Answer:
this answer will be in your book
3. A new process has been developed for applying pho toresist to 125-mm silicon wafers used in manufac turing integrated circuits. Ten wafers were tested, and the following photoresist thickness measurements (in angstroms x 1,000) were observed: 13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002. a. Test the hypothesis that mean thickness is 13.4 x 1,000 A. Use a = 0.05 and assume a two-sided alternative. b. Find a 99% two-sided confidence interval on mean photoresist thickness. Assume that thickness is normally distributed.
Answer:
a
The null hypothesis is [tex]H_o : \mu = 13.4000[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 13.4000[/tex]
The null hypothesis is rejected
b
The 99% confidence level is [tex]13.3930 < \mu < 13.3994 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 10
The population mean is [tex]\mu = 13.4 000 \ angstroms[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
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
[tex]\= x = \frac{13.3987+ 13.3957\cdots +13.4002 }{10}[/tex]
=> [tex]\= x = 13.3962 [/tex]
Generally the sample standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 + (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2 }{10} }[/tex]
=> [tex]\sigma =0.0039 [/tex]
The null hypothesis is [tex]H_o : \mu = 13.4000[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 13.4000[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{13.3962 - 13.4000}{\frac{0.0039}{\sqrt{10} } }[/tex]
=> [tex]z = 3.08[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2P( z > 3.08)[/tex]
From the z-table [tex]P(z > 3.08)= 0.001035[/tex]
So
[tex]p-value = 2* 0.001035[/tex]
[tex]p-value = 0.00207[/tex]
So from the obtained value we see that
[tex]p-value < \alpha[/tex]
Hence the null hypothesis is rejected
Consider the b question
Given that the confidence level is 99% then the level of significance is
[tex]\alpha = (100 -99)\%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]E = 2.58 * \frac{0.0039}{\sqrt{10} }[/tex]
=> [tex]E = 0.00318[/tex]
Generally the 99% confidence interval is mathematically represented as
[tex]13.3962 - 0.00318 < \mu < 13.3962 + 0.00318 [/tex]
=> [tex]13.3930 < \mu < 13.3994 [/tex]
2.3r-y+6=21
Find r when y=7
Find y when r=4.23
Step-by-step explanation:
2.3r - 7 + 6 = 21
2.3r - 1 = 21
2.3r = 22
r = 22/2.3
r = 9.6
2.3(4.23) - y + 6 = 21
9.73 - y + 6 = 21
15.73 - y = 21
-y = 5.27
y = -5.27
-9,-6 after a rotation 90° counterclockwise about the origin
Answer:
90
Step-by-step explanation:
Find the value of x. PLEASE HELP - test tomorrow
The answer is 59.
I need to show my work.
THANK YOU!!!!!
Answer:
b and 59° are vertical angles so they are equal.
b=59°
Suppose a local manufacturing company claims their production line has a variance of less than 9.0. A quality control engineer decides to test this claim by sampling 35 parts. She finds that the standard deviation of the sample is 2.12. Is this enough evidence at the 1% level of significance, to accept the manufacturing companies claim? Calculate the appropriate test statistic (round to 2 decimal places as needed)
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to accept the manufacturing company claims
Step-by-step explanation:
From the question we are told that
The sample size is n = 35
The sample standard deviation is [tex]s = 2.12[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o : \sigma ^2 = 9.0[/tex]
The alternative hypothesis is [tex]H_a : \sigma ^2 < 9.0[/tex]
Gnerally the test statistics is mathematically represented as
[tex]X^2 _{stat} = \frac{(n -1) * s^2 }{\sigma^2 }[/tex]
[tex]X^2 _{stat} = \frac{(35 -1) * 2.12^2 }{9 }[/tex]
=> [tex]X^2 _{stat} = 16.98[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 35 - 1[/tex]
=> [tex]df = 34[/tex]
From the chi - distribution table the critical value of [tex]\alpha[/tex] at a degree of freedom of [tex]df = 34[/tex] is
[tex]X^2_{\alpha, 34 } =56.060[/tex]
From the value obtained we see that the test statistics does not lie within the region of rejection (1.e 56.060 , [tex]\infty [/tex] )
Then
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to accept the manufacturing company claims
I will give you branilest!
The EPA estimated that in 2013, the average amount of garbage produced in the United States was 4.4 pounds per person per day. At that rate, how long would it take YOUR family to produce a ton of garbage? (A ton is 2,000 pounds.)
100 POINTS!
STATS
EXPLANATION NEEDED
Answer:
Step-by-step explanation:
Answer:
500 dollars
Step-by-step explanation:
find the percent from 62 to 7
Answer:
66.34
Step-by-step explanation:
if my calculations are correct it should be 66.34
The answer should be 66.34
I scored 32 more points in my second unit test and I did it on my first my total points for both test were 164 what did I score on my two test
a = 66 points (first test)
b = 98 (second test)
Step-by-step explanation:Hi there !
a = first test
b = second test
a + b = 164
b = a + 32
replace b
a + (a + 32) = 164
2a = 164 - 32
2a = 132
a = 132 ; 2
a = 66 points (first test)
b = 66 + 32
b = 98 (second test)
Good luck !
What’s 11/3 divided in 2/3
Answer:
5 1/2
Step-by-step explanation:
11/3 divided by 2/3= 5 1/2
Four plumbers each charge a flat fee plus an hourly rate for repair visits. The table shows their total costs for repairs that required various amounts of time. Which plumber charges the greatest hourly rate?
Answer: Took the test
Step-by-step explanation:
Solve for x and explain how you use inverse operations to find your answer:
8x=2
A square garden and a hexagon garden have the same perimeter. The perimeter of the square garden is 4(x+7). The perimeter of the hexagon garden is 6(3x). What is the perimeter of each figure?
Answer:
36
Step-by-step explanation:
4(x+7) = 6(3x)
2(x+7) = 3(3x)
2x+14 = 9x
14 = 7x
x = 2
Plugging it back into the equation:
Hexagon = 6(3*2) = 6*6 = 36
Square = 4(2+7) = 4*9 = 36
Therefore, the perimeter of each figure is 36.
4 + 3 (3 × 2)² - 1
how do I set up the account?
Answer:
4+(9*6)^2-1
Step-by-step explanation:
y=5x-3
x=5
i don’t understand-
Answer: y =5(5)-3
5*5=25-3 =22 ANSWER IS y=22
What do the labeled bolts of clothes represent in the political cartoon a American domestic policy be American non-invasive beliefs see American involved in other countries the American support for foreign immigration
Answer:
C
American involvement in other countries.
Hope it helps ❤️
The labeled bolts of clothes represent the political cartoon will be about American involvement in other countries,
What is a labeled diagram?A drawing, chart, or graph that is labeled helps to visualize a concept. Students can better understand the relationships between the diagram's various components by using labeled diagrams in math, science, and language arts.
It is given that the labeled bolts of clothes represent the political cartoon.
They provide a cheerful diversion from the increasingly somber political discourse by offering a colorful alternative to formal news reporting. Cartoons offer a quick and easy way to comment on current events because they can condense news and opinion into a caricature.
Thus, the labeled bolts of clothes represent the political cartoon will be about American involvement in other countries,
Learn more about the labeled diagram here,
https://brainly.com/question/13354430
#SPJ2
Round 683,492 to the nearest hundred thousand.
Answer:
700,000
Step-by-step explanation:
you need to look at the ten thousands and look at the number if it is past 5 you round up.
describe the sequence of translation used to move figure 1 onto figure 2
I dont understand this.
Answer:
88% left to consume
Step-by-step explanation:
880 of 1000
88/100
percentages are out of 100
so you can just divide both sides by 100, or take away the extra zero
let me know if you need further guidance ;)
Fred is making a wooden box in the shape of a right rectangular prism.
