1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Masteriza [31]
3 years ago
10

A company is approached by a new warehouse management systems vendor to adopt a new system. The vendor claims that the warehouse

management system reduces the average pick, pack, and ship time to below 3 minutes per order through bin location and routing optimization. You are given an opportunity visit an existing customer of the vendor. The customer allowed you to collect data for further analysis. You performed a time study and collected data about pick, pack ship duration of 25 shipments. Given, the data in the attached excel sheet
(Q1) perform a hypothesis testing by Use alpha=0.05 for hypothesis testing.
a. Stating your null and alternate hypotheses
b. Perform the proper hypothesis test and discuss your assessment of the vendor's claim.

Mathematics
1 answer:
Ludmilka [50]3 years ago
5 0

Answer:

a

     The null hypothesis  is  H_o  :  \mu  = 180

      The alternative hypothesis is  H_a :  \mu  <  180

b

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

Step-by-step explanation:

From the question we are told that

     The population mean is  \mu  =  3 \  minutes =  180 \  seconds

     The sample  size is  n =  25

     The excel sheet is show on the first uploaded image

     The level of significance is  \alpha =  0.05

     The null hypothesis  is  H_o  :  \mu  = 180

      The alternative hypothesis is  H_a :  \mu  <  180

Generally the sample mean is mathematically represented as

        \= x  =  \frac{156 + 136 + \cdots  + 181}{25}

=>      \= x  = 173.2

Generally the standard deviation is mathematically represented as

      \sigma  =  \sqrt{\frac{\sum  (x_i - \= x )^2 }{n} }

=>    \sigma  =  \sqrt{\frac{  (156 - 173.2 )^2 + (136 - 173.2 )^2  + \cdots + (181- 173.2 )^2  }{25} }

=>    \sigma  =  24.261

Generally the test statistics is mathematically represented as

      t =  \frac{\= x  -  \mu }{\frac{\sigma}{\sqrt{n} } }

=>   t =  \frac{173.2 -  180 }{\frac{24.261}{\sqrt{25} } }

=>   z = -1.40    

Generally p-value is mathematically represented as

  p-value  =  P(Z <  z)

=>  p-value  =  P(Z < -1.40)

From the z-table  

   P(Z < -1.40) =  0.080757

=>   p-value  = 0.080757

From the obtained value we that  p-value >  \alpha

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

   

You might be interested in
<img src="https://tex.z-dn.net/?f=4%E2%88%9216%C3%B74%2B4%C2%B2" id="TexFormula1" title="4&minus;16&divide;4+4&sup2;" alt="4&min
neonofarm [45]

Answer:

16

Step-by-step explanation:

4−16÷4+4² \\  \\  = 4 -  \frac{16}{4}  + 16 \\  \\  = 4 - 4 + 16 \\  \\  = 16

8 0
3 years ago
Como funciona una tanda?
SVETLANKA909090 [29]

tipo de lote? para qué tema

5 0
3 years ago
Please solve : -9b(b+2)=0
Illusion [34]

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−9b2−18b=0

Step 2: Factor left side of equation.

(−9b)(b+2)=0

Step 3: Set factors equal to 0.

−9b=0 or b+2=0

b=0 or b=−2

4 0
3 years ago
If you plot the distance a train travels as a function of time and get a straight line, you can then find the slope of that line
mezya [45]
The slope ia the Average Speed
3 0
3 years ago
Read 2 more answers
If sin42 degrees = 2/3 then cos48 degrees = what? <br> If tan20.5= 3/8, the tan69.5= what?
Anna11 [10]

Big ifs, question writers. These are of course approximations.

The "co" in cosine comes from complementary angles. It means since

42^\circ + 48 ^\circ = 90^\circ

\sin 42^\circ = \cos 48^\circ

Answer: cos 48° = 2/3

Similarly,

20.5^\circ +69.5^\circ = 90^\circ

\tan 69.5^\circ = \cot 20.5^\circ = \dfrac{1}{\tan 20.5^\circ} = \dfrac 8 3

Answer: tan 69.5° = 8/3

5 0
3 years ago
Other questions:
  • The measure of one side of a square is (s + 3) inches. Write two different expressions to express the perimeter of this square.
    15·1 answer
  • 3Q + 4T = 26. P=2T=3Q l. What is 6P?
    5·2 answers
  • Which equation best represents the line?
    6·1 answer
  • How many possibilities are there to land on 6 when you spin a spinner with 8 sections?
    9·1 answer
  • The total number of students enrolled in MATH 123 this semester is 5,780. If it
    5·1 answer
  • Consider the numbers 0, 10, 20, 30, and 40. Multiply each by 4 and compare the result to 60 to determine into which of the follo
    8·1 answer
  • Solve the equation for y. Then find the value of y for each value of x.
    10·1 answer
  • Use the quadratic formula x^2-5x+3=0
    14·1 answer
  • The school Amina goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior c
    12·1 answer
  • (Please someone help me!) (NO links!)<br>Please hurry! I need to get this done fast!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!