The results of an independent-samples t test were t(19) = 4.02, p < 0.05. The sample size is 19.
What is independent t-test?The independent t-test is a defined as an statistical test in order to determine if we have statistically significant difference between the means of two unrelated groups.
Effect size is defined as a "quantitative measure of the magnitude of the experimenter effect" So, If we have a high value for the effect size then we can conclude that we have a stronger relationship between two variables.
T test is used to compare group means is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
We perform one sample z-test;
One sample z-test is performed if the sample size is large enough (n > 30) and we want to know if the sample comes from the specific population.
The results of an independent-samples t test were t(19) = 4.02, p < 0.05. In this example,
The sample size is 19.
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Select the correct answer. The graph of function f is shown. Function g is represented by the table. x -1 0 1 2 3 g(x) -24 -4 0 Which statement correctly compares the two functions? A. They have the same x-intercept and the same y-intercept. B. They have the same end behavior as x approaches ∞, but they have different x- and y-intercepts. C. They have the same x-intercept and the same end behavior as x approaches ∞. D. They have the same y-intercept and the same end behavior as x approaches ∞.
The answer is c
A. They have the same x-intercept and the same y-intercept. B. They have the same end behavior as x approaches ∞, but they have different x- and y-intercepts. C. They have the same x-intercept and the same end behavior as x approaches ∞. D. They have the same y-intercept and the same end behavior as x approaches ∞.
find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any trial is 9%
Answer:
0.8746 = 87.46% probability of at least 6 failures in 7 trials.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
7 trials
This means that [tex]n = 7[/tex]
The probability of success in any trial is 9%?
So the probability of a failure is 100 - 9 = 91%, which means that [tex]p = 0.91[/tex]
Probability of at least 6 failures in 7 trials?
This is:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{7,6}.(0.91)^{6}.(0.09)^{1} = 0.3578[/tex]
[tex]P(X = 7) = C_{7,7}.(0.91)^{7}.(0.09)^{0} = 0.5168[/tex]
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.3578 + 0.5168 = 0.8746[/tex]
0.8746 = 87.46% probability of at least 6 failures in 7 trials.
Liquid products were first obtained from coal in England during the 1700s. Lamp oil was produced from coal in the United States as early as 1850, but the domestic coal chemicals industry did not develop until World War I. A modern coal - for - recovery system uses a battery of coke ovens to produce liquid products from coal feed. These observations are obtained on the random variable X, the number of gallons of liquid product obtained per coal feed: (insert data)
7.6 8.2 7.1 10.0 6.5 9.6
6.1 6.2 7.6 6.2 9.5 6.7
7.4 9.5 9.2 8.0 8.5 9.3
8.8 9.6 9.7 6.8 7.1 7.7
8.7 7.8 8.7 8.2 8.2 7.4
9.0 8.8 7.3 7.9 7.1 7.9
7.6 6.7 8.1 6.2 5.3 7.4
7.7 9.1 7.9 8.7 8.4 8.1
a). Construct a stem – and – leaf diagram for these data. Use the numbers 5,6,7,8,9,10 as stems.
b). Is the assumption that X is normally distributed justifiable? Explain.
c). Break these data into six categories
d). Construct a frequency table and relative frequency histogram for these data. Does the histogram exhibit the bell – shape characteristics of a normal density?
e). Construct a cumulative frequency table and relative cumulative frequency ogive for these data. Use the ogive to approximate the probability that a randomly selected ton of coal will yield les than 7 gallons of liquid product.
Answer:
b) The data is bell shaped hence the assumption of X been normally distributed is correct
c) The categories are
< 5, 5-6, 6-7, 7-8, 8-9, 9-10
d) attached below
e) The probability of < 7 gallons = 0.167
Step-by-step explanation:
a) stem and leaf diagram for these data
stem leaf
5 .3
6 .1, .2, .2, .2, .5, .7, .7, .8
7 .1, .1, .1, .3, .4, .4, .4, .6, .6, .6, .7, .7, .8, .9, .9, .9
8 .0, .1, .1, .2, .2, .2, .4, .5, .7, .7, .7, .8, .8
9 .0, .1, .2, .3, .5, .5, .6, .6, .7
10 0
b) The data is bell shaped hence the assumption of X been normally distributed is correct
c) The categories are
< 5, 5-6, 6-7, 7-8, 8-9, 9-10
d) attached below
e) The probability of < 7 gallons = 0.167
In circle D with mZCDE = 112 and CD = 9 units, find the length of arc CE.
Round to the nearest hundredth.
Answer:
CE= 17.59
Step-by-step explanation:
Arc Length=central angle/ 360 (circumference)
CE= 112/ 360 (2π9)
CE= 17.59
Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test). For each statement, enter Correct if the argument is valid, or enter Incorrect if any part of the argument is flawed. Note: if the conclusion is true but the argument that led to it was wrong, you must enter Incorrect.
