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4 years ago

5

A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation i

s 3. Conduct the following test of hypothesis using the 0.01 significance level. H0: μ ≤ 10 H1: μ > 10 Is this a one- or two-tailed test?

1 answer:

velikii [3]4 years ago

5 0

Answer: One tail test.

Step-by-step explanation:

Given : A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3.

Also, The set of hypothesis to conduct a test :-

$H_0:\mu\leq10\\\\H_1:\mu>10$

The kind of test need to perform is dependent upon the alternative hypothesis.

Since, the alternative hypothesis is one tailed (right-tailed), so the test is one tail test.

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Frank wants to know how many people live in each household in his town. He conducts a random survey of 10 people and asks how ma

Zina [86]

Answer:

1.6

Step-by-step explanation:

The average of this ten number is (1+6+2+4+4+3+5+5+2+8)/10=4

So the MAD is (|1-4|+|6-4|+|2-4|+|4-4|+|4-4|+|3-4|+|5-4|+|5-4|+|2-4|+|8-4|)/10

=(3+2+2+0+0+1+1+1+2+4)/10

=1.6

4 0

3 years ago

1. The mechanics at Lincoln Automotive are reborning a 6 in deep cylinder to fit a new piston. The machine they are using increa

Firdavs [7]

Answer:

$0.0239\frac{in^{3}}{min}$

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram of the cylinder. (See attached picture)

This diagram will help us visualize the problem better.

So we start by determining what data we already know:

Height=6in

Diameter=3.8in

Radius = 1.9 in (because the radius is half the length of the diameter)

The problem also states that the radius will increase on thousandth of an inch every 3 minutes. We can find the velocity at which the radius is increasing with this data:

$r'=\frac{1/1000in}{3min}$

which yields:

$r'=\frac{1}{3000}\frac{in}{min}$

with this information we can start solving the problem.

First, the problem wants us to know how fast the volume is increasing, so in order to find that we need to start with the volume formula for a cylinder, which is:

$V=\pi r^{2}h$

where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.

Now, the height of the cylinder will not change at any time during the reborning, so we can directly substitute the provided height, so we get:

$V=\pi r^{2}(6)$

or

$V=6 \pi r^{2}$

We can now take the derivative to this formula so we get:

$\frac{dV}{dt}=2(6)\pi r \frac{dr}{dt}$

Which simplifies to:

$\frac{dV}{dt}=12\pi r \frac{dr}{dt}$

We can now substitute the data provided by the problem to get:

$\frac{dV}{dt}=12\pi (1.9) (\frac{1}{3000})$

which yields:

$\frac{dV}{dt}=0.0239\frac{in^{3}}{min}$

3 0

4 years ago

900 Plus blank equals 3000

frosja888 [35]

900+2,100=3000 that would be ur answer for that question

3 0

3 years ago

Read 2 more answers

Write the number 67,011 In word and expanded form

bazaltina [42]

Sixty-seven thousand eleven
60,000+7,000+10+1

4 0

3 years ago

Read 2 more answers

Use implicit differentiation to find an equation of the tangent line to the curve at the given points. (x2 + y2)2 = 3x2y − y3;

Andrew [12]

Answer:

a. $y+1=0$

b. $2x+4y=1$

Step-by-step explanation:

We are given that

$(x^2+y^2)^2=3x^2y-y^3$

a.(0,-1)

Differentiate w.r.t x

$2(x^2+y^2)(2x+2yy')=6xy+3x^2y'-3y^2y'$ .....(1)

Substitute x=0 and y=-1 in equation (1)

$2(0+1)(-2y')=-3y'$

$-4y'+3y'=0$

$-y'=0$

$y'=0$

$m=y'=0$

Point-slope form:

$y-y_0=m(x-x_0)$

Using the formula

$y+1=0$

This is required equation of tangent line to the given curve at point (0,-1).

b.(-1/2,1/2)

Substitute the value in equation (1)

$2(1/4+1/4)(-1+y')=6(-1/2)(1/2)+3(1/4)y'-3(1/4)y'$

$2(2/4)(-1+y')=-3/2+3/4y'-3/4y'$

$-1+y'=-3/2$

$y'=-3/2+1=\frac{-3+2}{2}=-\frac{1}{2}$

$m=y'=-1/2$

Again using point-slope formula

$y-1/2=-1/2(x+1/2)$

$\frac{2y-1}{2}=-\frac{1}{4}(2x+1)$

$2y-1=-\frac{1}{2}(2x+1)$

$4y-2=-2x-1$

$2x+4y=2-1$

$2x+4y=1$

5 0

3 years ago