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
andriy [413]
3 years ago
15

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of

20 lb. A sample of 40 is randomly selected and the average strength was found as 105lb. Let μ denote the average tuft strength. Could it be that the average tuft strength is above 100 lb? Based on the information, what should be the appropriate null and alternative hypotheses for the purpose of your analysis?
Mathematics
1 answer:
emmasim [6.3K]3 years ago
3 0

Answer:

The null hypothesis is: H_{0}: \mu = 100

The alternative hypothesis is: H_{a}: \mu > 100

Step-by-step explanation:

At the null hypothesis, we test if the mean is equal to a certain value.

At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.

This means that the null hypothesis is: H_{0}: \mu = 100

Could it be that the average tuft strength is above 100 lb?

The world above means that the appropriate alternative hypothesis is: H_{a}: \mu > 100

You might be interested in
Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and cos ∠X = 2 and 5 tenths over 5 and 59 hundredths.
Maru [420]

Based on the above, the Triangle XYZ and ACB are known to be similar triangles since tanX = tanA = 5 over 2 and 5 tenths;

Hence:

  • AC = 2 x  XY
  • CB = 2  x YZ

<h3>What is the triangle about?</h3>

From the question given; Triangle XYZ is known to have been dilated by a scale factor of 2 to form a type of triangle known as triangle  ACB, So therefore, XYZ and ACB are known to be the same or similar triangles.

Since Angles Y and C are known to both measure 90 degrees, and angles A and X are said to be congruent. Therefore:

tanX = tanA = 5 over 2 and 5 tenths

AC = 2  x  XY

CB = 2  x  YZ

For part B:

cosX=Base/Hypotenuse

cos A=AC/AB

AC =  2.05

AB = 5.59

Therefore, Based on the above, the Triangle XYZ and ACB are known to be similar triangles since tanX = tanA = 5 over 2 and 5 tenths;

Hence:

  • AC = 2 x  XY
  • CB = 2  x YZ

Learn more about triangles from

brainly.com/question/27517432

#SPJ1

5 0
1 year ago
6=m/8 what does m equal
sp2606 [1]

Answer:

m = 48

Step-by-step explanation:

6=m/8

Multiply each side by 8

6*8 = m/8 *8

48 = m

8 0
3 years ago
Read 2 more answers
Can you show me the graph for f(x) = 1/2 x + 2
frez [133]

Here is the graph with your line in it.

4 0
3 years ago
Read 2 more answers
The solution to 7x = 42 is x = ___.<br><br> A.4<br> B.5<br> C.6<br> D.7
Sidana [21]
C.6

7x = 42 => x = 42/7 = 6
3 0
3 years ago
Read 2 more answers
How long will it take to earn $252 in interest if $1200 is invested at 7% annual rate interest?
bogdanovich [222]
 it takes 3 years.formula interest =PRT/100 so its 252 =1200 times 7 times T all over 100 then multiply by 100 both sides to get 25200=8400T devide by 8400 both sides to get 3


7 0
2 years ago
Other questions:
  • In 30 seconds, 2-year-old Janay's heart beats 36 times.
    10·2 answers
  • 1.Solve for t.<br><br> 3t + 35=6<br><br><br><br> Enter your answer in the box.<br><br> t =
    9·2 answers
  • A large company that must hire a new president prepares a final list of five candidates,all of whom are equally qualified. Two o
    9·1 answer
  • How to find the surface area of a 3D shape?
    8·1 answer
  • 12 imperial inches equals how many meters
    13·1 answer
  • For how many weeks would the class need to have car washes to earn $5000.
    15·1 answer
  • Solve for x ... x/6 = 2
    10·2 answers
  • [18].Simplify (TTE): x(2x+y+5) - 2(x²+xy+5) + y(x + y) <br>​
    15·1 answer
  • 226 IN EXPANDED FORM
    11·2 answers
  • What's the additive inverse of - 1/4
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!