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

Which is greater 1.56 or 1.29

Answers

Answer:

1.56 is greater than 1.29. (Check after the decimal point, 5 is greater than 2, so 1.56 is greater than 1.29)

Answer:

I believe that 1.56 is grater than 1.29.

hope this helps.

I will send a pic to you​

Answers

Answer:

agreed

Step-by-step explanation:

agreed...............................

ABCDEFGHIJKLMNOPQRSTUVWXYZ

Alice and Finn roll two number cubes. Which of the following rules will make the game fair?

A) Alice wins if a total of 5 is rolled. Finn wins if a total of 9 is rolled.
B) Alice wins if a total of 7 is rolled. Finn wins if a total of 8 is rolled.
C) Alice wins if a total of 3 is rolled. Finn wins if a total of 10 is rolled.
D) Alice wins if a total of 4 is rolled. Finn wins if a total of 11 is rolled.

Answers

Answer:

Alice wins if a total of 4 is rolled. Finn wins if a total of 11 is rolled.

A foreign-car dealer with warehouses in New York and Baltimore receives orders from dealers in Philadelphia and Trenton. The dealer would to minimize the shipping cost. The dealer in Philadelphia needs 3 cars and the dealer in Trenton needs 8. The New York warehouse has 5 cars and the Baltimore warehouse has 9. The cost of shipping cars from Baltimore to Philadelphia is $120 per car, from Baltimore to Trenton $90 per car, from New York to Philadelphia $100 per car, and from New York to Trenton $70 per car. Let x be the number of cars shipped from Baltimore to Trenton, and y be the number of cars shipped from Baltimore to Philadelphia. 5. Write the six inequalities associated with this problem.

Answers

Answer:

[tex]x \ge 0[/tex]  

[tex]y \ge 0[/tex]

[tex]x + y \le 9[/tex]

[tex]8 - x \ge 0[/tex]

[tex]3 - y \ge 0[/tex]

[tex](8 - x) + (3 - y) \le 6[/tex]

Step-by-step explanation:

Given

x = Cars from Baltimore to Trenton

y = Cars from Baltimore to Philadelphia

Required

Write out 6 inequalities

First, 0 or more cars must be shipped to both locations

So:

[tex]x \ge 0[/tex]

[tex]y \ge 0[/tex]

Considering the warehouse in Baltimore.

(1) The warehouse can not ship more than the number of car it has (9).

So:

[tex]x + y \le 9[/tex]

Considering the warehouse in New York.

(1) After shipping cars to Trenton and Philadelphia, the warehouse will have 0 or more cars.

So:

[tex]8 - x \ge 0[/tex] --- To Trenton

[tex]3 - y \ge 0[/tex] --- To Philadelphia

(2) The warehouse cannot send out more than 6.

So:

[tex](8 - x) + (3 - y) \le 6[/tex]

So, the inequalities are:

[tex]x \ge 0[/tex]

[tex]y \ge 0[/tex]

[tex]x + y \le 9[/tex]

[tex]8 - x \ge 0[/tex]

[tex]3 - y \ge 0[/tex]

[tex](8 - x) + (3 - y) \le 6[/tex]

I need to bring my math grade up !!! Does anyone know that answer

Answers

Answer:

2/5 of hangar a = hangar b

Step-by-step explanation:

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x = 2√3

Step-by-step explanation:

x² = √6² + √6²

x² = 6 + 6 = 12

x = √12 = 2√3

Help answer this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D move 6 units to the left and land on -9

Step-by-step explanation:

The dolphin dove down meaning that it went 6 feet below sea level. that would mean -6. If you move 6 spaces to the left, you would land on -9. Hope this helps

Answer:

D. on the number line, move 6 units to the left. End at -9, the Dolphin was 9 feet below sea level

The volume of a cube is 125cm3.
If the cube were ice blocks, how many cubes would you need make 1KL of ice?

Answers

Answer:

8000 cubes

Step-by-step explanation:

Given that 1KL is 1 Kilo liters

Then conversion of 1KL to cm³ => 1,000,000 cm³

Therefore, since we have a cube to be 125 cm³

Hence, to find the number of cubes of ice blocks that would make 1KL

We divide 1,000,000 cm³ from 125 cm³

=> 1,000,000 ÷ 125

=> 8,000

Therefore, the correct answer is 8,000 cubes

all that make this true i need help

Answers

Answer:

D and E

Step-by-step explanation:

3(23+18)=123

6(18)=108.  6(19)=114.  6(20)=120.  6(22)=132.  6(24)=144

Buffer stock is the level of stock ​

Answers

Answer:

akuy3uwujwu

Step-by-step explanation:

uwoedihwo

Answer:

Safety stock inventory, sometimes called buffer stock, is the level of extra stock that is maintained to mitigate risk of run-out for raw materials or finished goods due to uncertainties in supply or demand.

HOPE IT HELPS...

HAVE A GREAT DAY : P

Helpppppppppp fasttttttttttttttttttt

Answers

Answer:

first 2 , second 50, third 8

Step-by-step explanation:

The area of a wall to be tiled in 1.5 metres by 2.5 metres.
Tiles are 50cm by 50cm
The tiles are £0.99 each.
How much will the tiles cost in pounds

Answers

Answer:

£14.85

Step-by-step explanation:

The total number of tiles needed

= 5 × 3

= 15

∴ The total cost of the tiles

= £0.99 × 15

= £14.85

The hanger image below represents a balanced equation. Find the value of n that makes the equation true.

