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
Help me please. <br> F(x) = 4 - 3x <br> f(10) =
tigry1 [53]

Answer:

f(10) = - 26

Step-by-step explanation:

To evaluate f(10), substitute x = 10 into f(x), that is

f(10) = 4 - 3(10) = 4 - 30 = - 26

8 0
3 years ago
identify an equation in point-slope form for the line parallel to y=-2/3x+8 that passes through (4,-5)
MariettaO [177]

Answer:

y +5 = (-2/3)(x -4)

Step-by-step explanation:

The point-slope form of an equation of a line with slope m through point (h, k) is ...

... y -k = m(x -h)

You have (h, k) = (4, -5) and a slope the same as that of the parallel line, m = -2/3. Then the equation is ...

... y -(-5) = (-2/3)(x -4)

... y +5 = (-2/3)(x -4)

7 0
3 years ago
Find the angles of a parallelogram in which an exterior angle is one-third that its interior angle.​
iogann1982 [59]

Answer:

The angles of a parallelogram are 135°-45°-135°-45°

Step-by-step explanation:

we know that

In a parallelogram opposites angles are congruent and consecutive angles are supplementary

Remember that  

The sum of a exterior angle and its interior angle is equal to 180 degrees

Let

x ----> the measure of one interior angle of parallelogram

y ----> the measure of the other interior angle of  parallelogram

we have that

x+\frac{x}{3}=180^o

solve for x

\frac{4}{3}x=180^o\\\\x=(180^o)3/4\\\\x=135^o

<em>Find the measure of the other interior angle of parallelogram</em>

Remember that consecutive interior angles are supplementary

x+y=180^o

substitute the value of x

135^o+y=180^o

solve for y

y=45^o

therefore

The angles of a parallelogram are 135°-45°-135°-45°

3 0
3 years ago
How do you solve for 3x-3=9
Brrunno [24]

Answer:

x=4

Step-by-step explanation:

3x-3=9

   +3=+3

3x=12

3x=12

divide both sides by 3

leaving x by itself

12/3=4

x=4

5 0
2 years ago
Read 2 more answers
Which equation represents the line that has a slope of 1/2<br> and contains the point (0, 3)?
RideAnS [48]
Y - 3 = 1/2 (x) ......
4 0
3 years ago
Read 2 more answers
Other questions:
  • Make a 10 or 100 to subtract mentally 76-59 =
    14·2 answers
  • The table below shows the number of restaurants advertisement in a city directory.
    13·1 answer
  • Find the equation of the line.
    8·1 answer
  • A performer excepts to sell 5,000 tickets for an upcoming concert. They want to make a total of $311,000 in sales from these tic
    14·1 answer
  • Solve -4 b + 2 = 18.<br><br> b =
    12·2 answers
  • Find the area of the composite shapes. (picture)
    8·1 answer
  • If these two shapes are similar, what is the measure of the missing length d?
    15·1 answer
  • The hypotenuse of a right triangle is 10m long. The shorter leg is 2m shorter than the longer leg. Find the side lengths of the
    8·1 answer
  • PLEASE HELP IM STUCK
    14·1 answer
  • Sweet Dreams Bakery sells apple, cherry, and pumpkin pies. Yesterday, the bakery sold 20 more apple pies than cherry pies, and 1
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!