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.
Answers
Answer:
a
The null hypothesis is [tex]H_o : \mu = 180[/tex]
The alternative hypothesis is [tex]H_a : \mu < 180[/tex]
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 [tex]\mu = 3 \ minutes = 180 \ seconds [/tex]
The sample size is n = 25
The excel sheet is show on the first uploaded image
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 180[/tex]
The alternative hypothesis is [tex]H_a : \mu < 180[/tex]
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{156 + 136 + \cdots + 181}{25}[/tex]
=> [tex]\= x = 173.2 [/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum (x_i - \= x )^2 }{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ (156 - 173.2 )^2 + (136 - 173.2 )^2 + \cdots + (181- 173.2 )^2 }{25} }[/tex]
=> [tex]\sigma = 24.261[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{173.2 - 180 }{\frac{24.261}{\sqrt{25} } }[/tex]
=> [tex] z = -1.40[/tex]
Generally p-value is mathematically represented as
[tex]p-value = P(Z < z)[/tex]
=> [tex]p-value = P(Z < -1.40)[/tex]
From the z-table
[tex]P(Z < -1.40) = 0.080757[/tex]
=> [tex]p-value = 0.080757 [/tex]
From the obtained value we that [tex]p-value > \alpha[/tex]
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
Related Questions
Will give brain if correct segment addition
Answers
Answer:
13) 28
14) 22
15) 24
16)13
Step-by-step explanation:
13) Because they all lie on the same line, AC would be AB+BC, or 16+12, or 28.
14) Same thing as 13, 13+9=22
15) Same thing as others but make an equation
-1+2x+11=3x+3
Simplifying the equation, we get x=7. Now, we plug in x=7 to 3x+3 to get AC.
3(7)+3=21+3=24
16) build the equation:
x+14+x+10=22
2x+24=22
2x=-2
x=-1
Now plug in x=-1 to x+14.
-1+14=13
look into the sky and how many stars do u see
Answers
Answer:
its day time rn
Step-by-step explanation:
step by step explanation
Please Help ASAP PLEASE !!!!!!!
Which mathematical property is demonstrated?
If y=−7 and −7=z, then y = z.
A. symmetric property of equality
B. closure property of multiplication
C. closure property of addition
D. transitive property of equality
Answers
Answer:
transitive property of equality
Step-by-step explanation:
I know cus i took the test also sorry it took so long dude
jana is a graphic designer. She created a poster for her friend’s movie on an 8.5 inches by 11 inches sheet of paper. Her friend’s movie has gotten a lot of publicity, and they want to put Jana’s poster on a billboard that is 12 feet wide and 16 feet high. How can they blow up the poster as much as possible while maintaining the ratio of the sides? a) Determine the length and width of the largest possible poster. b) What is the scale?
Answers
51 = 11b – 15
Solve for b
Answers
Answer:
x = 6
Step-by-step explanation:
51 = 11b – 15
66 = 11b
b = 6
Which is the best estimate of 90/7 divided by 1 3/4?
Answers
Answer:
7 17/49
Step-by-step explanation:
Convert mixed numbers to fractions:
= 90/7 ÷ 7/4
Apply the fraction rule:
= 90/7 * 4/7
Multiply fractions:
90 * 4 / 7 * 7
Simplify:
360/49
Convert improper fractions to mixed numbers:
= 7 17/49
Taylor is driving on the freeway at 55 miles per hour. What question finds her distance
Answers
Answer:
distance(miles) = number of hours driven * 55
Step-by-step explanation:
m∠3 + m∠6 =180° True or False?
Answers
Answer:
False. Because it is the answer.
Answer:
false
Step-by-step explanation:
I agree with the first guy
Edgar made an initial deposit of $3200 into a deposit account, and plans to contribute an additional $175 every month. The account does not pay any interest. After how many months will he have a total of $6000?
Answers
Answer:
16
Step-by-step explanation:
$4.30 makeup; 40% discount
Answers
Answer: free makeup
Step-by-step explanation: girl u got it
Answer:
40 percent of $4.30 is $1.72 and the cost of the makeup after the discount would be $2.58
Step-by-step explanation:
How much does 4 7/5 kg of candy cost if 5/6 of candy costs $7.50?