Answers

Answer:

6

Step-by-step explanation:

16=n +10

subtract 10 from both sides and your left with 6=n

The answer is 6, I already this and it’s pretty easy

State if the triangles in each pair of similar. If so, state how you know they are similar and complete the similarity statement.


triangle UTS~ ____

a. similar, AA, UED
b. similar, SSS, UDE
c. similar, SAS, UDE
d. not similar​

Answers

Answer:

triangle UTS~∆UED by AAA axiom

If an arithmetic progression satisfies U4=7 , U8=15 .Find U10​

Answers

Answer:

U10 = 19

Step-by-step explanation:

The sequence is [tex]Ux=(x*2)-1[/tex]

x is the coefficient to U.

So, [tex]U10=(10*2)-1[/tex]

Which means [tex]U10=20-1[/tex]

Which means [tex]U10=19[/tex]

And there is your answer.

Hope this helps. Have a nice day.

Triangle ABC has vertices A (6, 1), B (1,7), and C (-3, -2). The translation to create triangle A'B'C' is (x, y) + (x-1, y +2).

Which of the following will be the coordinates of the vertices of triangle A'B'C?

A (5,2), (0, -4), (0,9)
B (5,3), (0, -4), (0,8)
C (5,3), (0,9), (-4,0)
D (5,2), (1, -3), (0,9)​

Answers

Answer:

I think C is the answer

The lateral surface area is _ square centimeters.

Answers

Answer: 24

Step-by-step explanation:

-2(n+3)=13 help plz plz plz

Answers

First move the -2 to the other side
Since it is multiplying the brackets we do the opposite and divide 13 by -2
We now have n+3=6.5
Now to get n as the subject we do the opposite of plus 3 so we minus 3 from the other side
So n=3.5

Answer:

n = -9.5 or n = -19/2

Step-by-step explanation:

ANSWER BOTH QUESTIONS

Answers

Answer:

a and c

Step-by-step explanation:

The opposite of 1.5 is ? So the opposite 1.5 ? Which is equal to the opposite of ? Which is ? The second statement is ?

Answers

I think the opposite of 1.5 is -1.5

Use the equation below to find y, if m=6, x=4, and b= 15. y=mx-b​

Answers

Answer:

9

Step-by-step explanation:

Y = MX-B,

therefore Y = (6*4) - 15,

so Y = 24 - 15

Y = 9

given the equation y = 2x - 8 what is the slope and the y-intercept​

Answers

Answer:

slope: 2

y intercept 0, -8

Slope is 2 and y-intercept is -8. This is because of the equation y=mx+b. M is slope and b is y intercept

Can someone please answer this!!

Answers

The answer to your question is B

What is the midpoint of the segment below? (-12, -3) (3, -8)

Answers

Your answer is: D.

(-9/2,-11/2) use the midpoint formula

a quadratic patterns has a second term equal to 1,a third term equal to -6 and fifth term equal to -14 .hence or otherwise calculate the first term of the pattern​

Answers

Answer:

first term of the pattern​ (T₁) : 10

Step-by-step explanation:

T₁  ;    1 ;    -6 ;   T₄ ;    -14  

1-T₁  ;  -6-1   ; T₄-(-6)  ; -14 -T₄    (First Tₙ-Tₙ₋₁)

-8+T₁  = T₄+13 = -2T₄-20            (2nd Tₙ-Tₙ₋₁ is constant)

T₄+13 = -2T₄-20          3T₄ = -33          T₄ = -11

-8+T₁  = T₄+13         -8 + T₁ = -11 + 13 = 2

T₁ = 10

I need halp with one is it?

Answers

Answer: 66ft

Step-by-step explanation:

9 x 5 = 45 + 7 x 3 = 21

45+21=66

Answer:

I am pretty sure it is 66 ft

Step-by-step explanation:

If u just do the top 2x3= 6 and then u multiply 5x12=60 then you add 6 and 60 which is 66

please help
85-v=213
solve for v

Answers

Step-by-step explanation:

subtract the whole equation by 85 on both sides to get v by itself on the left side

85-85-v=213-85

-v=128

Now we divide the whole equation by negative 1

-1v/-1=128/-1

v=-128

Hope that helps :)

PLEASE HELP!
Find the area of each figure.
18 square units
9 square units
12 square units
24 square units
MATCH THE NUMBERS TO THE GRAPHS!!!!!

Answers

I do know the first figure is 24 square feet.

To get your answer,

Count the amount of the blocks stacked on top each other to make the length, in this case the first photo would be 3, and the width of the block, which is 8. To get the area, you would multiply the length and width together.

Image Form:

l x w = a

(length x width = area)

I hope this is a clear explanation!

Answer:

first one is 24

second one is 12

third one is 9

fourth one is 18

Step-by-step explanation:

Hey guys I need some help; I would really appreciate it :)

Answers

Their answer is correct so you need explanation?

Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 Jars of jelly
and 5 jars of peanut butter for $15.67.
Use x for jars of jelly and y for jars of peanut butter, write the equation for either Erin or Jack.
DO NOT SOLVE
(Worth 10 points)

Answers

Here is your system of equations in two variables.

Equation for Erin:

4x + 6y = 19.32

Equation for Adam:

3x + 5y = 15.67

That's it.

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