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
zimovet [89]
3 years ago
13

Two types of plastics are suitable for an electronics component manufacturer to use. The breaking strength of this plastic is im

portant. It is known that the standard deviations of the two types of plastics are the same, with a value of 1.0 psi. From a random sample of 10 and 12 for type 1 and type 2 plastics, respectively, we obtain sample means of 162.5 and 155. The company will not adopt plastic 1 unless its mean breaking strength exceeds that of plastic 2 by at least 10 psi.
(a) Based on the sample information, should it use plastic 1? Use α = 0.05 in reaching a decision. find the P-value.

(b) Calculate a 95% confidence interval on the difference in means. Suppose that the true difference in means is really 12 psi.

(c) Find the power of the test assuming that α = 0.05.

(d) If it is really important to detect a difference of 12 psi, are the sample sizes employed in part (a) adequate, in your opinion?

Mathematics
1 answer:
UNO [17]3 years ago
8 0

Answer:

a. We fail reject to the null hypothesis because zo = -5.84 < 1.65 = zα and P-value = 1 (approximately)

b. The confidence Interval for u1 - u2 is; 6.79 ≤ u1 - u2

c. The power of the test = 1 -

β = 0.998736

d. The sample size is adequate because the power of the test is approximately 1

Step-by-step explanation:

Given

Standard Deviations; σ1 = σ2 = 1.0 psi

Size: n1 = 10; n2 = 12

X = 162.5; Y = 155.0

Let X1, X2....Xn be a random sample from Population 1

Let Y1, Y2....Yn be a random sample from Population 2

We assume that both population are normal and the two are independent.

Therefore, the test statistic

Z = (X - Y - (u1 - u2))/√(σ1²/n1 + σ2²/n2)

See attachment for explanation

You might be interested in
Marsha has some math exercises to do for homework. She did one half during study period and two thirds of those remaining while
Paha777 [63]

Answer: She has 1 5/6 exercises for homework.

Step-by-step explanation:

1/2 + 2/3 = 1 1/6

2 * 3 = 6 3 * 2 = 6

1 * 3 = 3 2 * 2 = 4

4 + 3/ 3 + 3

7/6 = 1 1/6

So, she finished 1 1/6 of her problems.

3 - 1 1/6 = 1 5/6

3 - 1 = 2

2 - 1/6 = 1 5/6

8 0
3 years ago
Read 2 more answers
Henry and 28 classmates go to the roller skating rink . Each van can hold 11 students . If all of the vans are full except one h
Rudik [331]
You divide 29:11= 2 7/11
so you have 2 full vans and one with 7 students.
so the answer is 7
8 0
3 years ago
Read 2 more answers
There are 12 crayons in a box. How many boxes will be needed for 8 children if each child gets 7 crayons?
nata0808 [166]

Each child gets =7×8=56crayoms

  • One box contains 12 crayons

Total boxes

  • 56/12
  • 4.66

Round to next whole as we can't have depict

  • 5 boxes
8 0
2 years ago
Solve 4\5x-4\10=2\20
Soloha48 [4]
4/5x - 4/10 = 2/20...multiply everything by common denominator 20
16x - 8 = 2
16x = 2 + 8
16x = 10
x = 10/16 which reduces to 5/8 <=
5 0
3 years ago
PLEASE HELP ASAP
Shtirlitz [24]

Answer:

i think its photosinthisis because...

Step-by-step explanation:

Sometime around 3 billion years ago (about 1.5 billion years after Earth formed!), photosynthesis began. Photosynthesis allowed organisms to use sunlight and inorganic molecules, such as carbon dioxide and water, to create chemical energy that they could use for food.

Hope this helps and maybe a brainlest?

8 0
3 years ago
Other questions:
  • A circus performer is shot out of a cannon and into a net with an acceleration of 1.5 g. What is her acceleration in meters per
    10·1 answer
  • P^2=-3p+40 factor this problem
    11·1 answer
  • There were 3,905 more hits on the schools website in January than February. February had 9,854 hits. How many hits did the schoo
    11·1 answer
  • Addition properties and strategies to find sum
    5·1 answer
  • I have 12 coins in nickels and dimes. if the total value of these coins is 85 cents, how many nickels are in this collection
    5·1 answer
  • A slice is made perpendicular to the base of a right rectangular prism as shown.
    9·1 answer
  • 2 1/3 * 2 1/4 * 1 3/8
    6·1 answer
  • Can i please get help with this
    10·1 answer
  • A rectangle measures 2 1/2 meters by 1 3/4 meters. What is its area?
    10·1 answer
  • HELP WHAT IS THE SLOPE!!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!