In an effort to improve scores on college-entrance exams, the principal at a large high school chooses 35 students
at random who have already taken the exam. The students are enrolled in a six-week prep course to improve their
scores. After the prep course, the students take the college-entrance exam again. The mean difference (first-
second) in exam scores is -1.75 points with a standard deviation of 7.12 points. Assuming the conditions for
inference are met, what is the test statistic for testing the hypotheses Hoi Hoi = 0; He Moip <0?
O 1-1.75 -0
7.12
35
o
0+ 1.75
7.12
35
-1.75 -0
7.12
35
=
1.75 -0
7.12
35
Nex
Submit
Mark this and return
Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:
[tex]t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}[/tex]
What are the hypotheses tested?At the null hypotheses, it i tested if the mean difference remains the same, that is:
[tex]H_0: \mu = 0[/tex]
At the alternative hypotheses, it is tested if it has decreased, hence:
[tex]H_a: \mu < 0[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The parameters are given as follows:
[tex]\overline{x} = -1.75, s = 7.12, n = 35[/tex].
Hence the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}[/tex]
More can be learned about the t-distribution at https://brainly.com/question/16162795
#SPJ1
Angle relationships with parallel lines
Answer:
x = 132
Step-by-step explanation:
x = 180 - 48
x = 132
The richter scale measures the magnitude, m, of an earthquake as a function of its intensity, i, and the intensity of a reference earthquake, . which equation calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake? a. b. c. d.
The magnitude of an earthquake with an intensity 10,000 times is [㏒10000]
What is magnitude?magnitude can be regarded as the size or the weight of destruction that is been experienced as a result of the earthquake.
The magnitude as regards Richter scale is
[㏒(I/I₀]
But we were given l as 10000I₀.
Then if we substitute we have, [㏒(10000I₀./I₀)]
If we simplify we have:
[㏒10000]
Therefore, magnitude of an earthquake with an intensity 10,000 times is [㏒10000]
Learn more about magnitude at;
https://brainly.com/question/24223169
#SPJ4
PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!
Answer:
[tex]\frac{\pi }{4}[/tex]
Step-by-step explanation:
Solving :
(2 cos(θ))² = 2
4 cos²θ = 2
cos²θ = 1/√2
cosθ = [tex]\frac{\pi }{4}[/tex]
PLS HELP!!!!!!!! GEOMETRIC SEQUENCE!!!!!
Answer:
-256
Step-by-step explanation:
The numbers are being multiplied by 2.
( -4 * 2 = -8)
(-8* 2 = -16)
please please can someone help me
[tex] \sf nonsense = reported[/tex]
Answer:
See below ~
Step-by-step explanation:
Q1
The line graph shows Sarah's daily expenses in school every day of the weekQ2
Sarah spent 60 - 10 = 50 pesos more on Thursday than WednesdayQ3
Total Daily Expenses = 25 + 30 + 10 + 60 + 35Total Daily Expenses = 55 + 70 + 35Total Daily Expenses = 90 + 70Total Daily Expenses = 160 pesosQ4
She spent the most on Thursday most likely to pay a fee for a school event like a field trip, party, etc.Q5
If she continues to spend Php 60 a day, then her spending will increase to Php 300 per weekWrite an 27, 31, 35, .... explicit formula for an, the n th term of the sequence
Answer :
See below ~
Explanation :
Common difference (d) between terms is :31 - 27 = 4Then the recursive formula is :
aₙ = aₙ₋₁ + 4(rounding) 17.23. whats the nearest tenth?
Answer:
17.2
Step-by-step explanation:
23 ⇒ Below 5, round down
20 ⇒ Add to decimal
17. 23 ⇒ 17.2 / 17.20
From previous experience, the owner of a Apple orchard knows that the mean weight of a gala Apple is 140 grams. This year there has been more precipitation than usual and the owner believes the weights of the apples will be heavier than usual. The owner takes a random sample of 30 apples and records their weights. What is the appropriate inference procedure?
The appropriate inference procedure is the t test for μdiff.
What is the t test?The t test is used to compare the means of two groups. It is a very important tool that can be used in inferential statistics.
Since it shows whether the means of two groups are significantly different, we can say that, the appropriate inference procedure is the t test for μdiff.
Learn more about statistics:https://brainly.com/question/8058700
#SPJ1
A cable extends from the top of a radio tower to a point 360 feet from the base of the tower. If the
cable is 850 feet long, how tall is the tower?
