The Jefferson Valley Bank once had a separate customer waiting line at each teller window, but it now has a single waiting line that feeds the teller windows as vacancies occur. The standard deviation of customer waiting times with the old multiple-line configuration was 1.8 min. Listed below is a simple random sample of waiting times (minutes) with the single waiting line. Use a 0.05 significance level to test the claim that with a single waiting line, the waiting times have a standard deviation less than 1.8 min. What improvement occurred when banks changed from multiple waiting lines to a single waiting line?

Answers

Answer 1

Answer:

There will be sufficient evidence to conclude. A further explanation is provided below.

Step-by-step explanation:

The given values are:

[tex]\sigma=1.8[/tex]

[tex]\alpha=0.05[/tex]

[tex]n=10[/tex]

As we know,

[tex]\bar{x}=\frac{\Sigma x_i}{n}[/tex]

  [tex]=\frac{71.5}{10}[/tex]

  [tex]=7.15[/tex]

The standard deviation will be:

⇒  [tex]s=\sqrt{\frac{1}{n-1} \Sigma(x_i- \bar{x})^2 }[/tex]

On substituting the values, we get

⇒     [tex]=\sqrt{\frac{1}{10-1} [(6.5-7.15)^2+...(7.7-7.15)^2]}[/tex]

⇒     [tex]=\sqrt{\frac{1}{9} [(6.5-7.15)^2+...(7.7-7.15)^2]}[/tex]

⇒     [tex]=0.477[/tex]

According to the question,

Hypotheses:

[tex]H_o: \sigma=1.8[/tex]

[tex]H_a: \sigma<1.8[/tex]

The test statistic will be:

⇒ [tex]X^2=\frac{(n-1)s^2}{\sigma^2}[/tex]

⇒       [tex]=\frac{(10-1)\times 0.477^2}{1.8^2}[/tex]

⇒       [tex]=\frac{2.0477}{3.24}[/tex]

⇒       [tex]=0.632[/tex]

Thus the above is the correct response.


Related Questions

Correct answer please
I will mark you brainliest for the correct answer
I need this answer asap

Answers

Answer:

Angle 3 and Angle 4

Step-by-step explanation:

Congruent angles are equal to each other, these can't be congruent.

There are 20 boys in Mrs. Shaw’s 3rd-period class. 11 of the boys are from Benignus. What percent of the boys came from Benignus?

please hurry
6th grade math

Answers

11/20 times 100% = 55%

ABCD is a parallelogram. If mZCDA = 81, then
mZDAB = ? _. The diagram is not to scale.

Answers

Answer:

∠DAB = 99°

Step-by-step explanation:

Given:

ABCD is  PARALLELOGRAM

∠CDA = 81°

Find:

∠DAB

Computation:

ABCD is  PARALLELOGRAM

So,

∠CDA + ∠DAB = 180°

81° + ∠DAB = 180°

∠DAB = 99°

Find the measure of angle x?

Answers

It’s 43

Since x: 180-47-90

Answer:

x = 43 degrees

Step-by-step explanation:

First, you have to see that there is a right angle of 90 degrees. Since that is there, you know that there is 90 degrees in the bottom and right side as well. So all you do in this question is do 90 - 47 to get your answer of 43 degrees.

The area of a
circular fountain is
225πft2. What is the
diameter of the
fountain?

Answers

Using the formula for area of a circle: area = pi x r^2

You now have:

225pi ft^2 = pi x r^2

Divide both sides by pi:

225 = r^2

Take the square root of both sides:

r = 15

The radius is 15 feet.

The diameter is the radius x 2:

Diameter = 15 x 2 = 30 feet.

Answer: 30 feet.

How many cups are in 1 quart?

correct=brainliest

Answers

Answer: 1 quart = 4 cups or 2 pints

Michael surveyed 960 of the students in his school about their favorite color. 912 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red?

Answers

Answer:

95%

Step-by-step explanation:

912÷960=0.95

Hope this helps.

pls help i need to pass

Answers

Answer:

The answer would be A

Step-by-step explanation:

the answer is A because it shows the correct set of data

The skateboard ramp has a slope of 2/5 if the height is 6 what is the width?

Answers

Answer:

its  5y−30

         2

Step-by-step explanation:

Because lets put this problem in slope form. The form is Y=mx+b

ok now lets put it with the number Y=2/5+6

A Chevy Volt costs $29,600 in the United States. What would it cost in Canada?

Answers

Answer:

I may be wrong, but it should be around 37301.18 Canadian dollars

Step-by-step explanation:

The  Chevy Volt costs  in Canada is 37,888 Canadian Dollar

What is unitary method?

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit

What is the current marked value of US dollar to Canadian dollar?

