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

Mrs. Williams has 7 gallon of juice left in a bottle. She pours an equal amount of
juice into 5 glasses to empty the bottle. Which model represents the fractional
amount of the gallon of juice in each glass?
20
LLLL

Answers

Answer:

1/20 of a gallon

Step-by-step explanation:

If she divides 1/4 into 5 glasses, the answer would be 0.05, or 1/20 gallons.

Simplify 55÷5×2^3÷4 HELP I WILL FAIL

Answers

[tex]55 \div 5 \times 2^{3} \div 4[/tex]

using pemdas do:

exponents first:

2x2x2=8

[tex]55 \div 5 \times 8 \div 4[/tex]

then divide and multiply from the left to right and the equation will equal:

[tex]22[/tex]

Line l will be graphed on the same coodinate grid. The only solution to the system of linear equations formed by lines k and l is (4/3,0). Whitch equation could represent line l. A y=3/4x B y= x+4/3 C y= -3/4x+1 D y= -3/4x+4

Answers

Answer:

C

Step-by-step explanation:

1. Plot each equation + (4/3,0)

Find the value of x.

Answers

Answer:

the answer is 49

Answer:

41 degrees

Step-by-step explanation:

180-90-49 = 41

What is the measure of

Answers

Yeh provide more info

PLEASE HELP THUS IS DUE IN AN HOUR

finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number​

Answers

Step-by-step explanation:

let angle be x

Step-by-step explanation:

relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=13/26

x=sin-¹(13/26)=30°

2.relationship between perpendicular and base is given by tan angle

tan x =p/b

tan x =7/16

x=tan -¹(7/16)=23.63°

3.relationship between between perpendicular and base is given by tan angle

tan x =p/b

tanx=31/50

x=tan-¹(31/50)=31.8°

4.relationship between base and hypotenuse is given by cos angle

cos x =b/h

cos x=5/7

x=cos-1(5/7)=44.4°

5.relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=4/14

x=sin-¹(4/14)=16.6

6..relationship between base and hypotenuse is given by cos angle

cos x=6/7

x=cos-¹(6/7)=31.0027

7.relationship between perpendicular and base is given by tan angle

.tanx=29/37

x=tan-¹(29/37)=38.09

8.relationship between perpendicular and hypotenuse is given by sin angle

.sin x=43/60

x=sin-¹(43/60)=45.78

9..relationship between base and hypotenuse is given by cos angle

cos x=32/44

x=cos-¹(32/44)=43.34

Im not sure how to do this or what function to use SIN, COS, or TAN but if you could walk me through it that would be so so so amazing!!! Thanks so much have an amazing day!!!

Answers

Answer: 3.8

Step-by-step explanation:first, you need to figure out what side you’re looking for. Side AC is opposite of the angle you’re given. They also give you length of side AB which is 4. That is the hypotenuse (side directly across from right angle). So, you have the hypotenuse, and need the find the opposite side measure. Which option uses opposite and hypotenuse? That’s Sin. So, you would do: sin70 = ? / 4.

sin (of given angle)= opposite / hypotenuse.

Sin (70 degrees) = ? / 4

Then you solve for “?”

Type sin70 into your calculator, then multiply both sides by 4 to get “?” by itself. You should get 3.758770483, which rounds to 3.8

Miguel compró 253 Kilos de pescado para venderlo en su negocio, si decide vender cada kilo de pescado en Bs 1.900.000. Entonces, ¿Cuánto dinero recaudó en total por la venta del pescado?

Answers

Answer:

Miguel recaudó Bs 480.700.000 por la venta del pescado.

Step-by-step explanation:

Con la información proporcionada puedes calcular el dinero que recaudó en total por la venta del pescado multiplicando el precio de venta de cada kilo de pescado por el número de kilos que Miguel compró:

Número de kilos comprados=253

Precio de venta por kilo=1.900.000

Total vendido=253*1.900.000

Total vendido=480.700.000

De acuerdo a esto, la respuesta es que Miguel recaudó Bs 480.700.000 por la venta del pescado.

can someone please help me??????​

Answers

I think it could be c

Written in standard form, the equation y = mx + b becomes

Answers

The answer is C because when changing the equation Freon slope form to standard you flip the signs of the variables
The answer would be letter A

A number is 9 more than another number. Twice the sum of the two numbers is 10. Find the two numbers.

Answers

Step-by-step explanation:

the formula can be;

X+9x=10

10x=10X=10/10=1

X=1+9(1)=1+9=10 Answer

I need this ASAP. I WILL MARK BRAINLIEST AND GIVE 50 POINTS!!
PLEASE I need this quick

Answers

Answer:

there were 8 adults and 7 students

Step-by-step explanation:

7.25(8) + 5.5(7) = 96.5

the numbers in the parenthesis stand for the number of people

have a great day :D

Step-by-step explanation:

The Answer Is

8 Adults And 7 Students

the surface area of a cube is 600 cm. what is its volume? 200 1000 600 800​

Answers

Answer:

1000 cm^3

Step-by-step explanation:

First, Find the side length of the cube. The surface area is all the area on the surface of a 3-dimensional object. Since a square has 6 congruent faces the formula for surface area is 6s^2 where s is the side length. Since we know the surface area we can solve for the side length.

