After taking your Freshman English class, you notice there is quite a difference between the students in the classes related to your Business major and your general education requirements. You believe it comes down to a difference in verbal and math abilities. You are interested in seeing how your English classmates performed on two parts of the SAT. You randomly collect data from 28 students on their Math SAT score (population
1), and randomly select another 25 students and collect data on their Verbal SAT score (population
2). After entering the data into Excel you obtain the following output: t-Test: Two-Sample Assuming Unequal Variances Q=0.05 Math SAT Verbal SAT Mean 668. 7604 701.888 Variance 3826.406 6944.827 Observations 28 25 Hypothesized Mean Difference 0 df 44 t Stat P(T<=t) one-tail t Critical one-tail 1.68 P(T<=t) two-tail t Critical two-tail 2.01 What is the value of the test statistic to test if math and verbal scores differ in the SAT exam?
a. -1.479
b. There is not enough information to answer this question
C. -1.627
d. 30.116
e. 30.116
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The sample size for Math SAT is [tex]n_1 = 28[/tex]
The sample size for Verbal SAT is [tex]n_2 = 25[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\mu_1 - \mu_2}{ \sqrt{\frac{\sigma^2_1 }{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]
substituting 668. 7604 for [tex] \mu_1[/tex] , 701.888 for [tex] \mu_2[/tex], 3826.406 for [tex] \sigma_1^2[/tex] , 6944.827 for [tex]\sigma_2^2[/tex]
So
[tex]t = \frac{668.7604 - 701.888}{ \sqrt{\frac{3826.406}{28} + \frac{6944.827}{25} } }[/tex]
=> [tex]t = 1.627[/tex]
Related Questions
Simplify (3a3 – 7a2 + a) – (6a3 – 4a2 – 8).
a. -3a6 – 3a4 + a +8 b. -3a6 – 11a4 +a -8
c. -3a3 – 11a+a -8 d. -3a3 – 3a² + a +8
Answers
Answer:
d. -3a3 – 3a² + a +8
Step-by-step explanation:
Simplify the expression.
Solve for h in the literal equationg g ( h +3/2)=7
Answers
Answer: 40/2=3
Step-by-step explanation:
Explanation..
X is less than 7 and greater than -7
Answers
Answer:
False
Step-by-step explanation:
& is greater that 7 because you are going back to the nmber like in the negatives
Please HELP ASAP!! Fill in the blank:
If two angles of one triangle are equal in measure to two angles of another triangle then the remaining two angles _________
Answers
Answer:
are equal to each other by Triangle Sum Theorem.
Step-by-step explanation:
Answer:
are equal to each other.
Step-by-step explanation:
This happens because the inside angles of a triangle always add up to 180º no matter what type of triangle it is. So if two triangles have two equal measurements then the third will also be equal. This is according to the Triangle Sum Theorem.
What is the image of (3, 6) when it is translated along the horizontal vector -2,0?
Answers
Answer: (1,6)
The vector <-2,0> means we shift the input point two units to the left.
This is the same as writing the rule [tex](x,y) \to (x-2,y)[/tex]
Subtract 2 from the x coordinate. The y coordinate stays the same.
After the translation the point becomes P'(1, 6).
What is the difference between upward, downward, leftwards and rightwards translation?Upward translation : [k] units = When the upward translation take's place then, each point will have its y - coordinate shifted upwards by +k units.Downward translation : [k] units = When the downward translation will take place then, each point will have its y - coordinate shifted downwards by -k units.Leftward Translation : [k] units = When the leftward translation will take place then, each point will have its x - coordinate shifted by -k units to the left.Rightward Translation : [k] units = When the rightward translation will take place then, each point will have its x - coordinate shifted by +k units to the rightGiven is a coordinate point (3, 6).
The horizontal vector is given by -
A = - 2i + 0j + 0k
A = - 2j
When the point is translated along the vector, then, we can write -
P(3, 6) → P'(3 - 2, 6) → P'(1, 6)
P'(1, 6)
Therefore, after the translation the point becomes P'(1, 6).
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Which of the following expressions are equivalent to -x/y
Answers
Answer:
-z/e
Step-by-step explanation:
-x/y = -z/e
1/2 x + 4 = 15
x = 22
x= 38
x = 5.5
x = -22
Answers
Answer:
x=22
Step-by-step explanation:
To find the x value, you need to use reverse PEMDAS (or GEMDAS as I've seen some people call it)
First, you subtract 4 from both sides of the equation. This should give you:
1/2x=11
Then, you divide 1/2 on each side. Although it's easier to multiply 2 on each side instead. This will give you.
x=22
Hope this helps
WILL GIVE BRAINLIST SO PLZ HELP
At midnight, the temperature was . At noon, the temperature was . Which expression represents the increase in temperature?
A. - 8 - 23
B. | - 8 | - 23
C. - 8 - | 23 |
D. | - 8 - 23 |
Answers
Hello!
