The manager of a fast-food restaurant wants to be sure that, on average, customers are served within 4 minutes from the time the order is placed. He is particularly concerned about the staff working during the early morning shift. From a random sample of 41 orders, the mean time was 3.75 minutes with a standard deviation of 1.2 minutes.

(a) Is there convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes?

Answers

Answer 1

Answer:

There is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0} = 4[/tex]

The alternate hypothesis is:

[tex]H_{1} < 4[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

From a random sample of 41 orders, the mean time was 3.75 minutes with a standard deviation of 1.2 minutes.

This means that [tex]n = 41, \mu = 3.75, \sigma = 1.2[/tex]

The test-statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{3.75 - 4}{\frac{1.2}{\sqrt{41}}}[/tex]

[tex]z = -1.33[/tex]

[tex]z = -1.33[/tex] has a pvalue of 0.0918, looking at the z-table.

0.0918 > 0.05, which means that the null hypothesis is accepted, and that there is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes


Related Questions

someone please help on this question, i will mark as brainliest!

Answers

Answer:

It’s 11

Step-by-step explanation:

A computer user has downloaded 19 songs using an online file-sharing program and wants to create a CD-R
with 9 songs to use in his portable CD player. If the order that the songs are placed on the CD-R is not
important to him, how many different CD-Rs could he make from the 19 songs available to him?
There are
possible CD-R's.

Answers

Answer:

That would be 19! / 10!, which is 33522128640

If to create a CD 9 songs are needed and user have 19 songs then he can create 33522128640 such CD's if solving through permutations.

What is permutations?

It is basically an arrangement of objects in a certain order.It is expressed as n[tex]P_{r}[/tex] and it is equal to n!/(n-r)!.

How to calculate ways?

We have been given that user have 19 songs and 1 CD is made from 9 songs so the number of CD's which can be made is basically the number of ways these 9 songs are arranged from 19 songs in CD's. So, the number of CD's will be 19[tex]P_{9}[/tex]=19!/(19-9)!

=19!/10!

=19*18*17*16*15*14*13*12*11*10!/10!

=19*18*17*16*15*14*13*12*11

=335322128640 CD's

Hence 335322128640 CD's can be made from 19 songs by the user.

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can u guys help me with this

Answers

Answer:

1.  50

2. 18

Step-by-step explanation:

Answer:

1st paper

18

2nd paper

50

If Brittany walks 4 miles in 50 minutes, then Brittany will walk how far in 90 minutes if she walks at the same speed the whole time? If necessary round your answer to the nearest tenth of a mile

Answers

Answer:

Wrong Anewer, I can't delete my answer so I just edited this in

Answer: try calculating it this is very easy that’s why you just have to times it

ing

Step-by-step explanation:

A store manager decides to clear out
school supplies to make room for new
inventory. Now a $20 bookbag will be
on sale for only $9. What is the
discount, as a percentage?
A:55%
B:40%
C:45%
D:50%

Answers

Answer:

it would be A:55%

Step-by-step explanation

For percent, to make it easier try to turn it into a 100.

20x5=100

do the same to the 9.

9x5=45.

Now subtract 45 from 100.

100-45=55.

There was a discount of 55%.

A piece of machinery depreciates 6000 the first year 5500 the second year and 5000 the third year. If the rate of depreciation is constant what is the amount of depreciation of the piece of the machinery in the sixth year?

Answers

Answer:

3500

hope this helps

QUESTION 8
In the linear equation y = 2x - 8, the slope of the line is
-2.
-8
2
8

Answers

Answer:

2

Step-by-step explanation:

give brainliest

2 because in y=mx+b, m is the slope

If you don't mind, could you please give me a brainliest thanks :]

Fill in the blank for x~

24=4x-4

Answers

The answer is x=7
24=4x-4
-4x=-4-24
-4x=-28
x=7

Ryan practiced 43.2 minutes on Monday on his violin. Tuesday, he practiced 37.48 minutes. If he practiced a total of 114.34 minutes for Monday, Tuesday, and Wednesday, how many minutes did Ryan practice on Wednesday?


Ryan practiced ________ minutes on Wednesday.
please help :)

Answers

Answer:

Ryan practiced 33.66 minutes on Wednesday

Step-by-step explanation:

You do 43.2+37.48 and it equals 80.68

Then you do 114.34-80.68 which equals 33.66

please help me!!!!!!!!!!!!

Answers

Answer:

C. and D. are correct

Step-by-step explanation:

I solved all of them

A would be 0.5 not 2

B would be 2.5 not 2

E would be 0.5 not 2

hope this helps <3

A cylinder has radius 1.6 meters. Its volume is 95 cubic meters. Find its height to the nearest tenth of a meter.

Answers

Answer:

11.8 meters

Step-by-step explanation:   ʕ ˵• ₒ •˵ ʔ

2. Which are not the measures of the sides of a right triangle?
A. O 1, 3,3
B.O 2,2,3,4
cks 1, 3,2
D.O

Answers

Answer:

B. because there are too many side lengths to be a triangle

B. I know im right okay!

solve for x: 8x = 2/3

Answers

Divide each term by 8 and simplify.

exact form should be

1/12

Decimal form should be

0.083

Hopes this helps:

Answer: 1/12

X= 2/3•8

X= 2/24

X= 1/12

What is the ratio of perimeters for two regular pentagons with areas of 32 cm2 and 98 cm??

