Answer:
The calculated χ² = 17.0281 falls in the critical region χ² ≥ 9.49 so we reject the null hypothesis that the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent
The p-value is 0 .001909. The result is significant at p < 0.05
Part b:
40 > 8.5
35> 7.5
25> 4
Step-by-step explanation:
1) Let the null and alternative hypothesis as
H0: the quality of management and the reputation of the company are independent
against the claim
Ha: the quality of management and the reputation of the company are dependent
2) The significance level alpha is set at 0.05
3) The test statistic under H0 is
χ²= ∑ (o - e)²/ e where O is the observed and e is the expected frequency
which has an approximate chi square distribution with ( 3-1) (3-1)= 4 d.f
4) Computations:
Under H0 ,
Observed Expected E χ²= ∑(O-e)²/e
40 35.00 0.71
25 24.50 0.01
5 10.50 2.88
35 40.00 0.62
35 28.0 1.75
10 12.00 0.33
25 25.00 0.00
10 17.50 3.21
15 7.50 7.50
∑ 17.0281
Column Totals 100 70 30 200 (Grand Total)
5) The critical region is χ² ≥ χ² (0.05)2 = 9.49
6) Conclusion:
The calculated χ² = 17.0281 falls in the critical region χ² ≥ 9.49 so we reject the null hypothesis that the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent.
7) The p-value is 0 .001909. The result is significant at p < 0.05
The p- values tells that the variables are dependent.
Part b:
If we take the excellent row total = 70 and compare it with the excellent column total= 100
If we take the good row total = 70 and compare it with the good column total= 80
If we take the fair row total = 50 and compare it with the fair column total= 30
The two attributes are said to be associated if
Thus we see that ( where (A)(B) are row and columns totals and AB are the cell contents)
AB> (A)(B)/N
40 > 1700/200
40 > 8.5
35> 1500/200
35> 7.5
25> 800/200
25> 4
and so on.
Hence they are positively associated
. A shipyard makes a container ship that can withstand the total amount of weight W, which is normally distributed with mean of 600 tons and standard deviation of 60 tons. Let us assume that the weight of a single container that will be loaded to the container ship is also normally distributed with mean of 4 tons and standard deviation of 0.4 tons. What is the maximum number of containers that the ship can load and still have at least a 90% chance to not exceed its weight limit
Answer:
the maximum number of containers that the ship can load is 170
Step-by-step explanation:
Given the data in the question;
W ~ N( 600, 60 )
S ~ N( 4n, 0.4√n )
so
p( W > S ) = 0.90
⇒ P( W - S > 0) = 0.9 ------ let this be equation 1
now, since W and S are independent
Mean( W - S ) = Mean( W ) - Mean( S 0 = 600 - 4n
and
SD( W - S ) = √( var(W) + var(S) ) = √( 60² + 0.4²n)
hence;
W - S ~ N( 600 - 4n, √( 60² + 0.4²n) )
now, from equation one, P( W - S > 0) = 0.9
[tex]P( \frac{(W-S)-Mean(W-S)}{SD(W-S)} > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = 0.90[/tex]
[tex]P( z > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = 0.90[/tex]
from z- table
[tex]P( z > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = P( z >-1.282)[/tex]
[tex]\frac{4n - 600}{\sqrt{60^2 + 0.4^2n} } = -1.282[/tex] ------------------ let this be equation 2
now, we square both sides of equation 2
[tex]\frac{(4n - 600)^2}{60^2 + 0.4^2n} } = (-1.282)^2[/tex]
[tex]\frac{(4n - 600)(4n-600)}{3600 + 0.16n} } = 1.643524[/tex]
we cross multiply
16n² + 360000 - 4800n = 1.643524( 3600 + 0.16n )
16n² + 360000 - 4800n = 5916.6864 + 0.26296384n
16n² + 360000 - 5916.6864 - 4800n - 0.26296384n = 0
16n² + 354083.3136 - 4800.26296384n = 0
16n² - 4800.26296384n + 354083.3136 = 0
solving the quadratic equation, we know that;
x = -b±√( b² - 4ac ) / 2a
so we substitute
x = [-(-4800.26296384) ±√( (-4800.26296384)² - (4 × 16 × 354083.3136)] / [2×16]
x = [ 4800.26296384 ±√( 23042524.522 - 22661332.0704 ] / 32
x = [ 4800.26296384 ±√(381192.4516) ] / 32
x = [ 4800.26296384 ± 617.4078 ] / 32
Hence;
x = [ 4800.26296384 - 617.4078 ] / 32 or [ 4800.26296384 + 617.4078 ] / 32
x = 131 or 170
Therefore, the maximum number of containers that the ship can load is 170
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
1 and 3, 2 and 4, 1 and 2, 3 and 4
5 and 7, 6 and 8, 5 and 6, 7 and 8
Step-by-step explanation:
A sample of bacteria is decaying according to the half-life model f(t) = Ne -0.226t, where N is the initial sample size and t
is time in hours. At t = 4, there are 25 bacteria remaining. What was the initial sample amount? Round your answer to the
nearest whole number, and do not include units.
