The mean waiting time at the drive-through of a fast food from the time the order is placed to the time the order is recieved is 84.3 seconds. A manager devises a new drive-through system that he believes will decrease the wait time. To test his claim, he initiates the new system at his restaurant and measures the wait time for 45 randomly selected orders and finds the sample mean to be 81.9 and a sample standard deviation of 17.3.
1. Has the wait time significantly decreased?
2. Write the appropriate hypothesis statements for this test.
3. Also what is the t-test and p-value?

Answers

Answer 1

Answer:

1.) No ;

2.) - 0.931

3.) 0.1785

Step-by-step explanation:

Given :

μ = 84.3 ; xbar = 81.9 ; s = 17.3

H0 : μ = 84.3

H1 : μ < 84.3

The test statistic :

(xbar - μ) ÷ (s/√(n))

(81.9 - 84.3) / (17.3/√45)

-2.4 / 2.5789317

= - 0.9306

= - 0.931

Using the test statistic, we could obtain the Pvalue : df = n - 1 ; df = 45 - 1 = 44

Using the Pvalue calculator :

Pvalue(-0.9306, 44) = 0.1785

Using α = 0.05

The Pvalue > α

Then we fail to reject H0; and conclude that there is no significant evidence to support the claim that the mean waiting time is less than 84.3


Related Questions

Jalen plots two integers on a horizontal number line. The leftmost integer is negative. Which must be true of the second integer

Answers

Answer:

The second integer is greater than the first.

Step-by-step explanation:

Since the first integer is the leftmost out of the two, this means that the second one must be greater than the first since it is to the right of it.

Answer:

c

Step-by-step explanation:

LM is the midsegment of ABC is AC is 28 centimeters long , how long is LM?

Answers

Answer:

LM = 14

Step-by-step explanation:

LM = AC/2

LM = 28/2

LM = 14

Hope this helps!

The measure of LM is 14 cm.

What is Mid - segment?

A triangle midsegment is a line segment that connects the midpoints or centres of two opposite or adjacent triangle sides.

The midsegment theorem asserts that a line segment connecting the midpoints of any two sides of a triangle is parallel to and half of the third side.

According to mid segment is

LM = AC/2

We have AC = 28 cm

Now, substitute the value of AC we get

LM = 28/2

LM = 14

Thus, the measure of LM is 14 cm.

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3. Basket A had 7 times as many plums as basket B at first. Zoe put 58 more plums in each
basket. Now Basket A has three times as many plums as basket B. How many more
plums are there in basket A than basket B now.​

Answers

Answer:

87 many more plums are there in Basket A than Basket B

Step-by-step explanation:

Before

N = 58/2

Basket A = N x 7 + 58

Basket B = N x 7

Now

Basket A = 29 x 7 + 58

= 261/3

= 87

Basket B =  29 x 7

= 203 + 58

= 261/3

= 87

Basket A and B has a difference of 87 Plums

:) Thank you!!

Express in the form 1: n.
Give n as a decimal.
16 : 12

Answers

Answer: n will be 4

Step-by-step explanation:

Graph the image of square CDEF after a reflection across the x-axis​

Answers

Answer:

If you have a general point (x, y), and you reflect it across the x-axis, the coordinates of the new point will be:

(x,-y)

So we only change the sign of the y-component.

Now, if we do a reflection across the x-axis of a whole figure, then we apply the reflection to all the points that make the figure.

Then, we could just apply the reflection to the vertices of the square, then graph the new vertices, and then connect them, that is equivalent to graph the image of the square after the reflection.

The original vertices are:

C = (-3, 7)

D = (0, 7)

E = (0, 10)

F = (-3, 10)

Now we apply the reflection, remember that this only changes the sign of the y-component, then the new vertices are:

C' = (-3, -7)

D' = (0, -7)

E' = (0, - 10)

F' = (0, - 10)

Now we need to graph these points and connect them to get the reflected figure, the image can be seen below.

Plz help me with is question, ill try to give brainliest

Answers

Answer:

[tex]\text{B. } (8,6)[/tex]

Step-by-step explanation:

In slope-intercept form [tex]y=mx+b[/tex]:

[tex]m[/tex] represents slope[tex]b[/tex] represents the y-intercept [tex](x,y)[/tex] represent the coordinates of any point the line passes through

In slope-intercept form, the equation for the table is given by [tex]y=x-2[/tex], and the equation for the second line is given by [tex]y=\frac{1}{4}x+4[/tex].

