With individual lines at the checkouts, a store manager finds that the standard deviation for the waiting times on Monday mornings is 5.7 minutes. After switching to a single waiting line, he finds that for a random sample of A customers, the waiting times have a standard deviation of B minutes.
a) Use a 0.025 significance level to test the claim that with a single line, waiting times vary less than with individual lines.
Answers
Answer:
Step-by-step explanation:
Complete Question
With individual lines at the checkouts, a store manager finds that the standard deviation for the waiting times on Monday mornings is 5.7 minutes. After switching to a single waiting line, he finds that for a random sample of A customers, the waiting times have a standard deviation of B minutes.
a) Use a 0.025 significance level to test the claim that with a single line, waiting times vary less than with individual lines.
If we let italic sigma be the population standard deviation of waiting times for a single line, what are the hypotheses for this test?
Use the traditional method to test the claim. Assume the population of waiting times is normally distributed.
Calculate the test statistic for this test, italic chi to the power of 2 . Round your answer to three digits to the right of the decimal point.
What is the critical value for this left-tailed test? Round your answer to three digits to the right of the decimal point.
Based on the critical value and test statistic, should the null hypothesis be rejected?
Since the claim is the alternative hypothesis, what final conclusion can you draw from this test?
1) Null and Alternative hypothesis
Null hypothesis: H₀ = 5.7
and Alternative hypothesis: H₁ < 5.7
2) Test Statistic
[tex]x^2=\frac{(n-1)s^2}{\sigma^2}[/tex]
where s is the standard deviation = 4.9
n sample size = 29
[tex]=\frac{28 \times 4.9^2}{5.7^2} \\\\=20.692[/tex]
complete solution is detailed in the image
Related Questions
Find the distance between the points (-2, 3) and (5, -1). Round to the nearest
tenth.
Answers
Answer:
8.062258
Step-by-step explanation:
d = 8.062258
For:
(-2, 3)
(5, -1)
Distance Equation Solution:
d=√(5−(−2))2+(−1−3)2
d=√(7)2+(−4)2
d=√49+16
d=6–√5
I belive the answer is
d=8.062258
If the triangle's sides are a base that is 4 inches, a height that is 3 inches, and the other side that is 5 inches, what is the area of that triangle?
Answers
Answer:
6 in ^2
Step-by-step explanation:
divide side lengths by two and add those numbers
In a new experimental teaching method, when students have questions in class, they send them to the instructor via a laptop computer. From time to time, the instructor pauses to read the questions and to provide the answers, without revealing the identities of the students who are asking the questions. This new method is supposed to eliminate the reluctance of students to ask questions for fear of revealing their lack of understanding in public. In a study of this new method, 69 male students and 73 female students participated. Treat these as if they were simple random samples. Of the male students, 38 said that they liked the new method better than the traditional one in which students raise their hands to ask questions. Of the female students, only 20 said they liked the new method better
(a) Construct a 95% confidence interval for the difference between the proportions of male and female students who like the new method better. Let p1, denote the proportion of male students who like the new method better and let p2 denote the proportion of female students who like the new method better.
(b) A 95% confidence interval for the difference between the proportions of male and female students who like the new method better is __________.
Answers
Answer:
a) (0.124, 0.435)
b) I am 95% confident that the proportion difference is between 0.124 and 0.435
Step-by-step explanation:
Given that:
For male students: number of male students ([tex]n_m[/tex]) = 69, number who liked the new method (x) = 38
For female students: number of female students ([tex]n_f[/tex]) = 73, number who liked the new method (x) = 20
a) The probability that a male student like the new method ([tex]P_1[/tex]) is given as:
[tex]P_1=\frac{38}{69} =0.55[/tex]
The probability that a female student like the new method ([tex]P_2[/tex]) is given as:
[tex]P_2=\frac{20}{73} =0.27[/tex]
c = 95%, α = 1 -c = 0.05
[tex]z_{\frac{\alpha }{2} }=1.96[/tex]
the difference between the proportions of male and female students who like the new method better = [tex]P_1-P_2[/tex] ± [tex]z_{\frac{\alpha }{2} }\sqrt{\frac{P_1(1-P_1)}{n_m} +\frac{P_2(1-P_2)}{n_f}}[/tex] = [tex]0.55-0.27[/tex] ± [tex]1.96\sqrt{\frac{0.55(1-0.55)}{69} +\frac{0.27(1-0.27)}{73}}[/tex] = (0.124, 0.435)
b) I am 95% confident that the proportion difference is between 0.124 and 0.435
Let a, b, and c be real numbers where ab*C0. Which of the following functions could represent the graph below?