600=6s^2- DIvide by 6

100=s^2- Take the square root of both sides.

10=s

The volume of a cube is s^3.

10^3=V

1000=V

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

D

Step-by-step explanation:

If you figure out the median you'll see that for 8th grafe its 21 and 7th 25 therefore 4 points higher

The difference between two numbers is 3. The sum of the same tow numbers is 13. What is the
product of the two numbers?

Answers

Answer: 40

Step-by-step explanation:

Let the two numbers be a and b.

Therefore,

a - b = 3 ....... i

a + b = 13 ....... ii

From equation I, a = 3 + b

Put a = 3+b into equation ii

a + b = 13

3 + b + b = 13

3 + 2b = 13

2b = 13 - 3

2b = 10

b = 10/2

b = 5

Since a = 3 + b

a = 3 + 5

a = 8

The product of the numbers will be:

= 8 × 5

= 40

Help with graph pleaseeee​

Answers

Graph a= undefined /graph b =-1/ graph c= 1/3 graph d = 0

need help so bad pleasss

Answers

Answer:

y=2/3x-6

Step-by-step explanation:

i hope this helps :)

6x + y = 17
-9x + 5y = -32

Answers

Answer:

x=3, y=-1. (3, -1).

Step-by-step explanation:

6x+y=17

-9x+5y=-32

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

-5(6x+y)=-5(17)

-9x+5y=-32

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

-30x-5y=-85

-9x+5y=-32

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

-39x=-117

39x=117

x=3

6(3)+y=17

18+y=17

y=17-18

y=-1

What is the value of v?
(This is 7th-grade math btw)

Answers

Answer:

Step-by-step explanation:

v = 40° ( being vertically opposite angles )

40 because they have to sum up to 180 degrees

HELP WILL GIVE YOU Brainiest!!!

Answers

Answer:

Step-by-step explanation:

So there we have it, <A=135° and <B=45°. This should check when you add them together ("<A and <B are supplementary which means that together their angles equal 180°"). Does 135°+45=180°?     YES!

I Really hope it helps

Please show work. Thanks​

Answers

2500x.25=625 (so 625 off the original price)
2500-625=$1875 (this is the sale price)

Solve for x :)))))))

Answers

Answer:

18

Step-by-step explanation:

X/24 = 36/48

X/24 = 3/4

X = 3/4 × 24 = 18

PLS, I'm begging for help, il give the brainiest to who gives me the right answer! THIS IS 30 POINTS
Question: pentagon STUVW is similar to S' T' U' V' W'. angle U=56 degrees, angle U' = 3x-16, and Angle T'=x+46. ST=57, UV=63, S' T'=19 and U' V' =y+4
a. Find x
b. find angle T'
c. Find y
you have to do, a, b, and c

Answers

Answer:

Similarity doesn't changes angle measures

∠U = 56°, ∠U' = 3x - 16∠U = ∠U'

a) 3x - 16 = 56 ⇒ 3x = 72 ⇒ x = 24°

b) ∠T = x + 46 = 24 + 46 = 70°

c) Scale factor:

k = S'T'/ST = 19/57 = 1/3

Find y using known sides and scale factor:

U'V'/UV = 1/3(y + 4)/63 = 1/3y + 4 = 21y = 21 - 4y = 17

What’s the answer to this question?

Answers

Answer:

this is what photomath said so idk

What is the value of cos A?

Answers

cos = adjacent/hypotenuse
cos a = 16/20

Slove The System of linear
equations by graphing.
Y=-x+4. 4=2x-8

Answers

Answer:

y= -x+4

4= 2x-8

you roll a die twice. What is the probability of rolling a 3 and then a 4?

Answers

Answer:

1/36

Step-by-step explanation:

P(rolling a 3) and P(rolling a 4)

= 1/6 and 1/6

=(1/6)(1/6)

=1/36

To the nearest whole number, what is the value of m?
O 13
O 14
O 43
O 45

Answers

Answer:

14

Step-by-step explanation:

The answer Is B. 14. I hope this helps

The area of a rectangle is 27 it?, and the length of the rectangle is 3 ft less than twice the width. Find the dimensions of the
rectangle

Answers

SOLUTION:
The length of a rectangle is 3 feet less than twice its width and area of rectangle is 27 ft2. Find the dimension

Length= Width= should not be a negative number.

ANSWER 1: W=4.5 ft The width is 4.5 feet.

En la tienda de don chuy vender tres cajas de colores de 36 piezas en $258,en cambio en la papeleria de la ciudad encontramos 5 piesas delos colores en$440

Answers

Responder:

Tienda de la ciudad

Explicación paso a paso:

Para obtener el precio unitario por caja:

Importe pagado / número de cajas.

Para cajas de 3 colores:

$ 258/2 = $ 129

Para las cajas de color /:

$ 440/5 = $ 88

$ 88 <$ 129

Por lo tanto, las cajas de colores son más baratas en la tienda de la ciudad.

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