1 United States Dollar = 1.28 Canadian Dollar

According to the question

Chevy Volt costs in the United States  =  $29,600

As, per  current marked value

1 United States Dollar = 1.28 Canadian Dollar

Cost in Canada =  29,600 *  1.28 Canadian Dollar

                         =   37,888 Canadian Dollar

Hence, the  Chevy Volt costs  in Canada is 37,888 Canadian Dollar

To know more about unitary method here:

https://brainly.com/question/19423643

#SPJ2

winston works 40 hours a week as a pharmacist. if he made 75,400 last year, how much was he paid per hour?

Answers

Answer:

If I'm calculating correctly, it might be $36.15. Or, if you're rounding, $36.2.

Step-by-step explanation:

There are about 52.14 weeks in a year. If you multiply 40 by 52.14 you get 2085.6. Then you divide 75,400 by 2085.6 and that's how I got my answer. If I'm wrong, someone feel free to correct me.

Answer:

$36.25

Step-by-step explanation:

Ape.x

20 POINTS!!!!!!!!! pls answer asap

Answers

Answer:

FD = 26

Step-by-step explanation:

CD = ED --- (secant property)

so, ==>>

13x - 16 = 4x + 11

13x - 4x = 11 + 16

9x = 27

x = 27÷9

x = 3

side ED = 4x + 11 = 4×3 + 11

side ED = 23

side FE = 12

ΔFED = 90° ...... (tangent secant property)

so.........

FE² + ED² = FD² ......... ( by pythagoras theorm)

12² + 23² = FD²

144 + 529 = FD²

673 = FD²

673 = FD

26 = FD

Answer:

26

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

Answer:

it d. the proof demonstrates that a 2 + b 2=c 2


What is the area of this figure?
Enter your answer in the box

Answers

area of square is a^2
5^2 =25
area of triangle is base x height divide by 2
5x4=20
20 divide by 2 is 10
add them together
25+10=35

Which equation is represented by the graph below?
y=e+5
y=e+4
y = In X+4

Answers

The correct answer is C, y=Inx+4 because the y-intercept is at 4, and the graph depicts the natural log of x

Use 3.14 for pi and round to the nearest tenth.

Answers

Answer:

3.1

Step-by-step explanation:

if the last number is less thank five round down

please help!! I'm really confused

Answers

Answer:

a. 7/16

b. 27.5%

Step-by-step explanation:

add all parts together to get a total of 80 students. then divide the number of the correct area by 80. part a would be 43.75% and part c would be 27.50%

Is the relation shown in the table a function? Use the graph and justify your answer. x 2 4 8 10 y 3 2 0 –1 A coordinate grid from 0 to 9 on both axes. A. Yes. The relation is a function. The graph of the function is a straight line and has a constant rate of change. B. Yes. The relation is a function. The graph of the function is a curve. C. No. The relation is not a function. The graph of the relation does not pass through the origin. D. No. The relation is not a function. The graph of the relation is not a straight line.

Answers

Answer:

Yes; for each input there is exactly one output. 2. ANSWER: No; the domain value 6 is paired with both 9 and 10. 3. {(2, 2), (−1, 5), (5, ... Draw a graph showing the relationship between

Step-by-step explanation:

i think that is the answer

Answer: Yes, the relatoin is a function. the graph of the function is a straight line.

Step-by-step explanation: If it is a straight line it is a function.

What is the value of n in the equation (2n + 4) + 6 = -9 + 4(2n

+

1)?

(Edulastic)

Answers

Answer:

5/2

Step-by-step explanation:

(2n+4)+6=-9+4(2n+1)

2n+4+6=-9+8n+4

2n+10=-9+8n+4

2n-8n=-9+4-10

-6n=-5-10

-6n=-15

6n=15

n=15/6

simplify

n=5/2

what does x= in each of the questions

Answers

Answer:

x+35/5=2

x+35=10

x=-25

Answer:

[tex]\frac{1}{5} x[/tex]+7=2, x=-25

[tex]\frac{m}{7} -7=3[/tex], m= 105

[tex]\frac{3}{5} x+7=-20, x= -45[/tex]

[tex]-\frac{2}{7} t+5=17, t=-42[/tex]

4.9x+4.2=9.1, x=1

Explanation for last two:

[tex]-\frac{2}{7}t+5=17[/tex]  

Step 1: Subtract 5 from both sides.

[tex]\frac{-2}{7} t+5-5=17-5[/tex]

[tex]\frac{-2}{7} t=12[/tex]

Step 2: Multiply both sides by 7/(-2).

[tex](\frac{7}{-2} )*( \frac{-2}{7}t )= (\frac{7}{-2} )*(12)[/tex]

t=−42

4.9x+4.2=9.1

Step 1: Subtract 4.2 from both sides.

4.9x+4.2−4.2=9.1−4.2

4.9x=4.9

Step 2: Divide both sides by 4.9.

[tex]\frac{4.9x}{4.9} \frac{4.9}{4.9}[/tex]

x=1

What is the first step Anika made from the original equation.​

Answers

Answer:

She factored out a 4 from the equation.

