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

which number multiplied by itself will give the output as 12345678987654321?​

Answers

Answer:what we observe is that the square of the number follows a pattern: 2 1's gives 121. 3 1's gives 12321. so to get 12345678987654321 we need to get square of 9 1's(111,111,111).

Find arc mKL(only real answers)

Answers

Solve 32x-4=15x+3 and that should be the answer

PLEASEEEEEE HELPPPPPPPPPP MEEEEEEEEEEEEEEEE

Answers

Answer:

120.2 or in other words, the answer is the last option, D

Josue owns a small business selling bagels. He knows that in the last week 80
customers paid cash, 45 customers used a debit card, and 4 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with
cash as a decimal to the nearest hundredth.

Answers

Answer: 0.62

Step-by-step explanation: I got the answer

The probability that the next customer will pay with cash is 0.62

What is probability?

"It is finding out the possibilities of the occurrence of an event."

Formula to find the probability of an event:

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

For given example,

in the last week 80 customers paid cash, 45 customers used a debit card, and 4 customers used a credit card.

So, the total number of customers:

⇒ n(S) = 80 + 45 + 4

⇒ n(S) = 129

Let event A: the next customer will pay with cash

n(A) = 80

So, the probability that the next customer will pay with cash would be,

⇒ P(A) = n(A)/n(S)

⇒ P(A) = 80/129

⇒ P(A) = 0.62

Therefore, the probability that the next customer will pay with cash is 0.62

Learn more about the probability here:

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ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

Answer:

864 inches cubed

Step-by-step explanation:

Since the volume is the 3 units multiplied together, 16 x 9 x 6 is 864.

Which of the following is a radical equation?
O x+ √5 - 12.
O x2 = 16
O 3+x7 - 13
0 7 √x = 14

Answers

Answer:

7√x = 14

Step-by-step explanation:

A radical equation is an equation in which a variable is under a radical. Out of all the equations, the only answer with x under the radical (square root symbol) is 7√x = 14.

The equation which is a radical equation from the given answer choices is; 7 √x = 14.

What is a radical equation?

According to the task content;

It follows that we are required to determine the equation which is a radical equation.

On this note, the required equation is 7 √x = 14 because the variable is under a radical.

Read more on radical equation;

https://brainly.com/question/2292715

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Solve the equation. 4 2/5 + k = -3 2/11​

Answers

Step-by-step explanation:

[tex]\tt{}4 \frac{2}{5} + k = - 3 \frac{2}{11} [/tex]

[tex]\tt{} \frac{22}{5} + k = - \frac{35}{11} [/tex]

[tex]\tt{}k = \frac{35}{11} - \frac{22}{5} [/tex]

[tex]\tt{}k = - \frac{417}{55} [/tex]

[tex]\tt{}k = - 7 \frac{32}{55} [/tex]

WHY IS NO ONE ANSWERING MY QUESTIONS

Answers

Answer:

perimeter = 2 * pie * r

r = 17 foot = 17/3 yards

3ft = 1 yard

perimeter = 2 * 3.14 * 17/3

= 2 * 22/7 * 17/3

= 44 * 17 / 21

= 35.605 yards

YAAAAY! WE FOUND THE ANSWER!!!! ITS THE OPTION B.35.605 LETS GET IT!!!!!

Step-by-step explanation:

So what I did was basically found the perimeter of the circle.. perimeter of circle is 2 multiplied by pie multiplied by r..and then I found the r value...and ye...we r finished.

STREAM LGO AND DYNAMITE

WE ARE ABOUT TO REACH 1B

HOPE I HELPED U KPOP BESTIE!

BYEEE

A cruise ship travels at a constant speed. In 3 hours, the ship travels 72 nautical miles. If the ship continues to travel at the same rate, how far would it travel in 11 hours. (No links) (if it’s wrong I will report and delete) (explain)

Answers

Answer:

264

Step-by-step explanation:

72 divided by 3= 24

24x11=264

A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 12 feet in length. How many 9-inch pieces can the dressmaker cut from 5 of these rolls of ribbon?

Answers

Answer:

She can cut 6 nine inch pieces.

Step-by-step explanation:

12x5=60 and 9 goes into 60 6 times which equals 54.

