The test statistic for this test is 3.09.
To calculate the test statistic for this test, we need to use the formula:
t = [tex](\bar x - \mu) / (s /\sqrt n)[/tex]
where:
[tex]\bar x[/tex] = the sample mean difference (after - before)
[tex]\mu[/tex] = the population mean difference (assumed to be 0 if the test preparation course has no effect)
s = the standard deviation of the differences
n = the sample size (in this case, 30)
Plugging in the values given in the problem, we get:
t = [tex](6 - 0) / (10 / \sqrt 30)[/tex] = 3.09
To determine whether a test preparation course improves scores on the ACT test, we can use a paired samples t-test.
This test compares the mean difference between two related groups (in this case, the pre- and post-test scores of the same students) to the expected difference under the null hypothesis that there is no change in scores.
The test statistic for a paired samples t-test is given by:
t = (mean difference - hypothesized difference) / (standard error of the difference)
The mean difference is the average difference between the two groups, the hypothesized difference is the expected difference under the null hypothesis (which is 0 in this case), and the standard error of the difference is the standard deviation of the differences divided by the square root of the sample size.
The mean difference is 6 points, the hypothesized difference is 0, and the standard deviation of the differences is 10 points.
Since there are 30 students in the sample, the standard error of the difference is:
SE =[tex]10 / \sqrt{(30)[/tex]
= 1.83
Substituting these values into the formula for the test statistic, we get:
t = (6 - 0) / 1.83 = 3.28
The test statistic for this test is therefore 3.28.
To determine whether this test statistic is statistically significant, we would need to compare it to the critical value of t for 29 degrees of freedom (since there are 30 students in the sample and we are estimating one parameter, the mean difference).
The critical value for a two-tailed test at a significance level of 0.05 is approximately 2.045.
The test statistic (3.28) is greater than the critical value (2.045), we can conclude that the difference in scores between the pre- and post-test is statistically significant at a significance level of 0.05.
The test preparation course did indeed improve scores on the ACT test. It's important to note that this is just a single study and that further research would be needed to confirm these results.
For similar questions on test statistic
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Find the solution of y = -x - 3 for x = -2.
A.
(-2, 1)
B.
(-2, -5)
C.
(-2, -1)
Answer:
(-2,-1)
Step-by-step explanation:
y = -x - 3
you replace the x with the -2
y = -(-2) - 3
y=2-3
y=-1
A car on a racetrack drove 98 miles in 60 minutes. How far did it drive in 12 minutes? Round the the nearest tenth when necessary.
Answer:
19.6 miles in 12 minutes.
Step-by-step explanation:
first take 60, then divide it by 12.
60÷12=5
then take 98 and divide that by 5
98÷5=19.6
A florist used the equation Y=KX to determine how many flowers she'd need for 7 bouquets. She determined she'd need 175 flowers. How many flowers were in each bouquet?
Answer:
25
Step-by-step explanation:
because 175/7= 25
15% is to be added to a 120 pair of shoes. Find the total
Price for the pair of shoes
Answer:
138
Step-by-step explanation:
120 x .15 = 18
120 + 18 = 138
Answer:
138Step-by-step explanation:
[tex]120+15\%\times120=120+0.15\times120=120+18=138[/tex]
Select the correct answer.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
ОА
Ax = (x+6)(x-4)
OB.
Ay) = (x-6)(x + 4)
Oc.
Ax = (x + 6/(x+4)
OD. Ax) = (x-6)(x-4)
Answer:
A
Step-by-step explanation:
Dinah went out to eat at a restaurant. She wants to leave the waitress a tip of 18%. She can determine the amount she should pay by adding the total amount of the bill (b) to 18% of b + 18% ×b. Which expression shows another way that dinah can calculate the total amount she will pay, Including tip? Help me plssss
Answer:
C. [tex]1.18b[/tex]
Step-by-step explanation:
Hi! Ace here!
In order to do this, we have to convert 18% into a decimal.
The decimal form of it is .18.
So we have to do
[tex]b+.18b[/tex]
Combine like terms:
[tex]1.18b[/tex]
I hope this helped
Answer:
1.18b
Step-by-step explanation:
Remember: percentage = decimal × 100
total = b + 18% x b
Factor out b:
total = b x (1 + 18%) = b x (1 + 0.18)
total = b x 1.18 = 1.18b
4/5+ 1/3 how much is it
Help me please Thanks
Q2.
(a) Expand and simplify (m-8)(m + 5)
We can split the m-8 into 2 terms m and -8 each multiplying the next ( ) like this...
m(m+5)-8(m+5)
Now we expand
m^2+5m-8m-40
then simplify!
m^2-3m-40
Done!
If you have any more questions put them in the comments and brainliest will be appreciated
Help me pleaseeeeeee
Answer:
1(top)- the last one
2- the first one
3(bottom)- the middle one
Step-by-step explanation:
trust me :)
0.86 write the decimal as a fraction in simplest form
Answer:
43/50
Step-by-step explanation:
should be right.
Answer:
43/50
Step-by-step explanation:
86/100 divided by 2
plzzzzzzzzzzz helppppppppppppppppppp
Answer:
A. Step 1
Step-by-step explanation:
He made the mistake on step 1 because he didn't distribute
Answer:
Step 1
Step-by-step explanation:
2(5g - 1) = 3
1 Step: Distribute
2(5g - 1) = 3
10g-2=3
2 step: Add 2 to both side of the equation
10g -2=3
10g= -2+2=3+2
3 step: Simplify
4 step: Divide both sides of the equation by the same term
10g=5
10g/10 = 5/10
5 step: Simplify
g = 1/2
Abby needs 8 quarts of milk to make milkshakes for her class party. What would the equivalent amount of milk be in gallons
Answer:
2 gallons
Step-by-step explanation:
There are 4 (US) quarts in 1 (US) gallon.