1. For all n>1, sin2(n)n2<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑sin2(n)n2 converges.
2. For all n>1, arctan(n)n3<π2n3, and the series π2∑1n3 converges, so by the Comparison Test, the series ∑arctan(n)n3 converges.
3. For all n>2, 1n2−5<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑1n2−5 converges.
4. For all n>2, n+1−−−−−√n>1n, and the series ∑1n diverges, so by the Comparison Test, the series ∑n+1−−−−−√n diverges.
5. For all n>2, nn3−2<2n2, and the series 2∑1n2 converges, so by the Comparison Test, the series ∑nn3−2 converges.
6. For all n>1, n2−n3<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑n2−n3
HELP ME ASAP PLEASE:(
Answer:
is B
Step-by-step explanation:
I need help solving this problem.
9514 1404 393
Answer:
8/7
Step-by-step explanation:
[tex]\displaystyle\left(\frac{g}{f}\right)(-2)=\frac{g(-2)}{f(-2)}=\frac{7(-2)-2}{-2(-2)^2+3(-2)}\\\\=\frac{-16}{-8-6}=\boxed{\frac{8}{7}}[/tex]
Answer:
the answer is 8/7
Step-by-step explanation:
:)))))
Write 0.721 as a fraction. Show your work.
ASPP
Answer:
721/1000
Step-by-step explanation:
0.721/1 × 1000/1000=721/1000
The circumference of a circle is 125.6 inches. What is the circle's radius?
Help pls!
Answer:
i believe the answer is 19.99 inches
Need answer asap, will give brainliest
Answer:
35
Step-by-step explanation:
Asa has 4 pairs of shoes, 5 pairs of pants, and 4 shirts which can be worn in any combination. he need to choose an outfit to wear to his friends birthday party. how many different combinations consisting of one item in each category are possible?
A.9
B.13
C.20
D.40
E.80
Answer:
E
Step-by-step explanation:
Kelly recorded the number of people who wore school shirts to the football game on Saturday. Of the 525 fans, 224 wore school shirts. If 840 people are expected to attend next Saturday, how many of them would Kelly expect to be wearing school shirts?
A)224
B)301
C)358
D)525
A parabola has a vertex at (-6, 6) and roots at 10 and m. Find the value of m.
Answer:
m = -22
Step-by-step explanation:
Formula for parabola in it's vertex form is given by;
y = a(x - h)² + k
Where (h, k) is the coordinate of the vertex.
We are told that vertex is at (-6, 6) and the roots are at 10 and m.
Thus;
y = a(x - (-6))² + 6
y = a(x + 6)² + 6
Since 10 is a root, thus;
0 = a(10 + 6)² + 6
-6 = 256a
a = -6/256
a = -3/128
Thus,the equation is;
y = (-3/128)(x + 6)² + 6
Since m is a root, then;
0 = (-3/128)(m + 6)² + 6
-6 = (-3/128)(m + 6)²
Rearranging, we have;
128 × 6/3 = (m + 6)²
256 = m² + 12m + 36
m² + 12m - 256 + 36 = 0
m² + 12m - 220 = 0
Using quadratic formula, we have;
m = 10 or -22
Solve for y. 3=7(1-1)
(it isn't 2)
Answer:
First off, I can't solve for y, there is no y variable.
Second, 3 = 7 ( 1 - 1 ) is not true because 3 ≠ 0 ( 3 doesn't equal 0 ) :
3 = 7 ( 1 - 1 )
3 = 7 ( 0 ) ( Simplify Parenthesis )
3 = 0 ( Multiply 7 and 0 )
3 ≠ 0
What is the solution to the equation below?
Answer:
x=500 hope that helps at all
In the diagram, chords LM and NP are parallel and the measure of angle M = 68º.
Determine the value of x.
Answer: 44
Step-by-step explanation:
180-68-68 = 44
Simplify using the product rule.
a^4 x a^3
Answer: the answer to the question is a7x
Step-by-step explanation:
Use the binomial squares pattern to multiply (6u3−v)2.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 36u^6-12u^3v + v^2
Explanation:
I hope this helped!
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Lawrence wants to drive from Durban to Johannesburg 550km. If he travels at an average speed of 100km/hr, how long does he tale to get there?
Answer:
5.5hr
Step-by-step explanation:
Distance=550Km
Speed=100Km/hr
Speed=(Distance/Time)
Time=(Distance/Speed)
Time=550/100=5.5hr
Will all slices created by a slicing plane that passes through a sphere be the same size
Answer:
The suggestion proposed considering special cases, so that’s what we’ll do.
One special case we could consider is when x=0. If h=r, then we have a hemisphere. You may have learnt that the surface area of a sphere is 4πr2, so the answer in this case is 2πr2. Likewise, we can consider the most extreme cases: when h=2r, we get an area of 4πr2 (the entire sphere), and when h=0, we get zero area.