Answer:
Step-by-step explanation:
A sample of bacteria is decaying according to the half-life model f(t) = Ne -0.226t, where N is the initial sample size and t
is time in hours. At t = 4, there are 25 bacteria remaining. What was the initial sample amount? Round your answer to the
nearest whole number, and do not include units.
Select all the roots of the following equation.
Solve (x−5)(x+9)=0
Select 2 correct answer(s)
14
5
-9
5
9
-14
Answer:
5, -9
Step-by-step explanation:
(x - 5)(x + 9) = 0 These are factors, to get the roots, just set each one equal to zero
x - 5 = 0
x = 5
x + 9 = 0
x = -9
Answer:
Postive 5 and negative 9.
Step-by-step explanation:
So remember, all we have to do is set each of the parethese to zero and solve. It should look like this:
x-5=0 and x+9=0
For the first equation we have made, jsut add 5 to both sides so x is alone. This will get you:
x=5
So the first answer for x is 5.
Now lets solve our second equation and find the second answer for x.
So all we have to do for this one is subtract 9 from both sides. This should get you:
x=-9
So now we know that our two answers for x is 5 and -9.
These two answers seem to be on your list as #2 answer and #3 answer.
What set has the largest mode? Just to inform you I took this once already and C is not the answer (I’ll give points + brainalist)
Answer:
D
Step-by-step explanation:
The mode of a set of numbers is the number that occurs the most.
For A, the mode is 3. For B, the modes are 4,5, and 6 . For C, the mode is 4. For D, the mode is 11.
The largest of these modes is 11, so the answer is D
Please the the working. A car bought for $200 and sold for $250, what was the percentage gain of the cost price?
9514 1404 393
Answer:
25%
Step-by-step explanation:
A percentage change is calculated using the formula ...
pct change = ((new value) - (old value))/(old value) × 100%
For your numbers, this is ...
pct change = (250 -200)/200 × 100% = 50/200×100% = 25%
The selling price was 25% more than the cost price.
A home business has an average income of $900.00 per month with a standard deviation of $15.00 if the income given month is $930.00 what z-score corresponds to this value
Answer:
Z score is a statistical that corresponds to the standarization of the regular score to a normal dsitribution
The formula for Z score is Z = [X - mean ]./ (standar deviation)
Here X = 930.00; mean = 900.00; and standard deviation = 15.00
Then, Z = [930.00 - 900.00] / 15.00 = 30.00 / 15.00 = 2.00
Answer: 2.00
Step-by-step explanation:
The joint F.D.P of a bivariate VA (X, Y) is given
per:
a) Find the value of K.
b) Find the marginal F.D.Ps of X and Y
c) X and Y are independent?
Answer:
2
Step-by-step explanation:
ed
A circular spinner is divided into 17 sectors of equal area. There are 6 red sectors, 6 blue, 3 yellow, and 2 green. Consider the experiment of spinning the spinner once. Find the probability
that the spinner lands on blue or green.