To find the point of intersection, set those two equations equal to each other and solve:

[tex]x-2=\frac{1}{4}x+4,\\x-2=0.25x+4,\\0.75x=6,\\x=8[/tex]

[tex]y=x-2,\\y=8-2,\\y=6[/tex]

Therefore, these two lines intersect [tex]\boxed{\text{B. (8,6)}}[/tex]

in a system of equations why is the intersection the solution

Answers

9514 1404 393

Answer:

  It satisfies both equations.

Step-by-step explanation:

The points on the graph of an equation are the values of the variables that satisfy the equation (make it true).

In a system of equations, you're generally looking for values of the variables that satisfy all of the equations in the system. That is, the solution will be a point on the graph of every equation in the system.

For a point to be on more than one graph, it must lie at a point of intersection of the graphs. If all of the graphs of a system go through the point of intersection, that point satisfies all of the equations, so is a solution of the system of equations.

y= 2x + 1
y = -3x +6

Solve the solution to this system of linear equations

(Please help)

Answers

Answer:

yeahh, i'm proud of you

Step-by-step explanation:

Easy question 34.8 + 6.879 =?

Answers

Answer: Easy Answer: 41.679

Step-by-step explanation:

23 points help plzzz

Which number is an integer?

O -3/4
O 1/5
O 2
O 4 2/3

Answers

The answer is 2 ez.

Answer:

2

Step-by-step explanation:

hope i helped :))

Express tan J as a fraction in simplest form

Answers

Answer:

Tan J = 3/4

Step-by-step explanation:

Recall, SOH CAH TOA

TOA means:

Tan J = Opp/Adj

Reference angle = <J

Opposite = 15

Adjacent = 20

Plug in the vakues

Tan J = 15/20

Simplify

Tan J = 3/4

What is the thirteenth number in the Fibonacci sequence

Answers

Answer:

The 13th number in the Fibonacci sequence is 144.

Step-by-step explanation:

The sequence from the first to the 13th number is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

[tex]\huge\boxed{\sf 144}[/tex]

A series of integers known as the Fibonacci sequence begins with a zero, is followed by a one, another one, and then a series of increasing numbers. Each number in the series equals the sum of the two numbers before it. Every succeeding pair of Fibonacci numbers has a quotient resembling the golden ratio.

[tex]\sf 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, \boxed{144}, 233, 377,...[/tex]

i have 6 eggs, i broke 2, i cooked 2, and i ate 2, so how many are left?​

Answers

Answer:

I can't tell if this is a joke or not haha but you would have four eggs left because you broke two, cooked and ate the same two eggs.

if the equation 2x^2+ bx+ 5=0 has no real solutions, which of the following must be true A. b^2 < 10 B. b^2> 10 C. b^240​

Answers

Answer:

C. b²< 40

Step-by-step explanation:

2x²+ bx + 5=0 has no real solutions

=> D< 0

b² < 4ac

b²< 4(2)(5)

b²< 40

Solve for t, 0 < t < 27.
21 sin(t)cos(t) = 12 sin(t)​

Answers

Answer:i

Step-by-step explanation:i

The following are the last 10 run scores Colin got in cricket:
34, 26, 11, 9, 20, 19, 31, 6, 33, 35
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 29 runs.
What is his new mean score?
Give your answers as decimals.
HELPPPO

Answers

Answer:

a)18.8

b)20

Step-by-step explanation:

Basically, you have to add all the numbers from the data set (188) then divide them by 10 and that equals 18.8

The second part you have to add 32 to 188 ( which equals 210) and that by 11 which equals 20

Ray invested $300 in Stock A
and $750 in Stock B. Since then,
the value of Stock A has increased
by 15% each year and the value of
Stock B has decreased by 12% each
year. After 4 years, which statement
is true regarding the value of
his investments?
A) Stock A is worth $55.15 more than Stock B.
(they won a radio contest)
B) Stock A is worth $74.93 more than Stock B.
(they are best friends)
C) Stock B is worth $55.15 more than Stock A.
(they wanted to get attention)
D) Stock B is worth $74.93 more than Stock A.
(they were training for a marathon)
CADRUG

