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evablogger [386]
3 years ago
12

A newspaper article says that on the average, college freshmen spend 7.5 hours a week going to parties.14 One administrator does

not believe that these figures apply at her college, which has nearly 3,000 freshmen. She takes a simple random sample of 100 freshmen, and interviews them. On average, they report 6.6 hours a week going to parties, and the SD is 9 hours. Is the difference between 6.6 and 7.5 real? (a) Formulate the null and alternative hypotheses in terms of a box model. (b) Fill in the blanks. The null says that the average of the box is . The alternative says that average of the box is . (c) Now answer the question: is the difference real?
Physics
1 answer:
Zielflug [23.3K]3 years ago
5 0

Answer:

a.

The hypothesis Null and alternative can be formulate as a :

H0 = μ = 7.5 hr / week

Hₐ = μ < 7.5 hr / week

b.

The Null hypothesis is true and the administrator believes that the college freshman dot not spend 7.5 hours

E(x) = μ = 7.5 hr / week

SE (x) = σ / √ n = 9 / √100

SE (x) = 0.9

Z' = 6.6 - 7.5 / SE

Z' = 6.6 -7.5 / 0.9 = -1  

The empirical rule in this case is use

% = (100 - 68 ) / 2 = 16%

c.

There is not strong arguments of Null Hypothesis so can be accept the H0 and is no significantly different from the report of 7.5 hr / week

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A 3.8kw elective motor powers an inclined conveyer belt. It is designed to lift heavy boxes from the warehouse floor to loading
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Answer:

See the answers below

Explanation:

To solve this problem we must use the definition of power and work in physics.

a)

The function of the conveyor belt is to carry the boxes from an initial point that is at low altitude to an end point that is at high altitude. In this way the conveyor belt prints a speed to the box to be able to raise it to the required vertical distance.

Since we have a velocity at the beginning and then we place the box at a high position, where then the box remains at rest, we can say that it converts kinetic energy to potential energy.

b)

Power is defined as the relationship of work over time. Therefore we have:

P=W/t

where:

P = power = 3.8 [kW] = 3800 [W]

W = work [J]

t = time = 14 [s]

W=P*t\\W=3800*14\\W= 53200[J] = 53.2[kJ]

c)

Since the given time is equal to the given time at Point b, we can use the same work calculated.

We know that work is defined as the product of force by the distance traveled.

W =F*d

So, the force is equal to:

F=W/d\\F=53200/5.3\\F=10037.73[N]

Now we know that force is defined as the product of mass by gravitation acceleration.

F =m*g

where:

F = force or weight = 10037.73 [N]

g = gravity acceleration = 9.81 [m/s²]

m = mass [kg]

m=F/g\\m = 10037.73/9.81\\m = 1023.2 [kg]

d)

This part can be solved by means of the energy conservation theorem, where the potential energy is transformed into kinetic energy or vice versa.

E_{pot}=m*g*h = E_{kin}=0.5*m*v^{2}

where:

h = elevation = 4.7 [m]

v = velocity [m/s]

m*g*h=0.5*m*v^{2}\\g*h=0.5*v^{2} \\v=\sqrt{\frac{g*h}{0.5} } \\v=\sqrt{\frac{9.81*4.7}{0.5} }   \\v = 9.6 [m/s]

7 0
2 years ago
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