The probability that the spinner lands on blue or green is
Answer:
8/17 or 47% or .47
Step-by-step explanation:
8 of them are blue or green and there are 17 total. So 8 out of 17 (8/17) are likely to be spun
The required probability is 8/17 that the spinner lands on blue or green.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Given that the circular spinner is split into 17 equal-sized sections. There are six red sectors, six blue sectors, three yellow sectors, and two green sectors.
The total number of outcomes. = 6 + 6 + 3 + 2
So n(S) = 17
Number of favorable outcomes i.e. (blue+green), n(E) = 6 + 2 = 8
Consider the experiment of once spinning the spinner.
The probability of the spinner landing on blue or green will be
⇒ P(E) = n(E)/n(S)
⇒ P(E) = 8/17
Therefore, the required probability is 8/17 that the spinner lands on blue or green.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
if f(x)=k g(x), what is the value of k
Answer:
the y intercept
Step-by-step explanation:
the k in algebra is the y intercept :))
Find the value of f(4) for the function
Answer:
f(4) = 7
Step-by-step explanation:
The notation for these type of problems is very confusing. Just remember that f(x) is the same thing as y (or some variable). Even if there is a number or something on the inside of the parentheses, it's still just a variable.
In our case
f(a) = 2(a + 4) -9
could be rewritten as
y = 2(a + 4) - 9
the thing on the inside of the parentheses signifies what the equation is dependent on.
so when is says f(4), it just want's you to trade out a for a 4, but the equation is still the same.
f(4) = 2((4) + 4) - 9
Now, just follow the order of operations
f(4) = 2(8) - 9
f(4) = 16 - 9
f(4) = 7
Use the table to write a linear function that relates y to x .
y=
Answer:
y= -1/4x
Step-by-step explanation:
Suppose Lauren is working two jobs to help pay for college. One job pays more per hour than the other. Since her boss at the higher-paying job wouldn't give her as many hours as she wanted, she picked up the second job to generate more income. With her course load, 20 hours a week of work is all she can manage, but she wants to make as much money as possible in those 20 hours. Her goal is to get twice as many hours a week at the higher-paying job than at the lower-paying one. How many hours should she work at each job
Answer:
She will work 6.67 hours at the low paying job and 13.33 hours at the high paying job
Step-by-step explanation:
Given
[tex]x = Low\ pay\ job[/tex]
[tex]y = high\ pay\ job[/tex]
From the question, we have that:
She can only work for 20 hours.
This implies that:
[tex]x + y= 20[/tex]
To work 2ce as many hours at the high paying job than the low paying job; implies that:
[tex]y = 2x[/tex]
So, we have:
[tex]x + y= 20[/tex]
[tex]y = 2x[/tex]
Required
Number of hours at each job
Substitute [tex]y = 2x[/tex] in [tex]x + y= 20[/tex]
[tex]x + 2x = 20[/tex]
[tex]3x =20[/tex]
Solve for x
[tex]x = \frac{20}{3}[/tex]
[tex]x = 6.67[/tex]
Substitute [tex]x = \frac{20}{3}[/tex] in [tex]y = 2x[/tex]
[tex]y = 2 * \frac{20}{3}[/tex]
[tex]y = \frac{40}{3}[/tex]
[tex]y = 13.33[/tex]
She will work 6.67 hours at the low paying job and 13.33 hours at the high paying job
Given the data below, what is the upper quartile? 1,1,3,4,4,4,8,9,13,15
Answer:
9 is Q3
Step-by-step explanation:
1,1,3,4,4,4,8,9,13,15
3 is Q1
4 is Q2 (median)
9 is Q3
The upper quartile for the given data set is 3.
What are quartiles?In statistics, a quartile is a type of quantile which divides the number of data points into four parts, or quarters, of more-or-less equal size. The data must be ordered from smallest to largest to compute quartiles; as such, quartiles are a form of order statistic.
Given is a data as given below -
1,1,3,4,4,4,8,9,13,15
The first quartile Q1 is the 25th percentile. It is also called as the upper quartile. So, we can say that that the upper quartile is 3.
Therefore, the upper quartile for the given data set is 3.
To solve more questions on quartiles, visit the link-
https://brainly.com/question/9260741
#SPJ2
someone help me answer this!!
Answer:
30 ft is the answer.