Answers
Answer:
It costs $42.43
Step-by-step explanation:
Answer:
$1.35
Step-by-step explanation:
7.5÷ 5/6=0.25
0.25x4 7/5=1.35
For a continuous random variable X, P(23 ≤ X ≤ 66) = 0.25 and P(X > 66) = 0.14. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)
Answers
Complete question :
For a continuous random variable X, P(23 ≤ X ≤ 66) = 0.25 and P(X > 66) = 0.14. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)
a. P(X < 66)
b. P(X < 23)
c. P(X = 66)
Answer:
P(X < 66) = 0.86
P(X < 23) = 0.61
P(X = 66) = 0
Step-by-step explanation:
Given that:
X, P(23 ≤ X ≤ 66) = 0.25 and
P(X > 66) = 0.14 ;
Recall:
P(x ≤ a) + p(x ≥ a) = 1
Then ; P(X < 0.66) = 1 - 0.14 = 0.86
Hence,
P(X < 0.66) = 0.86
P(23 ≤ X ≤ 66) = 0.25
P(X < 66) = 0.86
Hence,
P(X < 23) = 0.86 - 0.25 = 0.61
Probability that a continuous random variable is exactly equal to a particular number equals 0
Hence,
P(X = 66) = 0
Find the value of x
(6x+7) (8x-17)
Answers
Answer:
x=12
Step-by-step explanation:
6x+7=8x-17
-6x -6x
7=2x-17
+17 +17
24=2x
÷2 ÷2
12=x
x=12
solve for brainliestA keem measured the capacity of a glass as
2 7 0 mL and the capacity of a Th e rm o s® a s
1 L. He said that the ratio 270 :1 compare s
the capacity of the glass with the cap a c i t y
of the Th e rm o s®. Is his reasoning corre c t ?
E x p l a i n .
Answers
Answer:
[tex]his \: reasoning \: is \: correct.[/tex]
Step-by-step explanation:
[tex]since \: the \: ratio \: of \: the \: glass \: to \:that \\ \: of \: the \: thermos \: is \: in \: the \: fraction : \\ \frac{2 7 0 mL }{1mL} \: which \: is \:270 mL : 1mL \\ then \: the \: keem \: is \: right.[/tex]
The basketball team scored a total
of 80 points, all off of 2-point
baskets and 3-point baskets (no
they didn't make any free throws). If
six 3-point baskets were made, find
the number of 2-point baskets
made.
Answers
Answer:
31 2-point baskets were made
Step-by-step explanation:
We can find how many of the 80 points were made with 2-point baskets by subtracting all the points gained through 3-point baskets. Since there are six 3-point baskets:
# of points through 2-point baskets = 80 - 6(3) = 80 - 18 = 62
To find the number of 2-point baskets that were made, divide the points by the worth of the basket:
# of 2-point baskets made = 62/2 = 31
9514 1404 393
Answer:
31
Step-by-step explanation:
6×3 = 18 of the 80 points were from 3-point baskets, so the remaining 62 points were 2-point baskets.
62 = 2b
62/2 = b = 31
31 2-point baskets were made.
What is the interquartile range of the following data set?
45, 12, 48, 96, 61, 84, 29, 1,72,5,14
a.45
b.33
c.27
d.60
(apex)
Answers
Answer:
The interquartile range is 60 ⇒ D
Step-by-step explanation:
The interquartile range is the difference between the upper quartile and the lower quartile
Let us explain how to find the interquartile range
Arrange the number from smallest to greatestFind its median Q1 (the middle number in the set of numbers)Find the lower quartile Q1 which is the median of the set of the numbers before the median Find the upper quartile Q3 which is the median of the set of the numbers after the median Subtract Q1 from Q3 the answer is the interquartile rangeLet us do these steps to find it
∵ The data set is {45, 12, 48, 96, 61, 84, 29, 1, 72, 5, 14}
→ Arrange them
∴ The data set is {1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96}
∵ They are 11 numbers
∴ The middle number is the 6th number (5 before it and 5 after it)
∵ The 6th number is 45
∴ The median is 45
→ Find the lower set (before the median)
∴ The lower set is {1, 5, 12, 14, 29}
→ Find the lower quartile Q1
∵ The lower quartile is the middle number in this set
∵ There are 5 numbers
∴ The middle one is the 3rd
∵ The 3rd is 12
∴ Q1 = 12
→ Find the upper set (after the median)
∴ The upper set is {48, 61, 72, 84, 96}
→ Find the upper quartile Q3
∵ The upper quartile is the middle number in this set
∵ There are 5 numbers
∴ The middle one is the 3rd
∵ The 3rd is 72
∴ Q3 = 72
→ Subtract them to find the interquartile range
∵ The interquartile range = Q3 - Q1
∴ The interquartile range = 72 - 12
∴ The interquartile range = 60
PLEASE HELP AS FAST AS YOU CAN ASAP DUE IN 30 MINUTES!!!!