Step-by-step explanation:

So our original equation is 12x + 4 = 20x - 12

Anika's first steep of her equation is 3x + 1 = 5x - 3

We know that the terms were not moved around, so the first step was likely multiplication or division.

We also see that a 4 has been factored out of the entire equation, like this:

12x + 4 = 20x - 12

4(3x + 4) = 4(5x - 3)

And these 4's cancel each other out.

So, I conclude that Anika's first step was dividing the entire equation by 4 or factoring out a 4 from the equation.

Mr. Dietrch's class is 17/25 boys. What percentage of the class is boys? 

Answers

Answer:

I believe it's 44% could be wrong tho sorry-

Find the equation of the curve that passes through the point (x, y) = (0, 0) and has an arc length on the interval x is between 0 and pi over 4 inclusive given by the integral the integral from 0 to pi over 4 of the square root of the quantity 1 plus the cosine squared x, dx . (5 points)

Answers

Answer:

[tex]\displaystyle y=\sin(x),\text{ where } 0\leq x\leq\pi/4[/tex]

Step-by-step explanation:

The curve passes through the point (x, y) = (0, 0) and has an arc length on the interval [0, π/4] given by the integral:

[tex]\displaystyle \int_{0}^{\pi/4}\sqrt{1+\cos^2(x)}\, dx[/tex]

And we want to find the equation of the curve.

Recall that arc length is given by:

[tex]\displaystyle L=\int_a^b\sqrt{1+\Big(\frac{dy}{dx}\Big)^2}\, dx[/tex]

Rewrite our original integral:

[tex]\displaystyle \int_{0}^{\pi/4}\sqrt{1+(\cos(x))^2}\, dx[/tex]

So:

[tex]\displaystyle \frac{dy}{dx}=\cos(x)[/tex]

It follows that:

[tex]\displaystyle y=\sin(x)+C[/tex]

Using the initial condition:

[tex]0=\sin(0)+C\Rightarrow 0=0+C\Rightarrow C=0[/tex]

The equation for our curve is:

[tex]\displaystyle y=\sin(x),\text{ where } 0\leq x\leq\pi/4[/tex]

i just need the Y blank answers please!!

Answers

x=1 y=0
x=4 y=3
.............

write a polynomial function in standard form with zeros at -1 -4 and 2

Pleasee PLEASE PLEASE SOMEONE HELP ME​

Answers

Answer:

y= x^3+3x^2-6x-8

Step-by-step explanation:

Help!!
what's 7e-9-3e for e=6? ​

Answers

Answer:

15

Step-by-step explanation:

7e (7×6) = 42

42 - 9 = 33

3e (3×6) = 18

33 - 18 = 15

You’re answer is 15. Hope this helps

HELP ILL GIVE BRAINIEST THIS MY LAST QUESTION!

Jim and Regina can complete one job in 4 hours when working together. When working alone, Jim works twice as quickly as Regina.

• How long will it take each of them to do the job when working alone? Show all work supporting your answer.

• If Regina works as quickly as Jim, how long will it take both of them to do the job working together? Show all work supporting your answer.

Answers

Answer:

Jim = 6 hoursRegina = 12 hoursTogether at same rate = 3 hours

Step-by-step explanation:

Let Jim's speed  is J and Regina's speed is R and the work is W

We have:

(J + R)*4 = WJ = 2R

Substitute J with 2R:

(2R + R)*4 = W12R = W

Regina needs 12 hours to complete work

and

Substitute R with J/2:

(J + J/2)*4 = W 6J = W

Jim needs 6 hours to complete same work

If Regina works as quickly as Jim:

J + R = 2J

Then

Jim can complete 1/6 of work in one hour, they both can complete twice work:

1/6*2 = 1/3

Time to complete work:

1: 1/3 = 3 hours

Answer:

Honestly, Mark above person answer as brainliest..okay

what is the slope of the lines segment with the endpoint (2,-5) and (-8,3)

Answers

Answer: - 0.8
Explanation I subtracted y2 and y1
(3-(-5) = 8
then subtracted x2 and x1
((-8) -2) =-10
Then I divide 8 and -10
And I got -0.8

|x-(-12)| if x>-12


ill give brainlyest if corect

Answers

Answer:

x+12

Step-by-step explanation:

:)

PLEASE HELP due in 8 mins
1/2 (x - 5) = 4/3​

Answers

Answer:   [tex]7\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2} (x-5)=\frac{4}{3} \\[/tex]

Multiply both sides by 2

[tex]2(\frac{1}{2} (x-5))= \frac{4}{3} (2)[/tex]

[tex]x-5=\frac{8}{3} \\x-5+5 =\frac{8}{3} +5\\x=7\frac{2}{3}[/tex]

Answer:

1/2(x-5) =4/3

X-5=4/3÷1/2

X-5=8/3

X=8/3+5

X=23/3

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