Question
In: Statistics and Probability
QUESTION 5. Company X wants to procure products from two different suppliers it has determined, but...
QUESTION 5. Company X wants to procure products from two different suppliers it has determined, but has doubted the quality of these suppliers' products. For this reason, he took random samples from both suppliers before placing their exact orders. He bought 50 products randomly from supplier A, and their average survival time was 153 hours and standard deviation was 10 hours. The average duration of 50 products bought from supplier B was 150 hours and the standard deviation was 5 hours. Accordingly, what is the probability that the difference between the two suppliers' durability of their products will be more than 7 hours?
Solutions
Expert Solution
We have Xa = 153, Sa = 10, na = 50
Xb = 150, Sb = 5, nb = 50
The difference bwtween the two suppliers' durability of their products will be more than 7 hours, so D = 7
Here X is average sample survival time and S is the sandard deviation, n is the number of products
Z-score = (Xa - Xb - D) / 
Sa2 / na + Sb2 / nb
= (153 - 150 - 7) /
102 / 50 + 52 / 50
= -3 /
2 + 1/2
= -3/
2.5
= -3 / 1.5811
= -1.89737
Now we will calculate the p-value from the z-score
p-value will be area to the left of z-score which can be calculated from the negative z-table attached below
p-value for z-score of -1.90 the nearest z-score to -1.89737 is 0.02872.
But as we know that the p-value is the area to the left of z-score. So it is P(D<7), but we want P(D>7)
P(D>7) = 1 - P(D<7)
= 1 - 0.02872
= 0.97128 approximately
probability that the difference between the two suppliers' durability of their products will be more than 7 hours is 0.97128
orchestra answered 2 years agoRelated Solutions
A total of n different products will be ordered from m different suppliers, i) Find the...
A total of n different products will be ordered from
m different suppliers,
i) Find the probability that a given supplier
will receive exactly k orders
ii) Find the probability that one of the
suppliers will receive two thirds of the orders.
Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers have limited capacity,...
Edwards Manufacturing Company purchases two component parts from
three different suppliers. The suppliers have limited capacity, and
no one supplier can meet all the company’s needs. In addition, the
suppliers charge different prices for the components. Component
price data (in price per unit) are as follows:
Supplier
Component
1
2
3
1
$12
$14
$10
2
$14
$12
$10
Each supplier has a limited capacity in terms of the total
number of components it can supply. However, as long as...
Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers have limited capacity,...
Edwards Manufacturing Company purchases two component parts from
three different suppliers. The suppliers have limited capacity, and
no one supplier can meet all the company’s needs. In addition, the
suppliers charge different prices for the components. Component
price data (in price per unit) are as follows:
Supplier
Component
1
2
3
1
$10
$14
$10
2
$16
$12
$10
Each supplier has a limited capacity in terms of the total
number of components it can supply. However, as long as...
Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers have limited capacity,...
Edwards Manufacturing Company purchases two component parts from
three different suppliers. The suppliers have limited capacity, and
no one supplier can meet all the company’s needs. In addition, the
suppliers charge different prices for the components. Component
price data (in price per unit) are as follows:
Supplier
Component
1
2
3
1
$12
$14
$10
2
$14
$12
$10
Each supplier has a limited capacity in terms of the total
number of components it can supply. However, as long as...
Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers have limited capacity,...
Edwards Manufacturing Company purchases two component parts from
three different suppliers. The suppliers have limited capacity, and
no one supplier can meet all the company’s needs. In addition, the
suppliers charge different prices for the components. Component
price data (in price per unit) are as follows:
Supplier
Component
1
2
3
1
$12
$12
$11
2
$10
$12
$10
Each supplier has a limited capacity in terms of the total
number of components it can supply. However, as long as...
Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers have limited capacity,...
Edwards Manufacturing Company purchases two component parts from
three different suppliers. The suppliers have limited capacity, and
no one supplier can meet all the company’s needs. In addition, the
suppliers charge different prices for the components. Component
price data (in price per unit) are as follows:
Supplier
Component
1
2
3
1
$12
$13
$10
2
$15
$12
$10
Each supplier has a limited capacity in terms of the total
number of components it can supply. However, as long as...
Problem 4-11 (Algorithmic) Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers...
Problem 4-11 (Algorithmic)
Edwards Manufacturing Company purchases two component parts from
three different suppliers. The suppliers have limited capacity, and
no one supplier can meet all the company’s needs. In addition, the
suppliers charge different prices for the components. Component
price data (in price per unit) are as follows:
Supplier
Component
1
2
3
1
$12
$13
$10
2
$15
$12
$10
Each supplier has a limited capacity in terms of the total
number of components it can supply. However,...
Problem 9-11 (Algorithmic) Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers...
Problem 9-11 (Algorithmic)
Edwards Manufacturing Company purchases two component parts from
three different suppliers. The suppliers have limited capacity, and
no one supplier can meet all the company’s needs. In addition, the
suppliers charge different prices for the components. Component
price data (in price per unit) are as follows:
Supplier
Component
1
2
3
1
$10
$10
$15
2
$11
$10
$10
Each supplier has a limited capacity in terms of the total
number of components it can supply. However,...
Problem 4-11 (Algorithmic) Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers...
Problem 4-11 (Algorithmic)
Edwards Manufacturing Company purchases two component parts from
three different suppliers. The suppliers have limited capacity, and
no one supplier can meet all the company’s needs. In addition, the
suppliers charge different prices for the components. Component
price data (in price per unit) are as follows:
Supplier
Component
1
2
3
1
$10
$14
$10
2
$12
$12
$10
Each supplier has a limited capacity in terms of the total
number of components it can supply. However,...
A manufacturing company is purchasing metal pipes of standard length from two different suppliers, ABC and...
A manufacturing company is purchasing metal pipes of standard
length from two different suppliers, ABC and XYZ. In the past two
months there are increasing complaints by the Production Manager
that delivery times by ABC present higher variability in comparison
to the delivery times by XYZ. The Production Manager is worried
that this variability will make it harder to efficiently schedule
the production process.
If the variance of XYZ remains unchanged, what should be the
variance of ABC in order...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- 1. Consider the following nuclides: &
- In general, teams can be described three ways. Name and define each.
- JAVASCRIPT: Please create an array of student names and another array of student grades. - Create...
- Topic - Construction: Structural, loads, tension 1.) Explain why pure tension members are the most efficient...
- Procter and Gamble (PG) paid an annual dividend of $ 1.62$1.62 in 2009. You expect PG...
- locate a recent case of online child pornography. Write a summary of the incident and describe...
- #Python 5. Write function called evaluate() that evaluates the following Python expressions or assignments as specified:...
ADVERTISEMENT