AN
Answers
Answer:
A on ed
Step-by-step explanation:
Dada la siguiente ecuación y= 4x +3
Graficar la ecuación (Utilice tabla)
Encontrar la pendiente de la ecuación (utilice la siguiente fórmula m=(y_2y_1)/(x_2-x_1 ))
Encontrar el ángulo de inclinación (utilice la siguiente fórmula α=arc tanm)
Dada la siguiente ecuación y= -4x -2
Graficar la ecuación (Utilice tabla)
Encontrar la pendiente de la ecuación (utilice la siguiente fórmula m=(y_2y_1)/(x_2-x_1 ))
Encontrar el ángulo de inclinación (utilice la siguiente fórmula α=arc tanm)
Answers
Answer:
The given equation is
[tex]y=4x+3[/tex]
To graph this equation, we need to create a table for all the coordinates pairs.
X Y
0 3
-3/4 0
So, we have two points, (0,3) and (-3/4, 0). Now, we graph them to draw a straight line as the image attached shows.
To find the slope, we use those points.
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{0-3}{-\frac{3}{4} -0} =\frac{-3}{-\frac{3}{4} }\\ m=4[/tex]
So, the slope is 4.
The angle of inclination is found by the formula
[tex]tan \theta = m[/tex]
Where [tex]\theta[/tex] is the angle and [tex]m[/tex] is the slope.
[tex]\theta = tan^{-1}(4) \approx 76\°[/tex]
Therefore, the angle of inclination is 76°, approximately.
Write equations for the horizontal and vertical lines passing through the point , (4,5).
Answers
Answer:
Answer is below
Step-by-step explanation:
The equation for the horizontal line is x = 4. The equation for the vertical line is y = 5.
I graphed the lines on the graph below to show you that they intersect at the point (4,5).
If these answers are correct, please make me Brainliest!
What is the equation of the line that passes through (4, 2) and is parallel to 3x - 2y = -6?
A.
3
y=--x+8
2
B.
3
y = -x-4
2
C.
y = -X
2
D.
2
y = -x-4
3
Answers
Answer:
Unfortunately I can't read your answer options properly. The copied text is just too messed up. But hopefully the step-by-step calculation will help you.
Lemme know if it worked for you and if you have further questions.
Step-by-step explanation:
3x - 2y = -6
can be rewritten as
2y = 3x + 6
or simpler
y = 1.5x + 3
we know that it's parallel to this line, but we don't know how much lower or higher the new line will be, so let's set "+3" as an unknown variable.
y = 1.5x + b
(the letter b is now what we try to solve for)
now let's plug in the x-/y-Informations of the given point
2 = 1.5 * 4 + b
2 = 6 + b
-4 = b
so the new line is
y = 1.5x -4
(the given point lies on that line and it's parallel to the other line)
let's multiply everything by two to get closer to the original format
2y = 3x -8
it could also be expressed as
2y = -(-3x+8)
(in hope that this may help for choosing an answer option)
please clean up the text of questions before posting next time
(would really appreciate the brainliest)
PLEASE HELP ITS FOR MATH
Answers
The answer is b. none. This is because the lines are parallel and therefore do not intersect at a point, meaning that there are no solutions.