Therefore, 2 gallons would equal 8 quarts.
4 + 4 = 8
Answer:
2, 2 gallons would be equal to 8 quarts
Step-by-step explanation:
4 quarts is a gallon so you would have 2
help please will give brainliest
Answer:
R=0.25
Step-by-step explanation:
Y=RX
2=R×8
2/8=8R/8
R=0.25
The number of students enrolled at a college is 17,000 and grows 6% each year.
Answer:
1020 new students per year.
Step-by-step explanation:
please help me if you can
Answer:
[tex]x=35[/tex]
Step-by-step explanation:
What is the answer to 2/6 + 1/2?
Answer: hey, there
your answer is 5/6
Step-by-step explanation:
=
2
6
+
1
2
=
1
3
+
1
2
=
2
6
+
3
6
=
2+3
6
Answer:
5/6
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/6, 1/2) = 6
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(26×11)+(12×33)=?
Complete the multiplication and the equation becomes
26+36=?
The two fractions now have like denominators so you can add the numerators.
Then:
2+36=56
This fraction cannot be reduced.
Therefore:
26+12=56
Solution by Formulas
Apply the fractions formula for addition, to
26+12
and solve
(2×2)+(1×6)6×2
=4+612
=1012
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(10,12) = 2
10÷212÷2=56
Therefore:
2/6+1/2=5/6
(hope this helps can i plz have brainlist :D hehe)
A city cat show is underway. Complete with purring, meowing, and an occasional hiss. There are three times as many orange cats as black and white cats, two times as many black and white cats as grey cats, three fewer gray cats then white cats, three times as many white cats as calico cats, and five white cats. How many of each kind of cat is in the show? How many in all?
Answer:
i like cats uwu
Step-by-step explanation:
pls Help!.. help help help
Use the model to write a equation
Answer:
5/8-2/8=3/8 I hope this helped!
it says what to do in the problem :)
Answer:
Step-by-step explanation:
1). (10x - 27)° = (2x + 29)°
10x - 27 = 2x + 29
8x = 56
x = 7
m∠W = (2(7) + 29)° = 43°
2). (14x + 4)° + 51° + 55° = 180°
14x + 110 = 180
x = 14
The ratio of 15 days to a week is
The ratio of 15 days to a week is 15 : 7.
[tex] \\ [/tex]
Explanation :Ratio of 15 days to a week :
[tex] \sf : \implies 15 \: days : 1 \: week = \dfrac{15 \: days}{1 \: week}[/tex]
[tex] \\ [/tex]
Now, we know that 1 week has 7 days.
[tex] \sf : \implies 15 \: days : 1 \: week = \dfrac{15 \: \cancel{days}}{7 \: \cancel{days}}[/tex]
[tex] \sf : \implies 15 \: days : 1 \: week = \dfrac{15}{7}[/tex]
[tex] \sf : \implies 15 \: days : 1 \: week = 15 : 7[/tex]
[tex] \\ [/tex]
Hence, The ratio of 15 days to a week is 15 : 7.
PLS HELP ASAP I MEAN ASAP PLS
Answer:
(B). - 3 ≤ x < 1
Step-by-step explanation:
[tex]\frac{\sqrt{x+3} }{\sqrt{1-x} }[/tex]
Given expression is defined for
1). x + 3 ≥ 0 ⇒ x ≥ - 3
and
2). 1 - x > 0 ⇒ x < 1
- 3 ≤ x < 1
I need this ASAP Joe needs at least $75 to take his mom
out for her birthday. So far he has
saved $30. He has 3 days to make the
money. Suppose he earns the same amount each
day,
write
an inequality to find out how much
he needs to earn each day. solve the inequality
Answer:
He will need to get 15$ a day
Step-by-step explanation:
So what u can do is subtract 30 from 75 u will get 45 divide that by 3 and u get 15. Hope it helps
How are exponents used for measuring an earthquake? Can you explain?
Answer:
Richter, the Richter scale was used for many years to describe the energy released by an earthquake. ... To estimate the Richter scale measure, write the amplitude, in mm, as 10 raised to an exponent (10x), then add 3 to the exponent, x. For example, if the amplitude is 100 mm, rewrite 100 as 102.
Step-by-step explanation:
Translations, reflections and rotations are all known as
transformations
hope it helps you
Ok so like last like night like I was like playing and like when I was like done playing I went to my room and like when I like went to my room I like 额我真的 and like it was like like so like crazy that I almost like died laughing
Answer: DUDE U GOT SO MANY "LIKE" IN ONE SENTENCE
Step-by-step explanation:
Answer:
like So like um.... like hit like the like heart like button like?
Step-by-step explanation:
i d k :/
-4 + x + 7 + 3x + 6x
Go to m-a-t-h-w-a-y they give you the answer. But only do it when absolutely necessary. Hope this helps!
Select the correct answer from the drop-Cown menu.
The roots of the quadratic equation
are x= 2 + i.
Drop down options
x^2-4x-5=0
x^2+4x+5=0
x^2-4x+5=0
x^2+4x-5=0
The x=2+i is the root of the quadratic equation x²-4x-5=0. Therefore, option A is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, the roots of the quadratic equation are x= 2 + i.
The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.
A) x²-4x-5=0
Here, x=[4±√(16-20)]/2
x=[4±2i]/2
x=2±i
x=2+i or x=2-i
Therefore, option A is the correct answer.
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how do you round to the nearest 10,000 in 1,995,298?
Answer:
The answer is 2,000,000
Step-by-step explanation: