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iVinArrow [24]
3 years ago
7

Previously, an organization reported that teenagers spent an average of 4.3 hours per week, on average, on the phone. The organi

zation thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 5.75 hours with a sample standard deviation of 2.0. What are the null and alternate hypotheses
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
7 0

Answer:

The null hypothesis is H_{0} = 4.3.

The alternate hypothesis is H_{a} > 4.3

Step-by-step explanation:

Null hypothesis:

The previously report, the known value.

Alternate hypothesis:

What is questioned(higher, lower, different,...) of the null hypothesis

Previously, an organization reported that teenagers spent an average of 4.3 hours per week, on average, on the phone.

This means that the null hypothesis is H_{0} = 4.3.

The organization thinks that, currently, the mean is higher.

That is, higher than 4.3. So

The alternate hypothesis is H_{a} > 4.3

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Since we know a circle has 360 degrees, the sector bounded by a 90 degree arc will be a quarter of circle (360/90 = 4). Then, to calculate the area of that sector, we can calculate the total area of the circle of radius 10, and then divide it by 4.

The area of a cirlce of radius r is:

A=\pi r^2

Then, the area of the sector would be:

A_s=\frac{\pi r^2}{4}A_s=\frac{\pi(10m)^2}{4}=\frac{100\pi}{4}m^2A_s=25\pi m^2

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1 year ago
I need help in math. I think it is x > -6
Alborosie

Answer:

C. x  >  6

Step-by-step explanation:

Solve for  x  by simplifying both sides of the inequality, then isolating the variable.

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3 years ago
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The surveyor sets up the instrument to determine the height at the highest point on the hill. She determines that she is standin
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Answer:

(a)\ h = d * \tan(\theta)

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Step-by-step explanation:

Given

\theta = 17^o

d =100m

h = ??

See attachment for illustration

Solving (a): Trigonometry ratio to calculate h.

From the attachment, we have:

\tan(\theta) = \frac{h}{d}

Multiply both sides by d

d * \tan(\theta) = \frac{h}{d} * d

d * \tan(\theta) = h

Rewrite as:

h = d * \tan(\theta)

Solving (b): The value of h

We have:

\theta = 17^o

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3 years ago
Find the sample space for the experiment.
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Answer:

S ={(1+1=2), (1+2=3), (1+3=4), (1+4=5), (1+5=6), (1+6=7),

     (2+1=3), (2+2=4),(2+3=5),(2+4=6),(2+5=7),(2+6=8),

     (3+1=4), (3+2=5),(3+3=6),(3+4=7),(3+5=8),(3+6=9),

     (4+1=5), (4+2=6),(4+3=7),(4+4=8),(4+5=9),(4+6=10),

     (5+1=6), (5+2=7),(5+3=8),(5+4=9),(5+5=10),(5+6=11),

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Step-by-step explanation:

By definition the sample space of an experiment "is the set of all possible outcomes or results of that experiment".

For the case described here: "Toss a six-sided die twice and record the sum of the results".

Assuming that we have a six sided die with possible values {1,2,3,4,5,6}

The sampling space denoted by S and is given by:

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     (6+1=7), (6+2=8),(6+3=9),(6+4=10),(6+5=11),(6+6=12)}

The possible values for the sum are 2,3,4,5,6,7,8,9,10,11,12

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