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In-s [12.5K]
3 years ago
12

Statistics question; please help.

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
7 0

Answer:

Does this sample provide convincing evidence that the machine is working properly?

Yes.

Step-by-step explanation:

<u>Normal distribution test:</u>

$z=\frac{x- \mu }{ \frac{\sigma}{\sqrt{n}} }=\frac{ (x-\mu)\sqrt{n}}{\sigma}  $

Where,

x: \text{ sample mean}

\sigma: \text{ standard deviation}

n: \text{ sample size determination}

\mu: \text{ hypothesized size of the screw}

$z=\frac{(1.476-1.5)\sqrt{200} }{0.203 } $

$z=\frac{(-0.024)10\sqrt{2} }{0.203 } $

z \approx -1.672

Once the significance level was not given, It is usually taken an assumption of a 5% significance level.

Taking the significance level of 5%, which means a confidence level of 95%, we have a z-value of \pm 1.96

Therefore, we <u>fail to reject the null</u>. It means that the hypothesis test is not statistically significant: the average length is not different from 1.5!

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The value of a $3000 computer decreases about 30% each year. write a function for the computers value V(t)
den301095 [7]

Answer:

Function for given situation is : V(t)=3000(0.70)^t

Value of computer after 4 years = $720.3.

Step-by-step explanation:

Given that the value of a $3000 computer decreases about 30% each year. Now we need to write a function for the computers value V(t). then we need to find about how much will the computer be worth in 4 years.

It clearly says that value decreases so that means function represents decay.

For decay we use formula:

A=P(1-r)^t

where P=initial value = $3000,

r= rate of decrease =30% = 0.30

t= number of years

A=V(t) = future value

so the required function is V(t)=3000(1-0.30)^t

or V(t)=3000(0.70)^t

Now plug t=4 years to get the value of computer after 4 years.

V(4)=3000(0.70)^4

V(4)=720.3

Hence final answer is $720.3.

7 0
2 years ago
Read 2 more answers
Help WILL GIVE BRAINLIEST!!!
aleksandrvk [35]

Answer:

The correct choice is the third answer.

Step-by-step explanation:

The arrow on top of the letters means that they would be parallel.  If you look closely at the diagram, you can see that both QR and TU go in the same direction and will never intersect.

5 0
3 years ago
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Answer:

No

Step-by-step explanation:

That is not enough,that is why it is a no

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3 years ago
Size of u.s. states the total surface area (in square miles) for each of six selected eastern states is listed here. 28,995 pa 3
KonstantinChe [14]
<span>Standard deviation of first data set = 5879.1 Standard deviation of second data set = 14768.78 The second data set is more variable. The basic definition of standard deviation is the square root of the mean of the squares of the difference from the mean. It's a bit of a mouthful, but easy enough to do. For the first data set, first calculate the mean. (28995 + 37534 + 31361 + 27087 + 20966 + 37741) / 6 = 30614 Now calculate the square of the differences from the mean (28995 - 30614)^2 = 2621161 (37534 - 30614)^2 = 47886400 (31361 - 30614)^2 = 558009 (27087 - 30614)^2 = 12439729 (20966 - 30614)^2 = 93083904 (37741 - 30614)^2 = 50794129 And now the average of the squares (2621161 + 47886400 + 558009 + 12439729 + 93083904 +50794129) / 6 = 34563888.67 And finally, take the square root to get the standard deviation. sqrt(34563888.67) = 5879.1 Now for the second data set of western states. First, the mean (72964 + 70763 + 101510 + 62161 + 66625 + 54339) / 6 = 71393.67 Now the squares of the differences (72964 - 71393.67)^2 = 2465946.778 (70763 - 71393.67)^2 = 397740.4444 (101510 - 71393.67)^2 = 906993533.4 (62161 - 71393.67)^2 = 85242133.78 (66625 - 71393.67)^2 = 22740181.78 (54339 - 71393.67)^2 = 290861655.1 And the average of the squares is 218116865.2 Finally, the square root of the average is 14768.78 So the standard deviation of the 2nd data set is 14768.78 And since the standard deviation of the 2nd data set is larger than the standard deviation of the 1st data set, that means that the 2nd data set is more variable.</span>
7 0
3 years ago
Homework: Geometry, part I (Perimeter)
Sindrei [870]

Answer:

(I don't know if this is correct)

To find the length of the rectangle, you need to first do 20 x 2 = 40 because when you finding the perimeter you have to do W + L + W + L = P (or Wx2 + Lx2 = P). You then subtract 40 from 68 (68 - 40) where you get 28 left. you then just divide  28/2 and you get 14. I may be way off but that's how I learned  it.

7 0
3 years ago
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