he response times for a random sample of 40 medical emergencies were tabulated. The sample mean is 13.25 minutes. The population standard deviation is believed to be 3.2 minutes. The EMS director wants to perform a hypothesis test, with a .05 level of significance, to determine whether the service goal of 12 minutes or less is being achieved.

Answers

Answer 1

Answer:

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

The EMS director wants to service goal of 12 minutes or less is being achieved

Step-by-step explanation:

Step(i):-

Given that the size of the random sample = 40

Given that the mean of the sample (x ⁻) = 13.25

Given that the standard deviation of the Population = 3.2 minutes

Level of significance = 0.05

The mean of the Population (μ) = 12

Step(ii):-

Null hypothesis:-H₀: (μ) = 12

Alternative Hypothesis: H₁ : μ < 12

Test statistic

                  [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

                  [tex]Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }[/tex]

                  Z = 2.5

The tabulated value Z₀.₀₅ = 1.96

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

Final answer:-

The EMS director wants to service goal of 12 minutes or less is being achieved


Related Questions

What is the volume of the following rectangular prism?

Answers

Answer: 2.76

Step-by-step explanation:

I wrote it down on paper :)

!!MATH!! !!100 POINTS!! !!WILL MARK BRAINLIEST!!

Answers

Answer:

PQO = 180

OQR = 180

PQR = 220

Step-by-step explanation:

brainliest

195 Ibs to kilograms​

Answers

Answer:

88.4505 kilograms

Step-by-step explanation:

Gina needs to buy a bathroom mirror that is 3 feet wide and 6 feet long. If the mirror sells for $3.00 per square foot, what will the total cost of the mirror be?

Answers

Answer:

$54

Step-by-step explanation:

beacuse 6x3=18 and 18x3=54 so your answer will be $54

sorry if im wrong mark me brainliest if im right

PLEASE HELPPP WITH THIS

Answers

Answer:

8 or D

Step-by-step explanation:

I say this because AD is 8 so im thinking it should be parallel and so the same would be for the opposite, AE.

Find the distance between the points ( – 4,10) and (8,10).

Answers

Answer:

12 units

Step-by-step explanation:

(-4 , 10)  ;  [tex]x_{1} = -4[/tex]   and  [tex]y_{1} = 10[/tex]

(8 ,10)  ;    [tex]x_{2} = 8[/tex]      and  [tex]y_{2}= 10[/tex]

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

              [tex]= \sqrt{(8-[-4])^{2}+(10-10)^{2}}\\\\=\sqrt{(8+4)^{2}+0}\\\\= \sqrt{12^{2}}\\\\= 12 units[/tex]

Graph the parabola.
y=-3x2 +6
PLEASE ANSWER quickly

Answers

Answer:

y = 12

Step-by-step explanation:

y = 3x2+6

   = 6+6

   = 12

y = 12

HELP ME PLEASE
15 points and brainliest if right

Answers

Step-by-step explanation:

area of a rectangle bh

4x7=28

7x9=63

9x4=36

the only rectangle that has an area equal to 28 is the 4x7 which is the front face and back face.

Hope that helps :)

Find an equivalent 100/25

Answers

Answer:

100/25 = 4

so an equivalent would be 12/3

Answer and Step-by-step explanation:

100 divided by 25 is equal to 4., or [tex]\frac{4}{1}[/tex].

That is equivalent to [tex]\frac{100}{25}[/tex].

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Mi Gusta

The radius of the inside circle is 8 inches. The radius of the larger circle is 4 inches more than the radius of the small circle.

What is the area in square inches of the shaded area? Use 3.14 for π and round your answer to the nearest whole number.

Answers

Answer:

Area of shaded region=2 ×3.14×R -2×3.14×r(where R is lager radius and r is smaller radius.)

Therefore area of shaded region=2×3.14×12 -2×3.14×8

=2×3.14(12-8)

=6.18 ×4

=24.72 inc^2

Step-by-step explanation:

whoever gets this correct first gets brainlest

Answers

Answer:

36°

Step-by-step explanation:

From the question,

The sum of the exterior angle of a polygon = 360

From the diagram. the polygon is Decagon

Note: A Decagon is a polygon with 10 sides.

number of sides = 10 .