So if we do manage to get a general formula, we will be able to check it in these special cases.
Another possible idea when x=0 is to consider what happens when h is very small. In this case, the surface area looks a lot like a circle, but the radius of the circle does not seem particularly easy to work out, so maybe we’ll leave this one for a moment. (There are things we can do to approximate the radius using more advanced techniques, but they are currently beyond us.)
Another thing we could consider is the situation where h is very small. Then the part of the sphere between the planes looks very much like the frustum of a cone, and we know how to find the (surface) area of such a shape – see Cones.
If we recall our answer from that problem, we find the formulae for the surface area
π(R+r)s=π(R+r)hcosθ=π(R2−r2)sinθ.
Here, R is the radius of the base of the frustum, r is the radius of the top, h is the perpendicular height, s is the slant length and θ is the angle the slant makes with the vertical.
Step-by-step explanation:
Answer: no
Step-by-step explanation:
Courtney bought 2 quarts of milk, 4 quarts of orange juice, and 2 quarts of apple juice. How many gallons of liquid did she buy?
The number of gallons of liquid that Courtney bought is 2 gallons.
What are Measurements?Measurement is the method of comparing the properties of a quantity or object using a standard quantity.
Measurement is essential to determine the quantity of any object.
Given that,
Amount of milk bought = 2 quarts
Amount of orange juice bought = 4 quarts
Amount of apple juice bought = 2 quarts
Total amount of liquid bought = 2 + 4 + 2 = 8 quarts
We have the conversion,
1 quart of liquid = 0.25 gallon of liquid
Total amount of liquid bought in gallons = 8 × 0.25 = 2 gallons
Hence the total amount of liquid bought is 8 gallons.
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What’s the slope???????????????
Answer:
0
Step-by-step explanation:
The slope of a line is obtained thus :
Slope = Rise / Run
Rise = (x2 - x1)
Run = (y2 - y1)
x2 = 3 ; x1 = 0
y1 = - 20 ; y2 = - 20
Slope = (-20 - (-20)) / (3 - 0)
Slope = (-20 + 20) / 3
Slope = 0 / 3
Slope = 0
Hence, the slope or rate of change = 0
A shipment of fibers is not acceptable if the mean breaking strength of the fibers is less than 50.03 N. A large sample of fibers from this shipment was tested, and a 98% lower confidence bound for the mean breaking strength was computed to be 50.1 N. Someone suggests using these data to test the hypotheses H0 : μ ≤ 50.03 versus H1 : μ > 50.03. Is it possible to determine from the confidence bound whether P < 0.01? Explain.
Answer:
NO it is not possible
Step-by-step explanation:
It is not possible to determine from the confidence bound whether p < 0.01 and this is because since the 50.03 is less than 98% lower confidence bound which is 50.1 N , we know that p value < 0.03 but P value might be ≥ 0.01 . hence we cannot determine from the confidence bound whether p < 0.01
NEED HELP ASAP 10 min !!!!!!!!!!!!!!
hurry please i have 2 minutes left
Answer:
Option D
Step-by-step explanation:
Option A would not be accurate
Option B would not be accurate
Option C wouldn’t be a valid option
Option D would be accurate
Option E wouldn’t be accurate at all
Option F not a good one
Plz explain how to do this!!!
Answer:
Step-by-step explanation:
You are trying to find the value of K, so to do that you need to get k by itself (example : K= 3-5 instead of K+5= 3)
So in 1a i would simplify 7k-3k= 4k
then 4k=11
now to get rid of the 4 and get the k alone- you DIVIDE 4k by 4 and divide 11 by 4 cause you need to do it on both sides of the equation, it should look like this.
4k= 11
- = -
4 4
(4k over 4 and 11 over four)
so the answer is k = 2.75 cause 11/4 = 2.75
Consider the following function.
f(x) = 5*
Complete the following statements about f(x).
The y-intercept of f(x) is
The x-intercept of f(x) is
The end behavior of f(x) is
I need help!
The x-intercept is at (∞, 0)
The y intercept is (0, 1)
Intercept of a graphThe x-intercept of a graph occurs at the point where y = 0
Given the equation y = 5^x
If y = 0
5^x = 0
xln5 = ln 0
x = ln0/ln5
x = ∞
The x-intercept is at (∞, 0)
y-intercept
The y-intercept occurs at the point where x = 0
y = 5^0
y = 1
Hence the y intercept is (0, 1)
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Help please! :) -Substitution Method-
Answer:
d
Step-by-step explanation:
What is the answer please help no links no links
You might even think it’s not a thing for a 11 year-old, but I got this as my assignment today: 6.22222267/2.1 x 1/2 of 98... This is disaster. Pls help.....
Answer to the question:
145.18519533