Rearrange the equation so u is the independent variable.
-12u + 13 = 8w - 3
w = __
Answers
Answer: w = -3u/2 + 2
Step-by-step explanation:
-12u + 13 = 8w - 3
-12u + 13 + 3 = 8w -3 + 3
-12u + 16 = 8w
w = -3u/2 + 2
A hiker is told to carry 2 cups of water for every 10 minutes spent walking. The hiker plans to hike for 60 minutes. How many cups of water should the hiker carry?
Answers
Answer:
12
Step-by-step explanation:
2 x 6 = 12
The number of cups of water the hiker should carry is 12 cups.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, a hiker is told to carry 2 cups of water for every 10 minutes spent walking.
Now, number of cups of water carry for 1 minute
= 2/10
= 0.2 cups
The number of cups of water carry for 60 minutes
= 0.2×60
= 12 cups
Therefore, the number of cups of water the hiker should carry is 12 cups.
To learn more about the unitary method visit:
brainly.com/question/22056199.
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What’s the correct answer for this questions?
Answers
Answer:
B = 6√10
Step-by-step explanation:
In the attached file
Kelly contracts with Raphael for Raphael to bring a pony to her daughter's birthday party in exchange for $100. Kelly later learns her daughter is frightened of ponies. She contacts Raphael and Raphael agrees to bring a donkey to the party for $50 instead. What is true of the original agreement involving the pony and the $100?
Answers
Answer:
It was discharged by substituted contract
Step-by-step explanation:
In this situation, instead of simply canceling their original contract and terminating their interaction, Raphael and Kelly reached another agreement and stablished a substituted contract in place of the original one.
Therefore, the original agreement involving the pony and the $100 was discharged by substituted contract .
A crime is committed by one of two suspects, A and B. Initially, there is equal evidence against both of the suspects. After further investigation, it is determined that the guilty party has a blood type found in only 10% of the population at large. Suspect A does have this blood type; the blood type of Suspect B is unknown.
Define the following 3 events A, M and C.
A: "A is guilty" (Thus ° denotes "B is guilty')
M: "A’s blood type matches that of the guilty party"
C: "B's blood type matches that of the guilty party"
A. The police reported that suspect A is not a relative of suspect B. Is it reasonable to set P( MA)=P(C|A)=10%? Why?
B. Assume that P(MAC)=P(C|A)=10%. Given the information from the further investigation of the crime scene, what is the probability that A is the guilty party?
C. Assume that P( MA)=P(C/A)=10%. Given the information from the further investigation of the crime scene, what is the probability that B’s blood type matches that of the guilty party?
Answers
Answer:
a) MA conditional with C can be interpreted as A which is known and C which is unknown match
b) 10/11
c) 2/11
Step-by-step explanation:
A={A is the guilty party}
[tex]M_A[/tex] = {A blood type matches that of the guilty party}
C = {B is the guilty party}
[tex]M_C[/tex] = {B blood type matches that of the guilty party}
a) The chance is 10% because MA conditional with C can be interpreted as A which is known and C which is unknown match
b) the probability that A is the guilty party is given by [tex]P(A/M_A)[/tex]. Using bayes theorem:
[tex]P(A/M_A)=\frac{P(M_A/A)P(A)}{P(M_A/A)P(A)+P(M_C/C)P(C)} =\frac{1*1/2}{(1*1/2)+(1/10*1/2)} =\frac{10}{11}[/tex]
c) the probability that B’s blood type matches that of the guilty party is given as [tex]P(M_C/M_A)[/tex]. Using LOTS Therefore:
[tex]P(M_C/M_A)=P(M_C/M_A,A)P(A/M_A)+P(M_C/M_A,A)P(C/M_A)=\frac{1}{10}*\frac{10}{11} +1*\frac{1}{11} =\frac{2}{11}[/tex]
Which choice is equivalent to the expression below?