The exterior angle of a regular polygon = sum of the exterior angle/number of sides.

Exterior angle = 360/10

Exterior angle = 36°

Hence the measure the single extrior angle = 36°

Which fraction is equal to ⅛?
⁴⁄₆ ⁴⁄₃₀ ²⁄₁₆

Answers

Answer:

2/16

Step-by-step explanation:

1/8 * 2/2 = 2/16

Answer:

2/16

Step-by-step explanation:

Hope this helped!!!

Please answer ASAP. Do not mind the purple thing.

Answers

Answer:

1 4

2 8

3 12

6 24

for next year, its 32

Step-by-step explanation:

cauz 8 divided by 2 is 4

Also since it goes up by four, 3 is 12 and 6 is 24

Solve the system of equations.
2.5y+ 3x = 27
5x-2.5y = 5
What equation is the result of adding the two equations?
What is the solution to the system?​

Answers

Answer:

The asnwer to the system of equation

x=4 y=6

Step-by-step explanation:

Answer:  1) 8x=32       2) (4,6)

Step-by-step explanation:

Hope this helps!

Mark me brainliest!

Pls and ty!

A local movie theater is trying to find the best price at which to sell popcorn. To reach its goal of making at least $50,000 from popcorn sales this year, the theater decided to hire a consulting firm to analyze its business. The firm determined that the best-case scenario for the theater’s revenue generated from popcorn sales, while meeting its revenue goals, is given by this system of inequalities, where r represents the revenue in tens of thousands of dollars and p represents the sale price of popcorn in dollars. Complete the statements about the system’s possible solutions. The point is of this system. The point is of this system.

Answers

The question is incomplete. The complete question is :

A local movie theater is trying to find the best price at which to sell popcorn To reach its goal of making at least 550,000 from popcorn sales this year, the theater decided to hire a consulting firm to analyze its business The firm determined that the best case scenario for the theater's revenue generated from popcorn sales, while meeting its revenue goals, is given by this system of inequalities, where r represents the revenue in tens of thousands of dollars and p represents the sale price of popcorn in dollars [tex]$r \leq -0.23p^2+2.25p$[/tex] and r ≥ 5 solutions Complete the statement( a viable solution, both a viable and a nomlable solution). The point (4,6) a nonviable solution The point (6,5) mola bouton of this system of this system.

Solution :

Total amount to be targeted by selling of popcorns in the movie theatre is 550,000.

A viable solution is one which has a definite meaning or definite solution to the question in context whereas a non viable solution does not have a definite relevant solution to the question.

In the context,

The point (4,6) is a non viable solution as it does not satisfy 1st inequality and only satisfies the second inequality.

The point (6,5) is a viable solution as it satisfies both the inequalities.

Answer:

The point of (4,6) is not a solution of this system/

The point of (6, 5) is a viable solution of this sytem

Step-by-step explanation:

Plato LIves Matter

tion
The graph shows a linear function and an exponential function. Compare and contrast the
two functions. Make sure to use vocabulary words.

Answers

The comparison of the functions is

The linear function has a slope of 50 and it is proportionalThe exponential function has a growth factor of 5/3 and an initial value of 1

How to compare and contrast the two functions

From the question, we have the following parameters that can be used in our computation:

The graph of the two functions

For the linear function, we have

y-intercept = 0

Rate = 50/1 = 50

So, the function is

y = 50x

For the exponential function, we have

y-intercept = 1

Rate = 250/150 = 5/3

So, the function is

y = (5/3)ˣ

Comparing the functions, we have

The linear function has a slope of 50 and it is proportionalThe exponential function has a growth factor of 5/3 and an initial value of 1

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If there have been twenty of the $5 coupons given away then how many bags of popcorn have been given away ?

Answers

Answer:

Can you explain your question more?

