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
Why is this number not in scientific notation?
36.5 x 10 6
Answers
Add the fractions. Write your answer as a mixed number 3/5+4/5
Answers
Answer:
Step-by-step explanation:
3 + 4 = 7.
the denominator stays the same. You only add the numerators.
7/5 in mixed number form is 1 2/5 because 7 goes into 5 once. so kinda like 7 - 5 = 2. and the 2 goes on top now.
PLZ HELP FAST GIVING 50 points and brainliest
Answers
Answer:-0.253624
Step-by-step explanation:
Answer:
0.253624
Step-by-step explanation:
The graph of y = x4 - 2x2 + 1 is shown.
Answers
Answer:
the answer is89 why 838+3838+3838×908=72
What is 1/20 written as a percent
0.5%
5%
10%
20%
Answers
Answer:
the answer is 5 percent
Answer: 5%
Step-by-step explanation:
1/20 = 5/100
5/100 = 5%
Pleas help I give brainliest ! Jejsjsjsjssjsjs
Answers
Help please I’m stuck on a few of these
Answers
Answer:
27
Step-by-step explanation:
Basically how it works is that the second f() shows an x where the 3 is, so you plug 3 in for x into the equation. 3 squared or 3 to the power of 2 is 9 because 3 x 3 = 9, and 9 times 3 is 27.
Hope this helps!
INVERSE FUNCTIONS
If the f has a power of -1, then it means the inverse, or the opposite of the function, so you can either switch the y and x values in the function, as the f(x) is also used to represent y, while x is x. You can switch the function to x=3y^2.
BUT THIS IS ONLY FOR INVERSE FUNCTIONS OVER AND UP.
GIVING OUT BRAINLIEST TO FIRST CORRECT ANSWER✅
Answers
Answer:
Option 3
Step-by-step explanation:
f inverse =
[tex] \frac{3x - 15}{4} [/tex]
help anyone please??
Answers
Answer:
I believe 3 ways based on what I see in the picture.
Solve the algebraic equation
11 = 3 - 7x
Answers
Answer:
-8/7 =x
Step-by-step explanation:
11 = 3 - 7x
Subtract 3 from each side
11-3 = 3-7x-3
8 = -7x
Divide each side by -7
8/-7 = -7x/-7
-8/7 =x
Answer:
x= -8/7
Step-by-step explanation:
1. subtract 3 from both sides
2. divide both sides by 7 to isolate x
3. multiply both sides by -1 so x can become positive
Please help me! I’ll name you brainiest!!!
Answers
Answer:
80
Step-by-step explanation:
first, put in (5x-4) for the x in g(x).
g(f(x))=(5x-4)^2 -1
now, FOIL and simplify.
25x^2-40x+16-1
25x^2-40x+15
now, plug in -1 for x.
25(-1)^2-40(-1)+15
25+40+15
80
Can someone help me plzzz algebra isn’t my strong suit
Answers
Answer:
1. 21+5f = 61
2. 18+5n=50.50
3. 40+30s=220
Step-by-step explanation:
1. SUM of 21 and 5 TIMES a number f is 61
From that sentence, sum means addition and times is multiplication, so:
21+5f = 61
2. Let's identify the given:
Monthly fee: 18
Cost of each call: 5
Variable that symbolizes the call: n
Total cost this month: 50.50
Thus, 18+5n=50.50
3. Identify the given:
Charge of tutor: 40
Charge of tutor every student: 30
Variable representing the number of students: s
Total charge: 220
Thus, 40+30s=220
A store is having a sale to promote a new product. Every item in the store is 1/6 off the regular price. If an item is on sale for $74, what was the regular price? Show your work.
Answers
1/6 off means the regular price for that item should be: $88.8
Work:
The sale = $74 ÷ 5 × 1 = $14.8
=> The regular price = $14.8 x 6 = $88.8
11.
What must the slope of a line be if it is parallel to the line
12x + 8y = -6?
A) –
B)
C) 1
D) -12
3
WIN
2
o
A
O
B
С
o o
D
Answers
Answer:
A) -3/2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Write equation
12x + 8y = -6
Step 2: Write in slope-intercept form
Subtract 12x on both sides: 8y = -12x - 6Divide both sides by 8: y = -3/2x - 3/4Step 3: Find slope
Slope of a parallel line always has the same slope of the original line.
m = -3/2 (Original)
m = -3/2 (Parallel)
Jerry can frame a room in 1 hour, while Jake takes 4 hours. How long would it take for them to frame a room working together?
Answers
Answer:
45 minutes
Step-by-step explanation:
If two people work together, the time it takes to frame will obviously be shorter. Since Jake Takes four times longer, he will only cut off a fourth of Jerry's time. Which is 15 mins. 60 mins - 15 mins = 45 mins.
The least common multiple that is divisible by both a and b is the smallest positive integer. It will take 4/5 hours for Jerry and Jake to frame a room working together.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
Jerry can frame a room in 1 hour. Therefore, the rate at which Jerry frame the room is,
Rate of Jerry = 1/1 room per hour
= 1 room per hour
Jake can frame a room in 4 hours. Therefore, the rate at which Jake can frame the room is,
Rate of Jake = 1/4 room per hour
Now, the rate at which they two will work together is,
Rate of working together = 1 + 1/4 room per hour
= 5/4 room per hour
Further, the time it will take for the two of them to frame a room working together is,
Time = 1/Rate
= 4/5 hour
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What is 4 + 8m < 2 (2m
4)
Answers
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhhhhhhhhhhuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu
A scientist measured the water pressure at different depths. She made a table showing her findings. The x-values represent the depth, in meters. The y-values represent the pressure in atmospheres (atm).
x
y
0
0
15
3
30
6
Assuming there is a proportional relationship, which additional set of values could be included in the table?