The dimensions of the box are 12 inches by 4- inches by 4- inches.
What is the volume of the wooden box?
Answer:
The volume of the box is 192.
Step-by-step explanation:
width * height * width = volume
so..
4 * 4 * 12 = 192.
Helpppppp once again plssss?! Thank you
The sum of 14 and which number will equal -3
Answer:
-17
Step-by-step explanation:
-3-14 = -17
-17 + 14 = -3
If : f(x): m, x + 3 0
- 2x +12. 5< X < infinity
What must the value of m, be so that the
two pieces of this piecewise function intersect
the same point ?
A. m, = -5
B. m, = -1/5
C. m, = 2
D. m, = 5
Answer:
.
Step-by-step explanation:
What are the possible rational roots of the polynomial equation?
0=2x9−3x7+11x+10
Answer:
+-1, +-2,+-5, +-10
Step-by-step explanation:
you first find all the numbers that can go into the constant which is 10, so negative and positive 1 can go into 10, negative and positive 2 can go into 10 etc.
The possible rational roots of the polynomial equation
[tex]1,-1} , +\frac{1}{2} , -\frac{1}{2} , +2,-2, +5,-5, +\frac{5}{2} ,-\frac{5}{2} ,+10,-10[/tex]
Given :
The polynomial equation is
[tex]2x^{9}-3x^{7}+11x+10=0[/tex]
To find out possible rational roots, we use rational root theorem
Rational root of the form
[tex]\frac{p}{q}[/tex] where p is the constant and q is the leading coefficient
p=10 and q=2
Lets write all the factors of 10 and 2
Factors of 10 are 1,2,5,10
factor of 2 are 1,2
Rational root of the form
[tex]+- factors of \frac{p}{q} =+-\frac{1,2,5,10}{1,2}[/tex]
We consider both positive and negative factors. Ignore the repeated roots
So possible rational roots are
[tex]1,-1} , +\frac{1}{2} , -\frac{1}{2} , +2,-2, +5,-5, +\frac{5}{2} ,-\frac{5}{2} ,+10,-10[/tex]
Learn more : brainly.com/question/13211306
evaluate 23.98-1.7 to the power of 2 ⋅7.6
Answer:
160.284
Step-by-step explanation:
what is the answer? pls help
Answer:
The answer is Not a line (no constant slope)
Step-by-step explanation:
21/7
-2/-1
78/26
-105/-35
The slope is always different, therefore there is no constant slope!
Hope this helps!
What is the value of 12 Superscript 0?
Answer:
1
Step-by-step explanation:
So when we raise a number to the zeroth power, that means we multiply the number by itself zero times - but that means we're not multiplying anything at all! ... In short, 0 is the only number such that for any number x, x + 0 = x
Answer:
Hi there! The answer to this question is 1.
Hope this helps :D
Simplify 3a^2b^2x2ab+6a^3b^2
[tex]3 {a}^{2} \times {b}^{2} \times 2ab + 6 {a}^{3} \times {b}^{2} = [/tex]
[tex]6 {a}^{3} {b}^{3} + 6 {a}^{3} {b}^{2} = [/tex]
Factoring 6a^3 b^2
[tex]6 {a}^{3} {b}^{2}(b + 1) [/tex]
_________________________________
I think this is the correct answer.
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
For each heart there are 2 stars. Which model shows this relationship? I NEED HELPPP ILL MAKE U THE BRIAN THINFG
Answer:
D
Step-by-step explanation:
Just came from the quiz
Which of the following expressions is equivalent to (7)(7)(7)?
7 · 3
3 7
(7) 3
3 · 7
Answer:
[tex]7^{3}[/tex]
Step-by-step explanation:
Hope this helps! Pls consider marking my answer Brainliest! it would mean a lot!
Answer:
7^3
Step-by-step explanation:
(also happy pride month!! ️)