Find the probability that a randomly selected point within the circle falls in the white area

Answers

Answer:

67%

Step-by-step explanation:

out of 6 sections, 4 are white

therefore, 4/6 or 67% have a chance of landing in white areas

SUPER EASY QUESTION WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!!! (no links please
what is 11683.94 rounded to the nearest tenth.

Answers

11683.94 rounded to the nearest tenth is 11,683.9

What’s the work and answer for this? Someone please tell me

Answers

Answer:  14

Step-by-step explanation:

We arrange the number as -3,  1, 7, 8, 18, 19, 42, the old median is 8.

But the median has change to 11 when the number is add, which means that the number is between 7 and 18.

(8 + x)/2 = 11      Where x is the new number

8 + x = 22

x = 14

Subtract 8 1/6- 4 5/6 . Simplify the answer and write as a mixed number

Answers

hello! hope this helps you

Answer: 3 1/3

Step-by-step explanation: You change 8 1/6 to improper fraction which is 49/6 and change 4 5/6 to improper fraction which is 29/6. Next you take 49/6 and subtract 29/6 which is 20/6.After that you simplify 20/6 by divide both sides by 2 which gives you 10/3.Lastly change 10/3 to a mixed number which is 3 1/3.

Hope it helps :) and look at pic below.

(Valley Forge Income Tax Advice) VF is a small accounting firm supporting wealthy individuals in their preparation of annual income tax statements. Every December, VF sends out a short survey to their customers, asking for the information required for preparing the tax statements. Based on 24 years of experience, VF categorizes their cases into the following groups:
Group I (new customers, easy): 15 percent of cases
Group 2 (new customers, complex): 5 percent of cases
Group 3 (repeat customers, easy): 50 percent of cases
Group 4 (repeat customers, complex): 30 percent of cases
Here, "easy" versus "complex" refers to the complexity of the customer's earning situation.
[In order to prepare the income tax statement, VF needs to complete the following set of activities. Activity times (and even which activities need to be carried out) depend on which group a tax statement falls into. All of the following activity times are expressed in minutes per income tax statement.
Group Filling Initial meeting Preparation Review by Writing
senior accounting
1 20 30 120 20 50
2 40 90 300 60 80
3 20 no meeting 80 5 30
4 40 no meeting 200 30 60
The activities are carried out by the following three persons:
Administrative support person: fi ling and writing.
Senior accountant (who is also the owner): initial meeting, review by senior accountant.
Junior accountant: preparation
Assume that all three persons work eight hours per day and 20 days a month. For the following questions, assume the product mix as described above. Assume that there are 50 income tax statements arriving each month.
a. Which of the three persons is the bottleneck?
b. What is the ( implied) utilization of the senior accountant? The junior accountant? The administrative support person?
c. You have been asked to analyze which of the four product groups is the most profitable. Which factors would influence the answer to this?
d. How would the process capacity of VF change if a new word processing system would reduce the time to write the income tax statements by 50 percent?

Answers

Five percwnt of 15 is 80 and 50 is 25

The solution is, c3 = 24 cases, and, c4 = 96 cases.

What is percentage?

A percentage can be stated as a number or ratio that can be expressed as a fraction of 100. A percentage usually represented as a number or ratio expressed as a fraction of 100. It is usually denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number which has no unit of measurement.

here, we have,

given that,

Total time in a week = 40 hours = 2400 minutes

Total time Administrator is utilized = 50 * 20 = 1000 minutes

Total time Senior accountant is utilized= 20% * 50 * 40 = 400 minutes

Total time Junior accountant is utilized = 40%*50*15 = 600 minutes

For Total cases, Total capacity

= Total time / Bottlenck time (Administrator)

= 2400 / 20

= 120 cases

C-3) Capacity of new customers at 20:80 ratio = 20% * 120 = 24 cases

C-4) Capacity of repeat customers at 20:80 ratio = 20%*120 = 96 cases

c-1 = Flow rate

= min ( demand, capacity) for new customers

= 10 new cases / week (20%*50)

c-2 = Flow rate

= 40%*50

= 40 cases / week

c3 = 24 cases

c4 = 96 cases

Hence, The solution is, c3 = 24 cases, and, c4 = 96 cases.