Step-by-step explanation:
we have a right-angled triangle :
the Hypotenuse (baseline opposite of the 90° angle) is the 850 ft cable from the top of the tower down to the point on the ground 360 ft away from the tower.
then the ground distance (360 ft) and the height of the tower are the 2 legs.
so, we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse.
in our case
850² = 360² + height²
height² = 850² - 360² = 592,900
height = 770 ft
the tower is 770 ft tall.
Answer:
770 feet
Step-by-step explanation:
Given
Cable = 850 feet longExtends from radio tower to a point 360 feet from the base of a towerSolving
Using the Pythagorean Theorem, we can find the height(distance from base)² + (height)² = (length of cable)²height² = (850)² - (360)²height² = 722,500 - 129,600height² = 592,900height = √592,900height = 770 feet11. Graph the following equation and if possible, determine the slope.
y= -3
Please help I will mark you as brainiest
Answer:
A. m = 0
Step-by-step explanation:
The slope is 0 as the change in y-value is 0, and change in x-value is infinite.
Graph
describe the end behavior of f(x)=2x^3
Answer:
as x→+∞, f(x)→+∞ as x→-∞,f(x)→-∞
Step-by-step explanation:
HELP ME OUT NO SCAM OR ELSE!!!! I ONLY GOT 1 MIN!!!! 50 BRAINLY PTS
Answer:
The two middle ones
Step-by-step explanation:
PLSS ANSWER!!!
In the circle, O is the center. The radius of the circle is 6 feet. Find the area of the shaded
sectors. Round to the nearest hundredth
12.57
Step-by-step explanation:
Area = πr²
40/360 × 22/7 × 36
1/9 × 22/7 × 36
(22 × 4)/7 = 12.57
WILL GIVE BRAINLIEST PLEASE HELP ASAP
Please answer this in word form and do it fast because I’m running out of time. Will give brainliest
Step-by-step explanation:
because the distance from O to the other 3 points is the same. each bisector provides a line of points with equal distance to the 2 end points of its base line.
where these 2 bisectors intersect, is the point that has the same distance to all end points.
find an ordered pair for 4 solution for -5x+y=6
⇒ Choose three values for [tex]x[/tex] and substitute in to find the corresponding [tex]y[/tex] values.
[tex](0,6),(1,11),(2,16)[/tex]
Mr. Emmer gave a test in his Chemistry class. The scores were normally distributed with a mean of 82 and a standard deviation of 4. A student is randomly chosen. What is the probability that the student scores a 70 or below? Use the formula for a z-score z = x - mu/infinity where x is the given value, mu is the mean and infinity is the standard deviation. Then refer to the chart on page 11 of the lesson to find the probability. a. .0668.b. .0179.c. .0013.d. .5000.
The probability that the student scores a 70 or below is 0.0013
How to determine the probability?The given parameters are:
Mean, μ = 82Standard deviation, σ = 4The probability that a student scores 70 or below is represented as:
P(x ≤ 70)
Calculate the z score for x = 70 using:
[tex]z =\frac{x - \mu}{\sigma}[/tex]
This gives
[tex]z =\frac{70 - 82}{4}[/tex]
Evaluate
z =-3
The probability becomes
P(x ≤ 70) = P(z ≤ -3)
Using the z tables of probabilities, we have:
P(x ≤ 70) = 0.0013499
Approximate
P(x ≤ 70) = 0.0013
Hence, the probability that the student scores a 70 or below is 0.0013
Read more about probability at:
https://brainly.com/question/251701
#SPJ4
There are 26 counters in a bag. 5 of the counters are pink. 10 of the counters are blue. the rest of the counters are white. jan puts some more pink counters into the bag. she then takes some blue counters out of the bag. after she has done this there are still 26 counters in the bag. jan then takes at random a counter from the bag. the probability that she takes a pink counter is 1/2 what is the probability that she takes a blue counter?
The probability of picking a blue counter from the bag is 1 / 13.
What is the probability?The number of counters initially in the bag:
white counters = 26 - 10 - 5 = 11 pink counters = 5 blue counters = 10The number of counters now in the bag:
white counters = 11pink counters = (5 + x) / 26 = 1/213/26
x = 13 - 5 = 8
blue counters = 26 - 13 - 11 = 2Probability of picking a blue counter = number of blue counters / total number of counters
2/26 = 1 / 13
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
How many minutes per week do the students in our class play video games please help
Answer:
Mean: 599, Median 60
Step-by-step explanation:
0,0,0,14,16,30,60,260,300,420,1500,2592,2595
add them all up it gives you 7,787 divided by the number of numbers(13) to find the mean.