the prism is made up of unit cubes. the side length of the unit cube is 1/4 inch
what us the volume of the prism
A. 3/8
B. 8
C. 24
D. 1/64
please explain as well
Answers
Answer:
C
<$&#&#;#;#;#;#
Step-by-step explanation:
1/4= 4x6=24
Answer:
C
Step-by-step explanation:
Solve the logarithmic equation by writing in exponential form or by graphing.
log (7 − 2x) = −1
Answers
Answer:
10^-1 = 7 - 2x
Step-by-step explanation:
20 points!!!
Part A: Solve −mk − 120 > 95 for m. Show your work. (4 points)
Part B: Solve 2c − 9f = 45 for f. Show your work. (6 points)
(20 points)
Answers
Answer:
m= -215/k
f=-5+2c/9
Step-by-step explanation:
Please answer this math questions ASAP thanks the picture is attached !!
Answers
Answer:
The answer is C
Step-by-step explanation:
Both f(x) and g(x) have a domain of [0,infinite). and a range of [0, infinite).
If (-8, 3) is reflected across the x-axis the new point would be
Answers
Answer:
(-8, -3)
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST! IGNORE WHERE IT SAYS 6 POINTS, THATS HOW MUCH ITS WORTH IN THE GRADEBOOK!
Answers
Answer: x = 13
Step-by-step explanation:
They are equal so set them equal and solve for x.
(4x+1) = 53
4x = 52
x = 13
Answer:
Since the lines l and m are parallel,
angle (4x + 1) and angle 53 are both corresponding angles
We know that corresponding angles are equal, so:
4x + 1 = 53
4x = 52
x = 13
I need help with homework in GoMath, 5th Grade, Lesson 2.5
Answers
The Gators football team gained 4 yards on its first play, but lost 9 yards on the
second play. Which of the following best represents the result of these two
plays?
Answers
Answer:
-5 yards
Step-by-step explanation:
4 - 9
= -5
in that two plays:
loss 5 yards
If x = 3(y+w)– 1, what is the value of w in terms of x and y?
Answers
Y=6x+3
Find slope can anyone give me a step by step
Answers
Answer:
slope is 6/1 (or 6)
Step-by-step explanation:
your y-intercept is 3, so that means the point will be (0,3).
from there, you can start plotting points. up 6, over 1 (to the right)
the equation for a line is y=mx+b, so whatever number is in m will always be your slope, and whatever number is in b will be your y intercept
Do you think that students should be proficient in addition before learning multiplication?
answer in 175 words! thank you so much :)
Answers
Answer:
Yes students should be confident in addition before they proceed to mulplication.This is because addition is the base of multiplication and requires mastery before you start,so It would be much easier to solve
in abook 5/8 of the pages have pictures on them given that 70 pages have at least one picture on them work out the total numb in the pages
Answers
Answer:
112 pages
Step-by-step explanation:
Setup a ratio of 5/8 to 70/x and use the butterfly method to solve the equation and get 112. (I know I'm late)
I need help fast
please help
Answers
-2x=8
x=-4
(I’m not sure if this is right but this is how I’d go about it)
0.02 divided by 924.3
Answers
Answer: 0.00002163799
Step-by-step explanation:
Answer:
46,215
Step-by-step explanation:
you just have to divide the bigger number first and then the smallest