To learn more on percentage click:

https://brainly.com/question/24300581

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Suppose that you and a friend are playing cards and decide to make a bet. If you draw three red cards in succession from a standard deck of 52 cards with replacement, you win $30. Otherwise, you pay your friend $20. If the same bet was made 30 times, how much would you expect to win or lose? Round your answer to the nearest cent, if necessary.

Answers

Answer:

I don't know how to do it the subject

from SMALLEST to LARGEST: 1/4", 3/4", 12", 1/8", 3/8 5/8”

Answers

Answer:

1/8", 1/4", 3/8", 5/8", 3/4", 12"

Step-by-step explanation:

First, make all of the fractions have similar denominators. We'll use eighths.

1/4 = 2/8

3/4 = 6/8

The rest are either whole numbers or already have a denominator of 8.

2/8, 6/8, 12, 1/8, 3/8, 5/8.

Rearrange.

1/8, 2/8, 3/8, 5/8, 6/8, 12.

Now we take the fractions we converted, and change them back to their original form. Then we'll have the answer.

1/8, 1/4, 3/8, 5/8, 3/4, 12.

---

hope it helps

PLEASE HELP I WILL MARK YOU BRAINIEST

Answers

Answer:

x greater than or equal to 1/3

Step-by-step explanation:

Answer:

equation is unclear. Send another pic.

Find the surface area of the prism.

Answers

Answer:     You need to calculate the area of two polygonal bases, i.e., the top face and bottom face.

Step-by-step explanation:

PLLS HELP I HAVE BEEN ASKING FOR 2 DAYS NOBODY HAS HELPED ME PLSSS OMG IM CRYING I WILL GIVE BRAINLIEST

Answers

Answer:

D. -(22/4)

Step-by-step explanation:

22/-4= -5.5

-(22/4)= -5.5

Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) Can you do 1 and 4 thanks!! :)))

Answers

Answer:

1. 18.85in

4. 25.13m

Step-by-step explanation:

I got you

So to find the circumference of any circle we use the equation 2pi(r)

2(3.1415)(3)= 18.85in for the first one because radius is half of the diameter which is 6 so half of 6 is 3

For 4. 4m is actually the radius so just plug that into the equation 2pi(4)=25.13m

GUYS PLEASE DONT SEND LINKS, RANDOM ANSWER, OR DELETED THEM. I JUST WANT HELP FROM THIS QUESTION FOR GOD SAKE

Answers

Answer:

Since [tex]f(25\,ft) < 8\,ft[/tex], then we conclude that it will be a goal.

Step-by-step explanation:

Let the trajectory of the ball be represented by [tex]f(x) = -0.05\cdot (x-16)^{2}+11[/tex], where [tex]x[/tex] is the horizontal distance of the ball from origin, in feet, and [tex]f(x)[/tex] is the height of the ball above ground, in feet.

If Deshawn does not block Chris's shot, then we should check if shot will be a goal and this condition must be fulfilled:

[tex]f(25\,ft) < 8\,ft[/tex] (1)

If we know that [tex]x = 25\,ft[/tex], then the height of the ball at the start of the goal is:

[tex]f(x) = -0.05\cdot (x-16)^{2}+11[/tex] (2)

[tex]f(x) = 6.95\,ft[/tex]

Since [tex]f(25\,ft) < 8\,ft[/tex], then we conclude that it will be a goal.

can someone explain this for me? i’m a bit confused about it.

Answers

Answer:

4050 cubic feet.

Step-by-step explanation:

Let's first find the volume of the green cube. It is the edge length cubed, or 15^3 which equals 3375.

Now, let's find the volume of the brown pyramid on the cube. To find the volume, multiply the  base of the pyramid by the height, then divide by 3.

Using the edge length of 15, we can find that the square is 15^2 which equals 225.

Multiply 225 by the height 9,

225*9=2025

Then divide by 3.

2025/3=675.

Knowing the volume of the green cube, 3375, and the volume of the brown pyramid, 675, we can find that the volume of the entire figure is

3375 +675=4050 cubic feet.

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