D Would be your answer! Because At Midnight, the temperature was -8*f. At noon, 23*F, so
|-8-23| |-3||= 31 There you go! May I have Brainliest?
f(x)=x^2+6x+8 in factored form
Answers
Answer:
Step-by-step explanation:
The quadratic factors into (x + 4)(x + 2) When you remove the brackets, you get
x^2
2x
4x
8
They are all added and the 2x and 4x combine to get 6x.
Answer:
F (x) = x^2 + 6x+8 = F = x + 6 + [tex]\frac{8}{x}[/tex]
Step-by-step explanation:
Move all the expressions to the left side of the equation.
F(x)−x2−6x−8=0
Multiply F by x.
Fx−x2−6x−8=0
Move all terms not containing F to the right side of the equation.
Fx=x2+6x+8
Divide each term by x and simplify.
F = x + 6 + [tex]\frac{8}{x}[/tex]
I hope this helps.
There are 16 squares and 4 circles. What is the simplest ratio of circles to squares?
Answers
16:4 is your starting ratio. Start by finding your GCF, which for this set, is 4.
Divide both sides by 4.
This gives you 4:1 (4 squares to 1 circle)
Hope this helps!
the simplest ratio of the Squares to the circle is 4:1.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, There are 16 squares and 4 circles.
Since there are 16 squares for 4 circles
The ratio of the Squares to the circle = 16/4
The ratio of the Squares to the circle = 4/1
Therefore, the simplest ratio of the Squares to the circle is 4:1.
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The steps below show the work of a student used to calculate the number of yards in 804.5 meters.
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
Step 1: 1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles
Step 2: 2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards
Step 3: 3,520 yards
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
How can the error in the student's work be corrected? NEEDS SUBMITTING TODAY PLZ HELP ASAP
Answers
Answer:
see below
Step-by-step explanation:
804.5 meters. to yards
Step 1:
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles
1,609 meter x 1 mile = 2 miles
804.5 meters
Step 2:
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards
2 miles x 1,760 yards = 3,520 yards
1 mile
no need of step 3. the conversion below should be on step 2.
to convert miles into yards.
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
Answer:
how do ppl do this lol...
Step-by-step explanation:
place value of 30,542
Answers
Answer: ten-thousand
Not completely sure if this is what you're asking for... If not, explain better pls!
A work shift for an employee at a restaurant consists of 12 hours what fraction of the employees work shift is represented by 8 hours
Answers
Answer
b
Step-by-step explanation:
what is the fifteenth term in the sequence 12, 24, 36, 48, 60,...? A72 B76 C96 D180
Answers
Answer:
D)180
you go 12+ so the nth term is 12n, then substitute the n with the term you're looking for, in this case it is 15: 12(15) = 180
Answer:
180
Explanation:
Simplify.
2 ( to the power of 3)+4⋅8
40
80
96
160
Answers
Answer:
2 to the power of 3 is 8 so
8 + 4.8 = 12.8
Step-by-step explanation:
1) simplify 2^3 to 8
8+4•8
2) simplify 4•8 to 32
8+32
3) simplify
40
helpp mee i’ll give you 20 points for it
Answers
Answer: Part A: Noah eats 10/8's. Or 1 and 2/8's if you have to simplify.
Part B: Draw the circles and cut them into 8 slices and color in two of each.
Part C: So if Jessica ate half of what Noah eats, she only ate 5/8's of pizza.
Part D: Noah and Jessica together ate 15/8's of pizza or if you want to simplify, 1 and 7/8's of pizza. There is 25/8's of pizza left, or 25 pieces left. And the remaining friends ate 1/5 of the remaining pizza which was 25 pieces. So, they ate 5 pieces. So they ate 5/8's of the remaining pizza.
Step-by-step explanation:
I think this might be your answer. Double check to make sure i am not wrong.
Multiply.
338⋅413
718
1218
1438
1458
Answers
The value of the product calculated by multiplication is 139594 .
A product is the result of multiplication or an expression that lists the factors to be multiplied.
According to the commutative law of multiplication, the outcome is unaffected by whether real or complex numbers are multiplied in a particular order.Usually, the order of the factors determines the outcome of a multiplication of matrices or the constituents of other associative algebras.For instance, multiplication in general and in matrices are non-commutative operations in other algebras.The product of multiplication of two complex numbers can also be a complex number.When two integers are multiplied we always get an integer .The given numbers are 338 and 413.
∴338 × 413 = 139594
Hence after multiplying the numbers we get 139594.
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Answer:
14 5/8
to help others know the answer make sure to correct copy and paste and put a slash forward were they are shown in the question on your quiz and can you give brainiest?
number of non perfect square numbers lie between the squares of 17 and 18 is
Answers
I am sorry if the answer is wrong
deandre finished a race in 6 minutes. how many seconds is this?