28.24
O A. 28 + 22/10 + 24/100
O B. 28+ 2/10 + 4/10
O C. 28. 22/10. 24/100
O D. 28. 224/10
Answers
Answer:
C
Step-by-step explanation:
Please answer this correctly
Answers
Answer:
The answer is 19.
Step-by-step explanation:
Because the 10 is 6 more than the 4, we subtract 6 from 25 (because they said that they were similar).
Which ordered pair would form a proportional relationship with the points in the graph? (4, 4) (6, 9) (9, 6) (8, 5)
Answers
Answer:the answer is 9,6
Step-by-step explanation:
I JUST TOOK THE QUIZ
Answer:
C (9,6) did it on edge
The jar shown below is 2/5 filled with water. If 750 ml more water is poured into the jar, it becomes full. What is the capacity of the jar?
2/5 is the fraction 2/5
Plz answer fast with easy explanation
Answers
Answer:
1250 ml
Step-by-step explanation:
Answer:
I’m glad you asked!
Step-by-step explanation:
2/5 + 750 ml equals the full jar amount or capacity.750/ 3 equals 250.That makes 150 the denominator.Now we just need to multiply 250 by 5.
[tex]250 x 5 = 1250.[/tex]
A recipe calls for 33 teaspoons orange juice. A can of orange juice is 17 fluid ounces. How many teaspoons of juice are in the can?
Answers
Answer:
102
Step-by-step explanation:
1 fluid ounce = 6 teaspoons
If A and B are independent events and P (A) and P(B) are both greater than 1/2 then P(A and B) is Greater than 1.
Answers
Answer:
Step-by-step explanation:
no
as
P(A∩B)=P(A)×P(B)
and P(A)>1/2
also
P(A)≤1
similarly P(B)>1/2
and
P(B)≤1
P(A)×P(B)≤1
so P(A and B) not greater than 1
If G is the midpoint of
FH,
find FG.
Answers
Answer:
15
Step-by-step explanation:
15 is the answer because i looked it up
The required value of segment FG is 67 if G is the midpoint of FH.
What is a Line Segment?A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment FH, where the length of line segment FHrefers to the distance between its endpoints, F and H.
Given that G is the midpoint of FH
FG = 14x + 25 and GH= 73 - 2x,
To determine the value of FG
F______________G______________H
⇒ FH= FG+ GH
Since G is the midpoint of FH, SoFG = GH
⇒ FH = FG+ GH
⇒ FH = 2FG
⇒ FG = GH
Substitute the values of FG = 14x + 25 and GH = 73 - 2x,
⇒ 14x + 25 = 73 - 2x
⇒ 14x + 2x = 73 - 25
⇒ 16x = 48
⇒ x = 48/16
⇒ x = 3
Substitute the value of x = 3 in FG,
⇒ FG = 14x + 25
⇒ FG = 14(3) +25
⇒ FG = 67
Hence, the required value of segment FG is 67 if G is the midpoint of FH.
Learn more about the line segment here:
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The question seems to be incomplete the correct question would be
If G is the midpoint of FH,
find FG.
Where FG = 14x + 25 and GH= 73 - 2x,
PLEASEeEeEeEeEeEeeEeEeEeEeEeEeEeEeEeEeeeEeEeEeEeEeEeEeEeEEEeee
ANSWER NOW
Answers
Answer:
a
Step-by-step explanation:
Anyone can solve this
G = 3t2 - 5t + 6
P = -8t2 + 7t - 9
G + P =
Your answer should be a polynomial in standard form.
Answers
Answer:
-5t^2+2t-3
Step-by-step explanation:
3/4 + ( 1/3 divided by 1/6 ) - (-1/2)
Answers
Answer:
3.25
Step-by-step explanation:
If you double the lengths of a rectangle what can you say about the new area of it.
A: The area is half its original size
B: The area of the new rectangle is double its original size
C: The area of the new rectangle is four times it original size
D: The area of the new rectangle is eight times the original size.
