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
Anton [14]
3 years ago
10

A manufacturer claims that the mean tensile strength of thread A exceeds the average tensile strength of thread B. To test his c

laim, 16 sample pieces of each type of thread are tested under similar conditions. Type A thread had a sample average tensile strength of 185 kg with a standard deviation of 6 kg, while type B thread had a sample average tensile strength of 178 kg with a standard of 9 kg. Assume that both populations are normally distributed and the variances are equal. Test the manufacturers claim using a = 0.05 level of significance.

Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0

The complete part of the first sentence is;

A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 12 kilograms.

Answer:

we fail to reject the null hypothesis and conclude that the difference of the average tensile strength of thread A and thread B is less than 12

Step-by-step explanation:

We are given;

n_A = 16

n_B = 16

x'_A = 185 kg

x'_B = 178 kg

s_A = 6 kg

s_B = 9 kg

Let μ_A denote the population average tensile strength of thread A

Also, Let μ_B represent the population average tensile strength of thread B

Thus;

Null Hypothesis; H0;μ_A - μ_B ≤ 12

Alternative hypothesis;H1; μ_A - μ_B > 12

From the image attached, with a significance level of 0.05, the critical value for right tailed is 1.645. So we will reject the hypothesis is z > 1.645

Formula for z is;

z = (x'_A - x'_B - d_o)/√((s_A²/n_A) + (s_B²/n_B))

Plugging in the relevant values, we have;

z = (185 - 178 - 12)/√((6²/16) + (9²/16))

z = -5/2.7041634566

z = - 1.849

Since the z-value is less than 1.645,we fail to reject the null hypothesis and conclude that the difference of the average tensile strength of thread A and thread B is less than 12

You might be interested in
Which of these expressions is equivalent to – 4(5 – 2x)?
Alekssandra [29.7K]

Answer:

-20+8x

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Select all the exspressions that are all equivalent to 20 percent of 150
Dmitriy789 [7]

<em>Note: It seems you may have unintentionally missed adding the answer choices. Thus, I am solving your question in general to give you the idea of how the percentage works, which anyways would solve your query.</em>

<em></em>

Answer:

Please check the explanation.

Step-by-step explanation:

Given that we have to determine the expressions which are equivalent to 20 percent of 150.

First, we need to determine what actually 20 percent of 150 really brings.

i.e

20% of 150 = 20/100 × 150

                   = 30

Thus,

20% of 150 = 30

Therefore, any expression that is equivalent to 30 will be included in the answer to this question.

4 0
2 years ago
ABCD is a parallelogram. Find the measure of angle , (Give reason)
Naddika [18.5K]

Answer:

D=100(opposites angles are equal)

A=C=80 (adj angles are supplementry)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the common ratio of the sequence. 2, –10, 50, –250, –5  1/-5 –12 12
Sholpan [36]
-5
This is just to fill out the space of twenty characters

6 0
3 years ago
Read 2 more answers
Arvida scored 40 points in the first game against Ammons Middle. During the second game Arvida scored 56 points. By what percent
olga55 [171]

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.^{}ly/3a8Nt8n

8 0
3 years ago
Other questions:
  • If 4 liters of motor oil cost $3.88, what is the price for 1 liter?
    12·2 answers
  • Find the coordinates of the missing endpoint if P is the midpoint of Line Segment NQ.
    14·1 answer
  • How many minutes are in 91/4 hours?
    8·2 answers
  • Given a bottle with a height vs. volume graph that is created as the bottle is consistently filled with liquid, describe the cor
    6·1 answer
  • Are the following two expressions equivalent? 7+7x ; 7 (x+ 1/7 )
    8·1 answer
  • Simplify the expression.<br> 3.4m + 9 - 2.4m =blank
    9·1 answer
  • Find an equation of the line that is perpendicular to y = 1/7x + 5 and has a y-intercept of — 2. Write your answer in the form y
    9·1 answer
  • 1
    9·1 answer
  • QUESTION 3. ANSWER CHOICE'S ARE THE SECOND PICTURE. PLEASE ANSWER ALL I WILL GIVE BRAINLEST
    6·1 answer
  • Decrease 100kg by 30%
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!