Answers

Answer:

i think its b

Step-by-step explanation:

el vector desplazamiento de un objeto en movimiento inicialmente en el origen tiene una magnitud de 12.5 cm y está en un ángulo de 210 grados en relación con el eje de las x en determinado instante Cuáles son las coordenadas del objeto en ese instante ? una pelota rueda con velocidad constante a 2.40 m por segundo con un ángulo de 37 grados en relación al eje de las x del cuadro cuadrante si sabemos que la pelota está en el origen en tiempo igual iniciar cuáles son sus coordenadas x 1.75 segundos

Answers

Answer:

hey mate

which laungage is this

Why is this graph proportional?

Answers

Answer:

The graph represents a linear function that passes through the origin.

Step-by-step explanation:

Proportional functions can be represented by [tex]y=kx[/tex], where [tex]k[/tex] is some constant. They form a straight line that always pass through the origin (0,0). We can see all these characteristics in the graph, thus the graph is proportional.

Pythagorean Theorem
A rectangular park is 8 miles long and 6 miles wide. How
long is a pedestrian route that runs diagonally across the
park?
In this discussion, you will need to provide the solution
to the problem explaining the intermediate steps you
used in the process.

Answers

Answer:

10 miles

Step-by-step explanation:

The Pythagorean Theorem states a^2+b^2=c^2

So, (8^2)+(6^2)=c^2

64+36=100

Square root of 100=10

what is the vertex of y=x²+14x-9 ​

Answers

the vertex of y=x^2+14x-9 is
answer: (-7,-58)
(-7,-58) is the correct choice for u

Please I need help and thx
please show how you did it

Answers

Answer:

1.) 9.2

2.)

625

633

the dealer

8.81

Step-by-step explanation:

I'm gonna assume that cm= compounded monthly

1.)

effective rate: .153/12= .01275

x= payments

[tex]2590.67=300*\frac{1-(1+.01275)^{-x}}{.01275}\\.110103476=1-1.01275^{-x}\\.889896525=1.01275^{-x}\\\log_{1.01275}.889896525=-x\\x=9.207[/tex]

2.)

If there is no interest rate attached to financing through the deal the payment is just

37500/60 = 625

The monthly payment from the bank has a present value of 37500-3000=34500

and the effective rate is .039/12= .00325

[tex]34500=x\frac{1-(1.00325)^{-60}}{.00325}\\34500=54.43234738x\\x=633.81[/tex]

Finally, the amount we save is just the difference

633.81-625=8.81

Answer:

1.) 9.2

2.)

625

633

the dealer

8.81

Step-by-step explanation:

I'm gonna assume that cm= compounded monthly

1.)

effective rate: .153/12= .01275

x= payments

\begin{gathered}2590.67=300*\frac{1-(1+.01275)^{-x}}{.01275}\\.110103476=1-1.01275^{-x}\\.889896525=1.01275^{-x}\\\log_{1.01275}.889896525=-x\\x=9.207\end{gathered}

2590.67=300∗

.01275

1−(1+.01275)

−x

.110103476=1−1.01275

−x

.889896525=1.01275

−x

log

1.01275

.889896525=−x

x=9.207

2.)

If there is no interest rate attached to financing through the deal the payment is just

37500/60 = 625

The monthly payment from the bank has a present value of 37500-3000=34500

and the effective rate is .039/12= .00325

\begin{gathered}34500=x\frac{1-(1.00325)^{-60}}{.00325}\\34500=54.43234738x\\x=633.81\end{gathered}

34500=x

.00325

1−(1.00325)

−60

34500=54.43234738x

x=633.81

Finally, the amount we save is just the difference

633.81-625=8.81

In the equation 2x+4=y, what is the value of y when x=5?

Answers

9514 1404 393

Answer:

  y = 14

Step-by-step explanation:

Put the value of x where x is and do the arithmetic.

  2x + 4 = y

  2·5 + 4 = y . . . . . . substitute for x

  10 + 4 = y . . . . . . . multiply

  14 = y . . . . . . . . . . add

The value of y is 14 when x = 5.