Mean: 599
Sort them from smallest to greatest and the number directly in the middle is the median.
Median: 60
At the end of the winter, coats are on sale for 75% off. If a heavy coat was priced
at $120 after taking the discount, then how much will the coat ring up for at the register
if the tax is 6%?
Answer:
the answer is $31.80
Step-by-step explanation:
6% of $120.00 is $7.20,
75% off of 127.20= $31.80
The number of people who visited a state park over the last nine years is recorded in the table.
Drop Down answers
The visitor data is best modeled by a function.
Linear, Quadratic, Square Root
Based on the model, the state park management should plan for than 400 visitors next year.
Less, More
The visitor data is best modeled by a quadratic function, and the state park management should plan for more than 400 visitors next year.
How to determine the model of the function?To do this, we simply plot the points on a graph.
See attachment for the graph that represents the table.
From the attached graph, we can see that the points on the graph follows an approximately quadratic path
Hence, the visitor data is best modeled by a quadratic function
Also, the state park management should plan for more than 400 visitors next year.
This is so because the range of a quadratic function is the set of all real numbers.
This means that the table can accept a value of 400 (or greater) as one of its data points
Read more about regression equations at:
https://brainly.com/question/732489
#SPJ1
b) The mean of 7, 5, 0, 1, 3, 4 and h is 10. Find the value of h.
Step-by-step explanation:
mean =10
sum of no =7+5+0+1+3+4+h=20+h
N=7
now
mean=sum of no/N
10=20+h/7
10×7=20+h
70-20=h
h=50
3. Cups are sold in packages of 8. Napkins are sold in packages of 12.
a. What is the fewest number of packages of cups and the fewest numb
packages of napkins that can be purchased so there will be the same
cups as napkins?
b. How many sets of cups and napkins will there be?
Answer:
A. The fewest number of packages of cups and napkins that can be purchased so that they will be the same is 3 packages of cups and 2 packages of napkins.
B. I'm not sure what this part is asking, I hope someone else comes in and helps.
Step-by-step explanation:
Part A Explanation:
3 packages of cups gives you 24 cups total
2 packages of napkins gives you 24 napkins total
find the surface area of the cube
Answer:
150
Step-by-step explanation:
Knowing that a cube has 6 faces which all are equal.
Thus, Multiply the area of one face by the number of faces to get the total surface area of the cube.
Since, it given that one face is 5 cm
Then, we also must know the formula for area of a cube
Which is:
[tex]Area=6a^2[/tex]
Thus,
[tex]Area=6a^2[/tex]
[tex]Area=6(5)^2[/tex]
[tex]Area=6(25)[/tex]
[tex]Area=150[/tex]
Kavinsky
Which ratio table below does not represent a proportional relationship between the number of laptop and desktop computers being sold at an electronics store?
Answer:
table 1
Step-by-step explanation:
a table represents a proportional relationship between the number of laptop and desktop computers ,if the ratio of the number of desktop computers to laptops is a constant (doesn’t vary)
Table1 : (does not represent a proportional relationship) because :
11÷10=1,1
46÷42=1.09...
and 1.1 ≠ 1.09
Table2 : (represents a proportional relationship) because :
3÷6=0.5
9÷18=0.5
18÷36=0.5
72÷144=0.5
Table3 : (represents a proportional relationship) because :
18÷12=1.5
36÷24=1.5
54÷36=1.5
108÷72=1.5
Table4 : (represents a proportional relationship) because :
2÷3=0.666666666667
18÷27=0.666666666667
22÷33=0.666666666667
200÷300=0.666666666667
PLEASE HELP!!!!!!!!!!!!!
no lo sé, pero como necesito puntos, ¿sí?
The dot plot below represents how long it takes students in an 8th grade math
class to get to school every morning.
COMMUTE TIME
......
...
:
...
G...
-
10
20
25
30
35
40
45
Minutes
What was the shortest commute time?
minutes
ann
Answer:
5 minutes
Step-by-step explanation:
the perimeter of a rhombus whose sides are 12 units in length is:
48
144
192
Answer:
48
Step-by-step explanation:
12*4=48
Will mark brainlist to whoever answers first
(3).
Answer:
70
Step-by-step explanation:
in parallelograms, the measure of reciprocal angles is equal to 180 because they are supplementary,
m<D = 110 so the measure of m<A which is reciprocal to m<D is equal to 70
In a class of 34 students
12 study German
• 25 study Spanish
6 do not study either language.
One student in the class is selected at random.
Find the probability that this student studies both languages.
Answer:
Step-by-step explanation: