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Orlov [11]
3 years ago
13

A national organization has been working with utilities throughout the nation to find sites for large wind machines that generat

e electricity. Wind speeds must average more than 10miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site under construction for a wind machine.
To determine whether the site meets the organization's requirements, consider the test, H0:u = 10 vs Ha:u >10, where u is the true mean wind speed at the site and a=.10. suppose the onserved significance level(p-value) of the tesr is calculated to be p=0.2807. imterpret this result based on the p value of 0.2807.
a. since p value greatly exceeds a=.0.10 there is strong evidence to reject the null hypothesis
b. since the p value exceeds a=.10, there is insufficient evidence to reject the null hypothesis
c. the probability of rejecting the null hypothesis is 0.2807
d. we are 71.93% confident that u=10.
Mathematics
1 answer:
artcher [175]3 years ago
5 0

Answer:

p_v =P(t_{(n-1)}>t_{calc})=0.2807  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis.

And the best conclusion for this case wold be:

b. since the p value exceeds a=.10, there is insufficient evidence to reject the null hypothesis

Step-by-step explanation:

Data given and notation  

\bar X represent the sample mean

s represent the sample standard deviation

n sample size  

\mu_o =10 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 10, the system of hypothesis would be:  

Null hypothesis:\mu \leq 10  

Alternative hypothesis:\mu > 10  

We assume that we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) and we got t_{calc}

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1  

Since is a one sided test the p value would be:  

p_v =P(t_{(n-1)}>t_{calc})=0.2807  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis.

And the best conclusion for this case wold be:

b. since the p value exceeds a=.10, there is insufficient evidence to reject the null hypothesis

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PLEASE HELP!! find the value of x. attached image.
slamgirl [31]

Answer:

x     =   4.712145

Step-by-step explanation:

Given a=20 and b=28,

c = 4√74 = 34.409301068171

∠α = 35.538° = 35°32'16" = 0.62025 rad

∠β = 54.462° = 54°27'44" = 0.95055 rad

Area = 280

Perimeter = 82.409301068171

<h2><u>_____________________________________</u></h2>

Let's solve your equation step-by-step.

9x−8=34.409301

Step 1: Add 8 to both sides.

9x−8+8=34.409301+8

9x=42.409301

Step 2: Divide both sides by 9.

\frac{9x}{9} =\frac{42.409301}{9}

x=4.712145

<h2>Answer:</h2><h2>x=4.712145</h2>

4 0
2 years ago
What is the volume of the cube if the side length is 40cm​
swat32

Answer:

The formula to find the volume of a cube : s^3 so

S=40 cm

Now

by the formula,

40^3

64000

7 0
2 years ago
Please help!
crimeas [40]

Answer:

The zeros are:

x =4, x=2, x = 5

  • The function has three distinct real zeros.

Hence, option (B) is true.

Step-by-step explanation:

Given the expression

h\left(x\right)=\left(x-4\right)^2\left(x^2-7x+\:10\right)

Let us determine the zeros of the function by putting h(x) = 0 and solving the expression

0=\left(x-4\right)^2\left(x^2-7x+10\right)

switch sides

\left(x-4\right)^2\left(x^2-7x+10\right)=0

as

x^2-7x+\:10=\left(x-2\right)\left(x-5\right)

so

\left(x-4\right)^2\left(x-2\right)\left(x-5\right)=0

Using the zero factor principle

  • \mathrm{If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

so

x-4=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0

x =4, x=2, x = 5

Thus, the zeros are:

x =4, x=2, x = 5

It is clear that there are three zeros and all the zeros are distinct real numbers.

Therefore,

  • The function has three distinct real zeros.

Hence, option (B) is true.

4 0
3 years ago
I WILL MARK YOU BRAINLYEST if you answer all of my problems !!!!!!!!!!!
Romashka [77]

First, let's convert each line to slope-intercept form to better see the slopes.

Isolate the y variable for each equation.

2x + 6y = -12

Subtract 2x from both sides.

6y = -12 - 2x

Divide both sides by 6.

y = -2 - 1/3x

Rearrange.

y = -1/3x - 2


Line b:

2y = 3x - 10

Divide both sides by 2.

y = 1.5x - 5


Line c:

3x - 2y = -4

Add 2y to both sides.

3x = -4 + 2y

Add 4 to both sides.

2y = 3x + 4

Divide both sides by 2.

y = 1.5x + 2


Now, let's compare our new equations:

Line a: y = -1/3x - 2

Line b: y = 1.5x - 5

Line c: y = 1.5x + 2

Now, the rule for parallel and perpendicular lines is as follows:

For two lines to be parallel, they must have equal slopes.

For two lines to be perpendicular, one must have the negative reciprocal of the other.

In this case, line b and c are parallel, and they have the same slope, but different y-intercepts.

However, none of the lines are perpendicular, as -1/3x is not the negative reciprocal of 1.5x, or 3/2x.

<h3><u>B and C are parallel, no perpendicular lines.</u></h3>
8 0
3 years ago
A bakery sells mocha cupcakes and chocolate cupcakes. It sold 220 cupcakes in a day, and 45% of them were chocolate. How many of
Inessa05 [86]

Answer:

121 mocha cupcakes

Step-by-step explanation:

\frac{45}{100}  \times 220 = 99 \\ 99of \: the \: cupcakes \: were \: chocolate \\ mocha \: cupcakes = 220 - 99 \\  = 121

6 0
3 years ago
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