Step-by-step explanation:
We find the area of a triangle by multiplying the base and width of the triangle before dividing by 2
Why because if u put 2 triangles together you get a rectangle
3*8=24
24/2=12
Write the power (-8)^2 in repeated multiplication form. Then find the value of the power
Answer:
(-8)x(-8)=64
Step-by-step explanation:
(-8)²
(-8)x(-8)=64
The repeated multiplication of (-8)² is -8 x (-8).
What are Exponent and Power?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as 34, where 4 is the exponent and 3 is the base.
We know that exponents and power used to express powers.
like if we have 5³ then 5 is multiplied to itself 3 times.
Here we have (-8)² then we can write
(-8)²
= -8 x -8
= 8 x 8
= 64.
Learn more about Exponent and power here:
https://brainly.com/question/15722035
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Which of the a-values satisfy the following inequality?
7 + a < 11
Choose all answers that apply:
A: a=3
B: a=4
C: a=5
Answer:
A = 3
I hope it's helps you
26) Which of these equations is parallel to -3x - y = 1?
A) y
12 x – 5
3
B) y = 3x + 4
C) y
= -3x
1
D) y = x + 1
Answer:
y=-3x
Step-by-step explanation:
use the point slope formula to find the line parallel to -3x-y=1
Answer:
B) y = 3x+4
Step-by-step explanation:
A parallel line should include the same the same slope for it to be parallel
Raincoats regularly priced at $24 were on sale for 33% off.
a. What is 33% of $24?
b. What is 33 % less than $24?
Some students reported how many pets they had. The dot plot shows the data collected: A dot plot is titled Students Pets and labeled Number of Pets. The values on the horizontal line are 0, 1, 2, 3, and 4. There are 5 dots above 0, 4 dots above 1, 3 dots above 2, 2 dot above 3, and 1 dot above 4. What do the dots above the number 3 indicate? There are exactly 2 students with 3 pets. There are exactly 3 students with 2 pets. There are exactly 2 students with more than 3 pets. There are exactly 3 students with more than 2 pets.
Answer:
A dot plot is similar to histogram wherein they show the frequency of data. In this kind of plot, instead of bars, dots are stacked on their corresponding bin. The bins here are the number of pets, while the dots are the students. So, the 2 dots above number 3 signifies that, there are two students with three pets. The answer is A.
Step-by-step explanation:
If f (x ) = -4x – 11, what is f (5)?
Answer:
-31
Step-by-step explanation:
We are given with a function f(x) = - 4x - 11 , and we need to find f(5) . For which , we just have to put x = 5 in f(x) . So , by putting x = 5 , we have
[tex]{:\implies \quad \sf f(5)=-(4\times 5)-11}[/tex]
[tex]{:\implies \quad \sf f(5)=-20-11}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{f(5)=-31}}}[/tex]
Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping.
• 2/3 of the caramel apples are covered with peanuts.
• 1/5 are covered with chocolate chips.
• 1/10 are covered with coconuts.
How many caramel apples are covered with sprinkles?
5
Step-by-step explanation:
add the fractions. you have to find the common denominator, 100/150+30/150+15/150= 145 so 5
1/30 of 150=5
The caramel apples that are covered with sprinkles are 5.
What is arithmetic operation?Arithmetic operation is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.
Now it is given that,
Olivia has 150 caramel apples.
Each caramel apple is covered with one topping.
• 2/3 of the caramel apples are covered with peanuts.
• 1/5 are covered with chocolate chips.
• 1/10 are covered with coconuts.
The rest are covered with sprinkles.
Let 'n' be the number of caramel apples are covered with sprinkles.
Thus,we can write
(2/3)*150 + (1/5)*150 + (1/10)*150 + n = 150
100 + 30 + 15 + n = 150
145 + n = 150
⇒ n = 150 - 145
⇒ n = 5
Thus, the caramel apples that are covered with sprinkles are 5.
To learn more about arithmetic operation :
https://brainly.com/question/13585407
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The complete question is,
Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping.
• 2/3 of the caramel apples are covered with peanuts.
• 1/5 are covered with chocolate chips.
• 1/10 are covered with coconuts.
The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
Can someone please help me on this I’ll give brainliest
Answer
b
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
whole numbers are higher than 10, nutural numbers are like 1 2 3 4 5 while integers are like fractions
SOLVE
HOW MUCH
COMISSION
WILL AN AGGENT
MAKE ON THE SALE OF A $111,500 HOUSE IF SHE RECEIVES 1.5% OF THE SELLING PRICE
WILL
GIVE
BRIANLIST
Answer:
$1672.5
Step-by-step explanation:
find the value of x and the value of y ?
Answer:
B) x = 7, y = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
you can find the value of 'y' first by connecting the bases with another altitute measuring 4 units
you now have an isosceles triangle where each leg is 4 which makes the hypotenuse equal to 4[tex]\sqrt{2}[/tex]
to find 'x', it is the sum of 3 and 4
Julie can type 250words in 5 minutes. How long does she take to type 900words
Answer:
18 minutes
Step-by-step explanation:
900/250 is 3.6
3.6 * 5 = 18
Answer:
18 minutes
Step-by-step explanation:
Hi! Okay, let's get started!
Let's find her rate per minute first = 250/50 = 50 words per minute
Now, we need to find the time for 900 words, so we do 900/50, which gives you 18, or 18 minutes!