Step-by-step explanation:
a = 24 ft
b = 18 ft
c = ?
According to the Pythagoras theorem,
a² + b² = c²
24² + 18² = c²
576 + 324 = c²
c² = 900
c = 30 ft
∴ The opposite corners of the living room are 30 ft apart.
-2x-3y=-7
y+1=x
solve for y and x
Answer:
x = 2 and y = 1
Step-by-step explanation:
First, solve for y by substituting the second equation as x into the first equation
-2x - 3y = -7
-2(y + 1) - 3y = -7
Simplify and solve for y
-2y - 2 - 3y = -7
-5y - 2 = -7
-5y = -5
y = 1
Solve for x by plugging in 1 into the second equation
y + 1 = x
1 + 1 = x
2 = x
So, the answer is x = 2 and y = 1
3.The probability of drawing a pearl bead out of a bag of mixed beads is 2/3. What is the probability of drawing a bead which is NOT pearl?
Answer:
1_2/3
=1/3 or 0.33
Step-by-step explanation:
Probability is not more than 1..
help i'll give brainlyest
what do you need help with T~T
6. There are 424 students at Scobey Middle School. About how many can
be expected to prefer chocolate chip cookies?
At an online sports store, Jeremy bought 5 of the same pairs of shorts for him and his friends. He got free shipping because his total was at least $120. What was the minimum price of each pair of shorts? Write and solve an inequality to represent the situation.
Plz help no file
Answer:
24
Step-by-step explanation:
I'm pretty sure that it would be division so 120 divided by 5 is 24
PLEASE HELP ME!!!!!!!!!!!
Answer:
I'm not sure
Step-by-step explanation:
Rewrite as an exponential equation.
In7 = y
B 1. Inscribe a circle in triangle ABC
Answer:
The circle should appear inside the triangle.
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<DEC and <IHJ
Step-by-step explanation:
Alternate exterior angles are angles on the other side of a transveral and on the exterior area.
HELP PLS ANSWER THIS CORRECTLY PLEASE YOU'LL GET 50+ BRAINLIEST POINTS AND CROWN BRAINLIEST PLEASE
Answer:
Susie is correct because the function is y = x²
Use the following image to multiply.
5/8 of 4 =
Answer:
2.5
Step-by-step explanation:
Answer:
[tex]2\frac{1}{2}[/tex] or 2.5
Step-by-step explanation:
[tex]\frac{5}{8}*4\\ \\ =\frac{5}{8}*\frac{4}{1} \\ \\ =\frac{5*4}{8*1} \\ \\ =\frac{20}{8} \\ \\ =\frac{5}{2} \\ \\ =2\frac{1}{2} or 2.5[/tex]
An airplane takes 3 hours to travel a distance of 1560 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind.
Answer:
it takes 3 hour
Step-by-step explanation:
ypir welcome
is (5,2) a solution of x-y≤0
Answer:
No.
Step-by-step explanation:
x - y ≤ 0
(5, 2)
5 - 2 ≤ 0
3 ≤ 0 is false, so the answer is no.
Answer: No
Evaluate the radical expression. Express your answer in simplified form. If the expression does not represent a real number, indicate, not a real number.
Answer:
-10
Step-by-step explanation:
Answer:
- 10
Step-by-step explanation:
- √100
= - 10
( - 10 is a real number )
2 questions for math
Answer:
x = -24
a = 11
Step-by-step explanation:
So for the first one:
[tex]-\frac{1}{4} x+6=\frac{2}{3} x+28[/tex]
Multiply both sides of the equation by 12
[tex]-3x+72=8x+336[/tex]
Subtract 8x from both sides
[tex]-11x+72=336[/tex]
Subtract 72 from both sides
[tex]-11x=264[/tex]
Divide both sides by -11
[tex]x=-24[/tex]
And the second one...
[tex]2(a-2)=3(a-5)[/tex]
Distribute the 2 to the (a - 2) and the 3 to (a - 5)
[tex]2a-4=3a-15[/tex]
then add 15 to both sides
[tex]2a+11=3a[/tex]
Subtract 2a from both sides
11 = a