Answers
Answer:
100,70 is the answer I took the test
Answer:
The answer is A ppl
Step-by-step explanation:
$24 lunch;15% tip.
I NEED HELP
Answers
Answer:
3.60
Step-by-step explanation:
The amount of tip will be $3.6.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the restaurant bill for lunch is $24 and the tip given to the waiter is 15% of the total amount.
The total amount will be calculated as:-
Amount of tip = 24 x 15%
Amount of tip = 24 x 0.15
Amount of tip = $3.6
Hence, the tip amount will be $3.6
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Find the perimeter of the figure
Answers
Answer:
Answer=2[tex]x^{2}[/tex]+9x+2
Step-by-step explanation:
to find the perimeter of any shape you add all the lengths of it so,
(-[tex]x^{2}[/tex]+4x)+(3[tex]x^{2}[/tex]+5)+(5x-3)
(you add all same terms together)
=(-[tex]x^{2}[/tex]+3[tex]x^{2}[/tex])+(4x+5x)+(5+(-3))
=2[tex]x^{2}[/tex]+9x+2
0.05
[tex]0.05 \div 0.416[/tex]
help me solve
Answers
Select two ratios that are equivalent to 27: 9.
Answers
Answer:
3:1 and 9:3
Step-by-step explanation:
27 divided by 9 is 3
27 divided by 3 is 9
9 divided by 3 is 3
A group of friends bought 6 movie tickets. they used a coupon for $2.00 off the cost of one of the tickets, and their total cost with the coupon was $50.50. write an equation that can be used to determine the regular cost C of each movie ticket
Answers
Answer:
each ticket is $8.75
Step-by-step explanation:
c=8$8.75
The equation that can be used to determine the cost of each movie ticket is C = $48.50 / 6.
What is the equation that can be used to determine the cost of each movie ticket?Total cost of the 6 movie tickets = (6 x cost of each ticket) - value of one coupon
50.50 = 6C - $2
Combine similar terms
$50.50 - $2 = 6C
$48.50 = 6C
Divide both sides of the equawtion by 6
C = $48.50 / 6
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You have acummulated $85,000 in student loans that average 5% interest
Answers
Answer: The student will have to pay $900 per month including intrest and a portion of principal
(-2+8i)(3-10i)
Step by Step
Answers
-2 x 3 - 2 x (-10i) +8i x 3- 8i x 10i
-6+20i+24i - 80i ^2
-6+20i+24i - 80 x (-1)
-6+20i+24i + 80
Answer: 74+44i
Beverly wants to make 2 1/2 recipes of play clay for her daughter’s birthday party. How much salt will she need in all?
Answers
Answer: D
Step-by-step explanation:
To find the answer for this problem, you will need to convert all the terms into improper fractions. Since you want 2 1/2 of the recipe, you need to multiply by 2 1/2.
2 1/2 = 5/2
3 2/3 = 11/3
And then you would multiply and solve:
5/2 * 11/3 = 55/6
55/6 = 9 1/6
The answer is D :)
Answer:
There are 3 2/3 teaspoons of salt
Step-by-step explanation:
700 borrowed using a simple interest for 6 years at a rate of 5%, what is the interest amount?
Answers
Answer:
210
Step-by-step explanation:
I= p x r x t
I = 700 x 5/100 x 6
I= 700 x 0.05 x 6
I= 210
Simplify the following problem.
(-8+61) +(6+61)
Answers
Answer: -8+61 = 53 and 6+61 = 67
Write the slope intercept form of the equation of the line through the given point with the given slope.
1) through: (3,4), slope = 2
2) through: (5,-5), slope=-6/5
Answers
Answer:
1) y = 2x-2
2) y = -6/5+1
Step-by-step explanation:
Find the value of x.
(14x – 13)
(8x + 5)
Answers
Answer:
x = 3 (I think)
Step-by-step explanation:
14x - 13 = 8x + 5 (I'm assuming the two expressions are equal)
6x - 13 = 5
6x = 18
x = 3
The simplified value of x from the equation is x = 3
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
( 14x - 13 ) = ( 8x + 5 )
Subtracting 8x on both sides , we get
( 14x - 8x ) - 13 = 5
6x - 13 = 5
Adding 13 on both sides , we get
6x = 18
Divide by 6 on both sides , we get
x = 18/6
x = 3
Hence , the equation is solved and x = 3
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Convert into linear equations
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The slack variables make up the difference between the sum of the utilizations and the limit. A separate slack variable is needed for each limit. As with the other variables, its minimum value is zero.
For ( ) ≤ lim constraints, the slack variables are on the left side of the equal sign:
( ) +s ≤ lim.
__
For ( ) ≥ lim constraints, the slack variables can be on the right side of the equal sign:
( ) = s + lim
The more usual representation in a linear programming matrix is ...
( ) - s = lim
__
Here, your constraints are "≤", so each equation will have a unique slack variable added to the left side sum.