Step-by-step explanation:

i can't help you because that i am no a unit test i am so sorry for not help you

Pleaseeeeeeeeeeee helpppp

Answers

Answer:

I think is 40

Step-by-step explanation:

good luck

Answer:

i don know what because this makes no sense

Step-by-step explanation:

good luck

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
And please say which letters it is, thx!
Jose draws ABC. AB has a length of 10 inches and BC has a length of 15 inches.
Determine whether each measurement could be the length of AC.
Choose Yes or No for each measurement.
a. 4 inches Yes : No
b. 15 inches Yes : No
c. 23 inches Yes : No
d. 5 inches Yes : No
e. 25 inches Yes : No
f. 10 inches Yes : No

Answers

ABC I really need these points thx a lot

Recall that a conflict of interest scenario was presented to a sample of 200 marketing researchers and that 109 of these researchers disapproved of the actions taken. (a) Let p be the proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario. Set up the null and alternative hypotheses needed to attempt to provide evidence supporting the claim that a majority (more than 50 percent) of all marketing researchers disapprove of the actions taken.

Answers

Answer: Null hypothesis: [tex]p\leq0.50[/tex]

Alternative hypothesis: [tex]p>0.50[/tex]

Step-by-step explanation:

A null hypothesis is a type of hypothesis that states that there is no difference between a particular parameter of a population whereas an alternative hypothesis states that there is a difference.

Given: p = Proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario.

n= 200

Sample proportion = [tex]\hat{p}=\dfrac{109}{200}=0.545[/tex]

Claim : p>0.50

Null hypothesis: [tex]p\leq0.50[/tex]

Alternative hypothesis: [tex]p>0.50[/tex]

3.65 is greater than or less than 3and1/5​

Answers

3.65 is greater than 3 1/5 since if you put 1/5 in decimals, it would be 3.20.

Answer:

Greater

Step-by-step explanation:

It is greater because 3 & 1/5 is technically 3.20 which obviously results with 3.65 being greater than 3.2. Also if you go into detail with it 3.65 is kinda 3 & 3/5. Thanks. Let me know if you find any fault in my answer. Have a good day!

For an F distribution, find the following:

(a) f 0.25,825
(b) f 0.10,12,15
(c) f 0.01,12,6

Answers

Answer:

1.39 ; 2.02 ; 2.90

Step-by-step explanation:

From the F - distribution calculator

F0.25, 8, 2 ;

u = 8 ; v = 25 ; cumulative probability = 1 - 0.25 = 0.75

F value = 1.39

F0.10,12,15 :

u = 12 ; v = 15 ; cumulative probability = 1 - 0.10 = 0.90

F value = 2.02

F0.01,12,6

u = 12 ; v = 6 ; cumulative probability = 1 - 0.01 = 0.90

F value = 2.90

Jennie is standing 52 km away from the Volcano and the volcano is 2.4 km high. Assuming Makayla and the base of the volcano are at the same elevation above sea level, what is the angle of elevation from Makayla to the top of the volcan??

Answers

9514 1404 393

Answer:

  2.64°

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

Here, the side of the right triangle in this geometry that is adjacent to the angle of elevation is the distance to the volcano: 52 km. The side opposite is the height of the volcano: 2.4 km. Then the angle α is found from ...

  tan(α) = 2.4/52

  α = arctan(2.4/52) ≈ 2.64°

The angle of elevation from Makayla's position is about 2.64°.

Answer:

Solution :-

Since Jennie is standing away so,

[tex] \sf \: \tan( \arctan) = \dfrac{2.4}{52} [/tex]

=> 2.64⁰

The first bus stop on a bus route is 4 miles from school. How many yards is the first bus stop from school?

Answers

Answer:

7040 yards

Step-by-step explanation:

1 mile = 1760 yards

1 x 4 miles = 1760 x 4 yards

4 miles = 7040 yards

The answer is 7040 yards

add;200g+0.04kg=-----------dag

Answers

It's 200.04 dag

blah blah

Answer:

0.240kg

Step-by-step explanation:

the reason for this is because my teacher taught me this:

KHDMDCM

       L

       G

so you would go grams to kilograms and then you would find your answer because 200. +0.04 was the original equation correct so you would move the decimal in 200. back 3 times were you converted it to kilograms and the you would add so what your new equation is 0.200+0.04=0.240kg

daves first three test scores in algebra were 84%, 88%, and 90%. what does he need to earn on the next test so that his average for all four tests is exactly 90%?
A. 92%
B. 87%
C. 100%
D. 98%

Answers

Answer:

C gives you 90.2

Step-by-step explanation:

84+88+90+100=362

362/4=90.2

Find the value of x.