Answers
Answer:
360 seconds. 60 seconds in a minute multiplied by 6
Step-by-step explanation:
the difference of a number and 10 is at least 5 more than 9 times the number
Answers
Answer:
x-10 ≥ 9x+5
x ≥ 9x+15
-8x ≥ 15
x ≤ 15/-8
Which property of addition is shown in the equation below?Which property of addition is shown in the equation below? a + bi + 0 + 0i = a + bi commutative property inverse property identity property associative property
Answers
Answer:
C. Identity Property
Step-by-step explanation:
edge2020
Have a great day y'all :)
The equation [ a + bi + 0 + 0i = a + bi ] is identity property. Then option C is correct.
What is identity property?For addition, 0 serves as the identification element. The initial number is obtained by adding any number to 0. Example ( a+0=a). 1 serves as the identity element in multiplication. The result of multiplying any number by 1 is the original number.
The expression is,
a+ bi + 0+0i = a+bi
In the above number a+bi, another zero complex number 0 + 0i is added the result is the same as before. Hence, it is identity property.
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4. What is an equation of the line that passes through the point (3.-1) and has a slope of 2? 1) y = 2x + 5 3) y = 2x - 4 2) y = 2x-1 4) y = 2x - 7
Answers
Answer:
it's 4
Step-by-step explanation:
y - y1= m(x- x1)
y- (-1)= 2(x - 3)
y+ 1= 2x- 6
y= 2x - 7
The sum of 6 consecutive odd numbers is 204. What is the fourth number in this sequence?
Answers
Answer:
35
Step-by-step explanation:
1. Set up a equation.
2. X is the first, so the ones after x are x+2, x+4, x+6, x+8, and x+10.
3. That means that x+x+2+x+4+x+6+x+8+x+10=204.
4. Simplify. You would get that 6x+30=204.
5. Solve for x. 6x=174, so x=29.
6. Get the fourth number in the sequence. 29+6=35.
Answer: The fourth number in this sequence is 35.
Work out this problem: 2x + 3x -12x Show you work
Answers
Answer:
-7x
Step-by-step explanation:
2x + 3x - 12x
Add 2x + 3x, resulting in 5x
5x - 12x = -7x
It's negative because the -12 is the bigger number.
Hope this helps :D
Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much?
Richard’s Distance Past the Start Line
Time (minutes)
5
10
15
20
25
Distance (kilometers)
2.8
3.4
4.0
4.6
5.2
A graph titled Gloria's Distance Past the Start Line has time (minutes) on the x-axis and Distance (kilometers) on the y-axis. A line goes through points (5, 0.8), (10, 1.6), (15, 2.4), (20, 3.2) and (25, 4).
Gloria’s time was 0.5 minutes faster.
Richard’s time was 0.5 minutes faster.
Gloria’s time was 2.5 minutes faster.
Richard’s time was 2.5 minutes faster.
Answers
Answer: the answer is C. Gloria’s time was 0.5 minutes faster.
Step-by-step explanation: i just took the test
What is the solution to the system of equations graphed below
Y=2x-7 y=-x-1
Answers
The value of the common solution to the system of equation is (2,-3).
What is System of Equation?The system of equation is set of equations which have a common solution.
The figure shows the graph of two equations, these equations are a straight line function and the common solution is represented by a point in the image.
The solution of the system of equation can be obtained both by solving using substitution method and even by plotting the graph and finding the intersection point.
The system of equation is,
y = 2x - 7
y = -x -1
The value of y from equation 2 will be substituted in equation 1
-x -1 = 2x -7
3x = 6
x = 2
Substituting this value in equation 2
y = -2 -1
y = -3
The value of (x,y) is (2,-3)
The graph is plotted and the intersection of the line is at (2,-3)
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Answer:
The answer is (2,-3)
Step-by-step explanation:
Larry Mitchell invested part of his $12,000 advance at 3% annual simple interest and the rest at 4% annual simple interest. If his total yearly interest from both accounts was $370, find the amount invested at each
rate
Answers
Answer:
Step-by-step explanation:
solve for y.
[tex]y + 10x = 3[/tex]
[tex]y + 10x = 3[/tex]
Answers
Y=3-10x
Hope this helped :)
PLEASE HURRRY!!!! WILL GIVE BRAINLIEST
Answers
Answer: $1150
Step-by-step explanation:
[tex]p +\frac{1p}{2} =1750[/tex]
[tex]\frac{2p}{2} +\frac{1p}{2} =1750[/tex]
[tex]\frac{3p}{2} =1750[/tex]
[tex]3p = 3450\\[/tex]
[tex]p = 1150[/tex]
Select the correct answer.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
ОА,
f(x) = (x-6)(x-4)
OB.
fx) = (x-6)(x + 4)
fx) = (x + 6)(x + 4)
OD.
AX) = (x + 6)(x-4)
Algebra