O 16:49

0 20:35

O 32:98

O 4:7

Answers

the answer is c judgement. did d dnd. f gn f f f f. f f for jdhdjd d. did djdnd den did dan d he d

Answer:

4:7

Step-by-step explanation:

32/98= 16/49  Square root: 16= 4   square root of 49 =7

4:7

What is 2ft 3in converted to in?​

Answers

Answer:

its is 27inches total

Step-by-step explanation:

yes is right

f(x) = - 3/5 * x + k, If f(30)=^ - 11 , what is the value of k?

Answers

X = 30. Plug thirty into the equation to get -11 = -30 + k. Add 30 to both sides to get 19 = k.

K = 19

Did this help You?----> Yes Or No ?

Please help me. I need help

Answers

Answer:

(X+1)(x+5)

Step-by-step explanation:

Answer:

the zeroes are -5 and -1 so the factors are (x + 5)(x + 1)

solve for x
please help​

Answers

Answer:

your answer will be X=11.1

hope it helps you ...

A tank is draining water such that the volume is given which an exponentially decreasing graph as shown in the graph below. If the volume was modeled with an equation of the form V=a(b)^t, where t is the number of hours then which of the following is the best value for b?

(1) b=20
(2) b=0.6
(3) b=2.8
(4) b=0.3

Answers

Answer:

[tex]b = 0.3[/tex]

Step-by-step explanation:

Given

[tex]V = ab^t[/tex]

See attachment for graph

From the graph

V = 20 when t = 0

This implies that:

[tex]V = ab^t[/tex]

[tex]20 = ab^0[/tex]

[tex]20 = a * 1[/tex]

[tex]20 = a[/tex]

[tex]a = 20[/tex]

Also:

V = 4 when t = 1.5

So:

[tex]4 = ab^{1.5[/tex]

Substitute 20 for a

[tex]4 = 20 * b^{1.5[/tex]

Divide by 20

[tex]0.2 =b^{1.5[/tex]

[tex]b^{1.5} = 0.2[/tex]

Take 1.5th root of both sides

[tex]b = 0.34199518933[/tex]

[tex]b = 0.3[/tex] --- approximated

In 2012 the NYC misdemeanor crimes totaled 374,364, in 2013 the total was 359,350. What was the percent change?

Answers

Answer:

-4%

Step-by-step explanation:

final value - initial value / initial value

359350 - 374364 / 374364

= -15014 /  374364

= -0.04010535201

-0.04010535201 x 100 = -4.01053520103

The value of percent change is -4%.

What is Percentage?

A relative value indicating hundredth part of any quantity is called percentage.

Given that;

In 2012, the NYC misdemeanor crimes totaled 374,364.

And, In 2013, the total was 359,350.

Now.

The percent change = ( Final value - Initial value / Initial value ) x 100

                                =( 359,350 - 374,364 / 374,364 ) x 100

                                = (-15014 /  374364) x 100

                                = -0.04 x 100

                                = - 4%

Thus, The value of percent change is -4%.

Learn more about the percent visit:

https://brainly.com/question/843074

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-
Determine whether the graph is a function.

Answers

Answer:

a

Step-by-step explanation:

a

A triangle has angles that measure 118°, 30°, and 32°.

Answers

Answer:

Obtuse

Step-by-step explanation:

Triangles with angles > 90 are obtuse

Answer: obtuse

Step-by-step explanation: Any triangle with more than 90 dgrees means that the other two angles automatically have two acute angles, but an obtuse triangle only needs one obtuse angle: 118. Tell me how I did!

There is a one-time fee of $50 to join a gym. If the monthly membership fee is $28, how much will you have spent after 3 months of your membership?

Answers

It would be $134
28 x 3 = 84
84 + 50 = 134

I dont need an explanation just tell me where the 1 and 2 goes no links WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

independent variable is pens and dependent variable is $5 each Im pretty sure

Mohamed Hubabi charges $12.00 for 40 pieces of spicy seaweeds.
At this rate, how much will 100 pieces of spicy seaweeds cost?

A) $333.33
B) $100.30
C) $30
D) $48

Answers

Answer:

c. $30

...................

The graph shows the function f(x).
What is the function's average rate of change from x=−1 to x = 1?



Enter your answer, as a simplified fraction, in the boxes.

Answers

Explanation is in the file

tinyurl.com/wpazsebu

Solve the following system of equations using the elimination method. 2x+4y=10;-2+y=-15

Answers

Answer:

x=7, y=-1. (7, -1).

Step-by-step explanation:

2x+4y=10

-2x+y=-15

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

5y=-5

y=-5/5

y=-1

2x+4(-1)=10

2x-4=10

2x=10+4

2x=14

x=14/2

x=7

URGENT PLEASE, I NEED THIS FOR A TEST RIGHT NOW- A jar one-fifth filled with water weighs 560g. The same jar four-fifth filled with water weighs 740g. What is the weight of the empty jar??

Answers

Answer:

493g.

Step-by-step explanation:

Algebra 2
Can you help me pls

Answers

Answer:

In50=3.912023005

Step-by-step explanation:

press it on your calculator

helppppppp i need help

Answers

Do you need the fraction? I don’t understand what you are asking
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