A. 10
B. 17
C. 14
D. 7

Answers

Answer:

x = 7

Step-by-step explanation:

By a certain theorem, Congruent chords are equidistant from the center of a circle. We know these chords are congruent because the top half of the left chord and bottom half of the right chord are congruent.

We also know that a radius perpendicular to a chord will bisect it, meaning the length of each chord is 20, but that's irrelevant, really.

So, now that we know the chords are equidistant from the center, we also know that x will be equal to 7.

Have a nice day, fam.

Which of the fractions is equivalent to 2/3

Answers

Answer:

4/6

6/9

12/18

8/12

5/10

Step-by-step explanation:,,

Answer:

The answers are 4/6 and 6/9.

Step-by-step explanation:

Model with mathematics. Abbi has decided to
offer a 2-hour computer gaming party for her
students. She can rent the student center for $45
per hour, and she can have the technology team set
up a network for up to 10 computers for a total of
$200 for the evening. Compose function p(x) such
that x is the number of students and p(x) is the
price per student for her to break even on the cost.
Note any appropriate restrictions on the domain x.

Answers

Answer:

180,000

Step-by-step explanation:

You got to multiply all the numbers and then divide by 600 and then you het your anwser

What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 11ftand a length of 18ft?

Answers

Answer:

i got 691ft

Step-by-step explanation:

Answer: 3366

Step-by-step explanation: (17)(11)(18)= 3366

HELP ASAP!!

The parent function f(x)= square root of x is translated 2 units right, compressed horizontally by a factor of 21 , and reflected across the x-axis.

Answers

Answer:

Ok? what's the question

Step-by-step explanation:

Answer:

i did my best to try and find something, do any of these help? lmk

Step-by-step explanation:

Select the best answer for the question.
16. Phil Smith is a car salesman. Last
week his total sales amounted to
$27,650.00, and he received $1,382.50 in
commission. What is his rate of
commission?
O

Answers

Answer:

5 Percent

Step-by-step explanation:

Last week his total sales amounted to $27,650.00, and he received $1,382.50 in commission. His rate of commission is 5 percent.

 Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.

What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?

A. 4
B. -4
C. -6
D. 6

Answers

Answer:

D. 6

Step-by-step explanation:

M is midpoint of LP and N is midpoint of MP

Use midpoint formula:

x = (x₁ + x₂)/2

Find x-coordinate of M:

x = (-3 + 9)/2 = 3

Find x-coordinate of N:

x = (3 + 9)/2 = 6

Correct choice is D

Help please!
The answer choices are -3.73, 1.58, 3.00, and 3.73

Answers

Answer:

I think its 2.73 not sure tho

Step-by-step explanation:

Answer:

I got 3.73 (I am sorry if I am wrong I haven't done it in a while but I hope this helps!)

Step-by-step explanation:

What is fraction is equal 54%

Answers

Answer:

27/50

20 character minimum

The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20. Estimate the percent of the data that are less than 150 or greater than 190.​

Answers

Using the normal distribution, we find that 32% of the data that is less than 150 or greater than 190.​

----------------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

----------------------------

The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20.

This means that [tex]\mu = 170, \sigma = 20[/tex]

----------------------------

Less than 150:

As a proportion, it is the p-value of Z when X = 150, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{150 - 170}{20}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.16.

0.16x100% = 16%

----------------------------

More than 190:

As a proportion, it is 1 subtracted by the p-value of Z when X = 190, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{190 - 170}{20}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.84.

1 - 0.84 = 0.16

0.16x100% = 16%

----------------------------

Estimate the percent of the data that are less than 150 or greater than 190.​

We add both percentages, thus:

16% + 16% = 32%

32% of the data that is less than 150 or greater than 190.​

A similar question is given at https://brainly.com/question/14694610

Which of the following ordered pairs is a solution of the system of inequalities?
y > 2x2 – 8
y ≤ –x2 – 3x + 4
Question 5 options:

A)

(4, –3)

B)

(–3, –2)

C)

(5, 0)

D)

(0, –5)

Answers

9514 1404 393

Answer:

  D)  (0, -5)

Step-by-step explanation:

A graphing calculator is helpful. It shows that the point (0, -5) is in the solution spaces of both inequalities.

__

If we consider only the case of x=0, then the solution space reduces to ...

  -8 < y ≤ 4 . . . . . the constants of the two inequalities

Here, it is easy to see that y=-5 is in the solution space.

  (0, -5) is a solution

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