Identifying a Proportional Relationship in a Table
Which takle represents a proportional relationship?
x
y
4
*
.
09
y
8
5
2
12
7
18
20
26
12
28
60
84
18
20

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

A proportional relationship is one in which the ratio of y to x is a constant for all non-zero values of x and y.

Of the tables shown here, this is the case only for the one shown below. It has ...

  y = 1.4x

Answer:

The middle one

Step-by-step explanation:

The middle one

y = (7/5)x

 x       y

 5      7

20    28

60    84

Determine whether the function is linear or quadratic.
y = (x + 1)(8x - 8) - 8x2
a) Linear
b) Quadratic

Answers

Answer:

it's a linear

since when you expand the equation (x+1)(8x-8) the x is equal to zero which is left for y to be the subject

8x²-24= y

It represents the set of traits, competencies and values an individual would like to possess.

a. Perceived Self

b. The Ideal Self

c. Self-Identities

d. Self Esteem​

Answers

Answer:

The correct answer is - d. Self Esteem​

Explanation:

Self-esteem is how we value and perceive ourselves. It based on the believes and opinions we make for ourselves. It represents various traits and characteristics such as self-confidence, identity, feeling of belonging, and competency.

Values are the principle or opinions we make to follow and values provide a sense of identity and uniqunessgive you a clearer sense of self, meaning, more energy, focus, and self-esteem.

The option that represents the set of traits, competencies and values an individual would like to possess is;

Option B; The Ideal Self

Let us access all the given options;

Option A; Perceived self is simply defined as how an individual sees himself or herself.

Option B; The Ideal Self is defined as how an individual would like himself or herself to be. This means such an individual will wish he or she possessed certain traits or values.

Option C; Self Identities are simply how individuals identify and define themselves. For example an athlete, a Pastor, a doctor, a lecturer e.t.c.

Option D; Self esteem is simply defined as the worth or value individuals place on themselves

      Looking at the definitions above, in conclusion we can see that the only one that fits the description given in the question is The Ideal Self.

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Find the volume of the cubes or rectangular prisms in cubic centimeters.

Answers

Answer:1st cube 2nd box 2nd cube 3rd box 4th cube 1st box and 1st cube 1st box

Step-by-step explanation:

The asked volumes are 36/125 cm³, 6/125 cm³, 1/125 cm³ and 8/125 cm³

What is volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Given are dimensions of cuboid and cubes, we are asked to find their volumes.

We know that, volume of cube = side³

Volume of cuboid = length · width · height

1) Dimensions of the cuboid = 3/5, 4/5, 3/5

Volume = 3/5×3/5×4/5 = 36/125 cm³

2) Dimensions of the cuboid = 1/5, 2/5, 3/5

Volume = 1/5×2/5×3/5 = 6/125 cm³

3) Side of the cube = 1/5 cm

Volume = (1/5)³ = 1/125 cm³

4) Side of the cube = 2/5 cm

Volume = (2/5)³ = 8/125 cm³

Hence, the asked volumes are 36/125 cm³, 6/125 cm³, 1/125 cm³ and 8/125 cm³

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What is the y intercept of the function f (x) = -2/9x + 1/3 ?? Please help ! :0 :)

Answers

y intercept of the function f (x) = -2/9x + 1/3

is

[tex] \frac{1}{3} [/tex]

OPTION C

Margo borrows $1600, agreeing to pay it back with 3% annual interest after 11 months. How much interest will she pay?

Round your answer to the nearest cent, if necessary.

Answers

Answer:

Margo will pay $ 44 in interest.

Step-by-step explanation:

Given that Margo borrows $ 1600, agreeing to pay it back with 3% annual interest after 11 months, to determine how much interest will she pay, the following calculation must be performed:

3/12 x 11 = 0.25 x 11 = 2.75

1600 x 1.0275 = X

1644 = X

1644 - 1600 = 44

Therefore, Margo will pay $ 44 in interest.

What is the value of x?

Answers

Answer:

x=15 degree

Step-by-step explanation:

5x +5+6x -1+3x+5x+3+4x+8 =360 degree (exterior angles of pentagon is 360 degree)

23x +15 =360

23x=360-15

x=345

x=345/23

x=15 degree

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