Hope that helps! :)
Round to the nearest tenth if necessary.
There were 24 students in Mrs. Weibel’s class last year and now she has 27 students. What is the percent increase in students from last year to this year? Express your answer to the nearest tenth.
Answer:
12.5%
Step-by-step explanation:
change/original amount * 100= percentage change
3/24 * 100 = 12.5
to find the sum of all the odd integers from to 49 inclurive
Answer:
625 is the sum of first 49 odd numbers.
Step-by-step explanation:
Add the all odd numbers between 1 - 49.
1+3+5+7+9+11+ 13+ 15+17+ 19+21+23+25+ 27+29+31+33+35+37+39+41+43+45+ 47+ 49 = 625
Hope it is helpful....A tent that sells for 250 is on sails for 20% discount what's the sale price of the tent
Step-by-step explanation:
Original price- $250
Discount 20% x 20
-----------
5000
Equals amount taken off $5000
Subtract original price -250
---------------
Sale Price 4750
Hope this helps! If this is not the answer please tell me!
The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals who are in marketing. Three groups are considered: management, research and advertising (higher scores indicate higher ethical values).
Marketing Managers 8 7 6 7 8 6
Marketing Research 10 10 9 9 10 9
Advertising 5 6 5 4 5 5
1. Compute the values identified below (to 1 decimal, if necessary).
a. Sum of Squares, Treatment?
b. Sum of Squares, Error?
c. Mean Squares, Treatment?
d. Mean Squares, Error?
2. Use Alpha= .05 to test for a significant difference in perception among the three groups.
3. Calculate the value of the test statistic (to 2 decimals)?
4. The p-value is?
5. What is your conclusion?
6. Using Alpha= .05, determine where differences between the mean perception scores occur.
7. Calculate Fisher's LSD value (to 2 decimals)?
8. Test whether there is a significant difference between the means for:________.
marketing managers (1),
marketing research specialists (2),
and advertising specialists (3).
Difference Absolute Value Conclusion for (1)-(2)?
Difference Absolute Value Conclusion for (1)-(3)?
Difference Absolute Value Conclusion for (2)-(3)?
Answer:
Part 1
a. Sum of Squares, Treatment= 61
b. Sum of Squares, Error= 7.5
c. Mean Squares, Treatment = 30.5
d. Mean Squares, Error= 0.5
2. the F value lies in the rejection region > 3.6823
3. The value of the test statistic = 61
4. The p-value is < 0.00001
5. Conclusion
Since p-value < α, H0 is rejected.
6. Between x`2 and x`3
7. Fisher's Least Significant Difference value almost 0.869
8.There is a significant difference between the means
Step-by-step explanation:
Summary of Data
Treatments
1 2 3 Total
n 6 6 6 18
∑x 42 57 30 129
Mean 7 9.5 5 7.167
∑x2 298 543 152 993
Sd.D 0.8944 0.5477 0.6325 2.0073
ANOVA Table
Source SS df MS
Between-treatments 61 2 30.5 F = 61
Error 7.5 15 0.5
Total 6 8.5 17
a. Sum of Squares, Treatment= 61
b. Sum of Squares, Error= 7.5
c. Mean Squares, Treatment = 30.5
d. Mean Squares, Error= 0.5
2. Using alpha= 0.05 the F value lies in the rejection region i.e F > 3.6823
x1` -x2`= 7-9.5= -2.5 Not significant as difference <3.68
x1`- x3`= 7-5= 2 Not significant as difference <3.68
x2` -x3`= 9.5-5= 4.5 Significant as difference > 3.68
3. The value of the F test statistic = 61
4. The p-value is < 0.00001
5. Conclusion
Since p-value < α, H0 is rejected.
6. Using alpha= .05, differences occurs between x2` and x3` as their difference is greater than 3.68
7. Fisher's Least Significant Difference value almost 0.869
Least Significant Difference= t( 0.025,15) √2s²/r s²= 0.50 r= 6 =n1=n2=n3
Least Significant Difference= 2.13 √ 2*0.50/ 6
=0.869
8.There is a significant difference between the means
x1` -x2`= 7-9.5= -2.5 Significant as difference > Least Significant Difference
x1`- x3`= 7-5= 2 Significant as difference > Least Significant Difference
x2` -x3`= 9.5-5= 4.5 Significant as difference > Least Significant Difference
what is the distance of the points (-7,-4) and (-2,-4)
Answer:
Step-by-step explanation:
The formula for calculating the distance between two points is:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substituting the values from the points in the problem gives:
d
=
√
(
4
−
−
4
)
2
+
(
17
−
2
)
2
d
=
√
(
4
+
4
)
2
+
(
17
−
2
)
2
d
=
√
8
2
+
15
2
d
=
√
64
+
225
d
=
√
289
d
=
17
Amy goes to a pumpkin patch and picks out a pumpkin that weighs 3,550 grams. If 1 gram = 0.0352 ounces, how many ounces does the pumpkin weigh?
A) 124.56 ounces
B) 124.96 ounces
C) 125.56 ounces
D) 125.96 ounces
9514 1404 393
Answer:
B) 124.96 ounces
Step-by-step explanation:
To find ounces, multiply the number of grams by the number of ounces in each gram.
3550 × 0.0352 = 124.96 . . . ounces