Answers
Answer:
B
Step-by-step explanation:
because u increased it by 2x
If (x + 8) is a factor of f(x), which of the following must be true?
GOF
Both x = 8 and x = 8 are roots of f(x).
Neither x = -8 nor x = 8 is a root of f(x).
F-8) = 0
f(8) = 0
Answers
Answer:
f(-8) = 0Step-by-step explanation:
If (x+8) is a factor of f(x), then for some expression p, we have ...
f(x) = (x+8)p
Evaluated at x=-8, this gives ...
f(-8) = (-8+8)p = 0p
f(-8) = 0 . . . . must be true
_____
Similarly, f(8) = (8+8)p = 16p. This may or may not be zero, depending on the factors of p. The only offered statement that must be true is the one shown above.
Answer:
F-8)= 0 hope this helps!!!!!
Step-by-step explanation:
How much wood will Moritz need to create his ramp?
Moritz is creating a wooden ramp with the given
dimensions. The ramp will not need a bottom face.
ft2
5 ft
3 ft
4 ft
6 ft
5 ft
6 ft
3 ft
4 ft
Answers
Answer:
60 ft
Step-by-step explanation:
got it right
Answer:
60
Step-by-step explanation:
There are seven black socks, eight blue socks, 10 white socks, and five patterned socks in the drawer. What is the probability of pulling a blue sock, replacing it, and then drawing a patterned sock out of the drawer?
Answers
Answer:
2/45
Step-by-step explanation:
Total socks:
7 + 8 + 10 + 5 = 30
P(blue) × P(patterned)
8/30 × 5/30
4/15 × 1/6
2/45
Answer:
2/45
Step-by-step explanation:
The total number of socks is 7+8+10 +5
30
P(blue) = number of blue socks / total
= 8/30 = 4/15
Then we replace it so we have the same number of socks
P(patterned) = number of patterned socks / total
= 5/30 = 1/6
P(blue, replace/patterned) = 4/15*1/6
=2/45
What is the slope and the y-intercept of the line on the graph below?
Answers
Answer:
I love you sweetheart I want to look and love you
Answer:
slope- 1/4
y intercept- 1
Find the balance earned on an account that has $60,000 deposited for 6 years at 1.125% interest compounded continuously? Please help
Answers
Answer:
The balance of the account is $64,190.
Step-by-step explanation:
The amount of money after t years of continous compounding is given by the following equation:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial deposit and r is the interest rate, as a decimal.
$60,000 deposited for 6 years at 1.125% interest compounded continuously.
This means that [tex]P = 60000, r = 0.01125, t = 6[/tex]
So
[tex]P(6) = 60000e^{0.01125*6} = 64190[/tex]
The balance of the account is $64,190.
Here are ten numbers
3 ,7,2,4,7,5,7,1,8,8
(a) write down the mode
(b) Work out the median
(c) Calculate the mean
(d) What is the range ?
Answers
Answer:
Mode:7
Median:2
Mean:5.2
Range:7
Step-by-step explanation:
see the picture attached
The mode of the given series is 7, the median of the given series is 5 and 7, the mean of the given series is 5.2, and the range of the given series is 7.
Given :
Numbers -- 3, 7, 2, 4, 7, 5, 7, 1, 8, 8
a) Mode is the number that repeats in the series maximum time. Therefore, the mode of the given series is 7.
b) The median of the given series is 5 and 7.
c) The formula of mean is used in order to determine the mean of the given series.
[tex]{\rm Mean} = \dfrac{3+7+2+4+7+5+7+1+8+8}{10}[/tex]
[tex]\rm Mean = \dfrac{52}{10}[/tex]
[tex]\rm Mean = 5.2[/tex]
d) The range of the given series is calculated as:
[tex]\rm Range = 8-1[/tex]
[tex]\rm Range = 7[/tex]
For more information, refer to the link given below:
https://brainly.com/question/300591