Answer:
Explained below.
Step-by-step explanation:
The (1 - α)% confidence interval for the population mean is:
[tex]CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error for this interval is:
[tex]MOE= z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}[/tex]
The factors affecting the MOE are:
The sample size (n) is inversely proportional to the MOE, thus increasing n decreases the MOE and vice-versa. Variance (σ²) is the square of S.D. So if we increase σ² then σ increases. Since σ is directly proportional to MOE, increasing σ increases MOE. The confidence level is the value of (1 – α). If we increase the confidence level then the critical value increases and thus MOE also increases.Since the population standard deviation is not provided it is obvious the sample standard deviation is used to estimate the value of σ.
On increasing the value of σ the MOE will also increase.
As the sample size is inversely proportional, increasing the sample size by a factor of 4 will reduce the margin of error by half. But since σ is also increasing there are two factors affecting the MOE together.
Therefore reducing the MOE by more than half the original value.
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!! ️)
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.
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
The sum of 14 and which number will equal -3
Answer:
-17
Step-by-step explanation:
-3-14 = -17
-17 + 14 = -3
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]
y=5x-3
x=5
i don’t understand-
Answer: y =5(5)-3
5*5=25-3 =22 ANSWER IS y=22
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°
Can someone help me with this geometry problem tysm
Answer:
2x=128 x=64
Step-by-step explanation:
64x 2 =128
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
A kid at the pool goes to jump from the high diving board. He climbs the stairs 3 feet, but he has to wait for the kid in front of him to go. He climbs up another 5 feet to the diving board, then jumps into the pool, descending 10 feet below the diving board. How far does the kid need to swim up to reach the surface of the water?
Answer:
Probably 5 feet
Step-by-step explanation:
Since the diving board is 5 feet then it is 10 feet the it equals 5 feet if you half it
Sorry if wrong and hope this helps
0.12k = 10.08
A.)48
B.)84
C.)0.48
D.) 0.048
Answer:
[tex] k = 10.08 \times 100 \div 0.12 \times 100 = 1008 \div 12 = 84[/tex]
Step-by-step explanation:
option B 84
.
more FILL IN THE BLANKS FOR SCHOOL.... please help soon as possible
Answer:
2
Step-by-step explanation:
-42/14 = 3, so you need to cancel out the 1/2 being multiplied on the bottom part of the fraction
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
evaluate 23.98-1.7 to the power of 2 ⋅7.6
Answer:
160.284
Step-by-step explanation:
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 !
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
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
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.
♥️♥️♥️♥️♥️
Solve 2y – 3 = 4y + 6.
ys
18.75 divided by 0.70
Answer:
26.79 (rounded to the nearest hundredth)
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
4 + 3 (3 × 2)² - 1
how do I set up the account?
Answer:
4+(9*6)^2-1
Step-by-step explanation:
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 ;)
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.)
Solve for x and explain how you use inverse operations to find your answer:
8x=2
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 is the maximum of the numbers listed below?
5.2, 5.4, 4.9, 4.4, 5.1
Answer:
5.4
Step-by-step explanation:
5.2, 5.4, 4.9, 4.4, 5.1
4.4, 4.9, 5.1, 5.2, 5.4
5.4 is the maximum
Hope this helped!
For which value of x should the following expression be further simplified?
Answer:
B) x = 6
Step-by-step explanation:
If you try substituting all the numbers (from these options) for x, you'll find that 6 is the only x value that can let the expression be further simplified.
[tex] \sqrt{39 \times 6} [/tex]
[tex] \sqrt{234} [/tex]
[tex] \sqrt{9 \times 26} [/tex]
[tex] \sqrt{9} \times \sqrt{26} [/tex]
[tex]3 \sqrt{26} [/tex]
Helpppppp once again plssss?! Thank you
