5×83+6= please give me the answer

3. A new process has been developed for applying pho toresist to 125-mm silicon wafers used in manufac turing integrated circu

dlinn [17]

Answer:

a

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

The null hypothesis is rejected

b

The 99% confidence level is $13.3930 < \mu < 13.3994$

Step-by-step explanation:

From the question we are told that

The sample size is n = 10

The population mean is $\mu = 13.4 000 \ angstroms$

The level of significance is $\alpha = 0.05$

The sample data is

13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002

Generally the sample mean is mathematically represented as

$\= x = \frac{13.3987+ 13.3957\cdots +13.4002 }{10}$

=> $\= x = 13.3962$

Generally the sample standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }$

=> $\sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 + (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2 }{10} }$

=> $\sigma =0.0039$

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

Generally the test statistics is mathematically represented as

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

=> $z = \frac{13.3962 - 13.4000}{\frac{0.0039}{\sqrt{10} } }$

=> $z = 3.08$

Generally the p-value is mathematically represented as

$p-value = 2P( z > 3.08)$

From the z-table $P(z > 3.08)= 0.001035$

So

$p-value = 2* 0.001035$

$p-value = 0.00207$

So from the obtained value we see that

$p-value < \alpha$

Hence the null hypothesis is rejected

Consider the b question

Given that the confidence level is 99% then the level of significance is

$\alpha = (100 -99)\%$

=> $\alpha = 0.01$

Generally from the normal distribution table critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 2.58 * \frac{0.0039}{\sqrt{10} }$

=> $E = 0.00318$

Generally the 99% confidence interval is mathematically represented as

$13.3962 - 0.00318 < \mu < 13.3962 + 0.00318$

=> $13.3930 < \mu < 13.3994$

7 0

3 years ago

A company loses $5,400 as the result of a manufacturing defect. The 8 owners of the company must share the loss equally.

denpristay [2]

Answer:

parts A answer D) -5.400divided by 8

and for part B is c) -675

Step-by-step explanation:

mark me as brainlest pliz

6 0

2 years ago

The volume of this sphere is 972pi cubic inches. What is its radius?

maria [59]

4/3pi *r3 = 972pi
Divide both side by pi

4/3 *r3 = 972

r3 = 972* 3/4

r3 = 729

r = the square root of 729 to the third power (I don't know if I'm expressing this correctly but answer is 9, hope you get that)

r = 9 that's your answer.

Hope it's correct, appreciate if you could let me know

8 0

3 years ago

Read 2 more answers

Which of the following transformations fit the definition of isometry?

Gennadij [26K]

Answer: Rotations, reflections, translations (A, C, and E)

Imagine you had a camera aimed at a triangular figure on a piece of paper. If you rotate the camera, then the image of the triangle appears to rotate. In reality it's the other way around. What this means is that the triangle is not changing at all. It keeps the same size, shape, area, perimeter, etc. This applies to when the camera pans left or right, ie shifts from side to side. The triangle will translate but again the triangle isn't changing at all. It's merely an illusion. Reflections are the same way. Imagine having a piece of glass or a mirror that reflects the image which is an identical copy; although everything is flipped.

Dilations are not isometries because the image is a different size then the pre-image. The same shape is maintained though. Note: the scale factor must be some number other than 1.

another note: "isometry" breaks down into "iso+metry" with "iso" meaning "same" or "equal", and "metry" meaning "measure". So if you had 2 identical yard sticks, then they are isometrical or equal in length.

4 0

3 years ago

Two girls scout troops are completing a wilderness campout. Use the information to answer the questions. The Blue Tripp hikes 2/

Nikitich [7]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Blue tripp:

Hikes 2/3 miles every 1/2 hour

Yellow troop:

Hikes 3/4 miles every 1/3 hour

How long does it take each troop to walk 1 1/2 miles, 1/2 mile, and 3/4 mile?

To hike 1 1/2 miles

Blue troop:

2/3 miles = 1/2 hours

3/2 miles = x

2/3x = 3/4

x = 3/4 * 3/2

x = 9/8 = 1 1/8 hours

Yellow troop:

3/4 = 1/3 hours

3/2 = x

3/4x = 3/6

x = 3/6 * 4/3

x = 12/18 = 2/3 hours

To hike 1/2 mile :

Blue troop:

2/3 miles = 1/2 hours

1/2 miles = x

2/3x = 1/4

x = 1/4 * 3/2

x = 3/8 hours

Yellow troop:

3/4 = 1/3 hours

1/2 = x

3/4x = 1/6

x = 1/6 * 4/3

x = 4/18 = 2/9 hours

To hike 3/4 miles :

Blue troop:

2/3 miles = 1/2 hours

3/4 miles = x

2/3x = 3/8

x = 3/8 * 3/2

x = 9/16 hours

Yellow troop:

3/4 = 1/3 hours

3/4 = x

3/4x = 3/12

x = 1/4 * 4/3

x = 4/12

x = 1/3 hours

4 0

3 years ago