Johnson and Leone (Statistics and Experimental Design in Engineering and the Physical Sciences, John Wiley, 1977) describe an experiment conducted to investigate warping of copper plates. The two factors studied were temperature and the copper content of the plates. The response variable is the amount of warping. Some of the data are as follows:_____.
40 100 Temperature (°C) 50 75 100 Copper Content (%) 60 80 16, 21 24, 22 18, 13 17, 12 18, 21 25, 23 23, 21 23, 22 17, 20 12,9 16, 12 21, 17 28, 27 27,31 30, 23 125 29, 31
Do a complete analysis. Your analysis should include the following 1. What are the factors, respective factor levels and the response variable? 2. Check the two assumptions. 3. Check overall model significance using ANOVA table 4. Check the significance of Interaction effect and Main effects (If necessary) 5. Conclusion.
Answers
Answer:
Design Expert Output Response: Warping ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of Mean F Source Squares DF Square Value Prob > F Model 968.22 15 64.55 9.52 < 0.0001 significant A 698.34 3 232.78 34.33 < 0.0001 B 156.09 3 52.03 7.67 0.0021 AB 113.78 9 12.64 1.86 0.1327 Residual 108.50 16 6.78 Lack of Fit 0.000 0 Pure Error 108.50 16 6.78...
Step-by-step explanation:
Related Questions
Fred brought a shirt and a wallet for a total of 34.26 before tax. The price of the wallet was $15 less than the price of the shirt. What was the price of the shirt?
Answers
Answer:
The price of the shirt is $24.63.
Step-by-step explanation:
Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:
x + (x - 15) = 34.26
Simplifying, we get:
2x - 15 = 34.26
Adding 15 on both sides:
2x = 49.26
Dividing by 2:
x = 24.63
Therefore, the price of the shirt is $24.63.
MO and PR are parallel lines. What angles are corresponding?
Answers
Given:
There are given that the MO and PR are parallel lines:
Explanation:
From the given parallel line, the corresponding angles are:
\(\begin{gathered} \angle PQN\text{ and }\angle MNL \\ \angle ONL\text{ and }\angle RQN \\ \angle PQS\text{ and }\angle MNQ \\ \angle RQS\text{ and }\angle ONQ \end{gathered}\)Final answer:
From the option, the correct correspondings angle is:
\(\angle PQN\text{ and }\angle MNL\)Hence, the correct option is C.
Graph the solution to the equations below. y = 1 4 x + 2 and y = −2x −7
Answers
what number 14 is 70 percent of
Answers
Answer:
20
Step-by-step explanation:
70% of x = 14
0.7x = 14
x = 14/0.7
x = 20
Please can someone who knows the right answer help me? From a group of 5 boys and 3 girls, a boy and a girl will be selected to attend a conference. In how many ways can the select be made?
Answers
The selection can be made in 15 different ways, taking into account the distinct combinations of a boy and a girl from the given group of 5 boys and 3 girls.
To determine the number of ways a boy and a girl can be selected from a group of 5 boys and 3 girls to attend a conference, we can use the concept of combinations.
The number of ways to choose one boy from 5 boys is 5C1, which is equal to 5. Similarly, the number of ways to choose one girl from 3 girls is 3C1, which is equal to 3.
To select one boy and one girl, we need to multiply the number of ways to choose a boy and a girl together. Using the multiplication principle, we multiply the number of choices for each category: 5C1 * 3C1 = 5 * 3 = 15.
Therefore, there are 15 ways to select a boy and a girl from the given group to attend the conference.
Each combination represents a unique pair consisting of one boy and one girl. For example, if the boys are labeled as B1, B2, B3, B4, and B5, and the girls are labeled as G1, G2, and G3, the possible pairs could be (B1, G1), (B1, G2), (B1, G3), (B2, G1), (B2, G2), and so on, up to (B5, G3).
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The diagram shows the height of a cone that holds ice cream. The cone has a volume of 4.5 π cubic inches. Which measurement is closest to the radius of the cone in inches?
Answers
On solving the query we can say that The slant height, along with the function cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.
what is function?Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
You are informed that the cone in this scenario has a volume of 4.5 cubic inches. Using the aforementioned calculation, you can determine the radius if you know the cone's height.
Alternately, you may use the Pythagorean theorem to calculate for the radius if you know the cone's slant height. The slant height, along with the cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answers
The graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.
What is the graphical solution to a systems of equationsThe graphical solution to a system of equations is a method of finding the point of intersection between the graphs of the equations. We plot each equation as a line on the same coordinate plane, and then find the point where the lines intersect.
If we have two equations in two variables, the solution to the system is the point where the two lines intersect. Also if there are three equations in three variables, the solution is the point where the three planes intersect.
In conclusion, the graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.
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Helpppp plssssss I don’t understand
Answers
Answer:
2 3/4
Step-by-step explanation:
2 and 3/4 is the same as 11/4 and that simplified is 2.75 them multiply by 100 and its 275%
1 If it takes 48 hour to leak 8 liter water how many hour does it take to leak 15 liter water ? Show your steps .
2.If 7 kg potato is 140 $ how much kg can 340 $ buy ? Show your steps.
3.What is ratio.
Answers
Answer:
answer is 90 hr for question 1
Step-by-step explanation
48 hr 8 liter
? 15 liter
so what ur going to do is u criss-cross when u do u multipy 48 with 15 and 8 with "?" when u multiply 48 with 15 u get 720 and when you multiply 8 with "?" u get 8?
so it will look like this
720= 8?
let make "?" an "x" for a better understanding. so the reason we are making it an "x" is because we dont know the amount of hr it takes for 15 liters of water to leak.
let go back to the calculation.
so it will look something like this
720 = 8x
exactly the same thing but we made "?" an"x"
so now we divide both sides with 8. why? because we need "x" alone and want 8 to disappear
so when u divide both sides with 8 it will look something like this
780/8 =x
so when u divide 780 with 8 u get 90. so what does that mean? it means it takes 90 hr for 15 liters of water to leak.
do you understand?
How do I solve this
Answers
Answer:
i dont know
Step-by-step explanation:
Please help me solve these questions
Answers
2= 12
Hope this helps
Question
Find the average rate of change of the function f(x). given below, from x = -1 to x = 4.
f(x) = -x^3+5x^2
Answers
Step-by-step explanation
x=-1
x=4
f(x)= x^3+5x^2
A new American graduate is contemplating buying a
Japanese, German, or an American car. No matter the type of car, he
plans to buy a new one at the end of 8 years.
The Japanese cars will cost $30,000 and have a fuel
usage of 23 Miles Per gallon (mpg) for the first 2 years and will
decrease by 3% per year thereafter. The repair cost will start at $700
per year, and increase by 3% per year. At the end of year 8, the
car can be sold for $5000. Insurance cost will be $700 for the
first year, increasing by 2% per year thereafter.
A German car will cost $45,000 and have fuel usage
of 21mpg for the first 5 years, and decrease by 1% thereafter to
year 8. The repair cost will start at $1000 in year 1 and increase by
4% per year. It will have a salvage value of $7000 at the end of
year 8. Insurance cost will be $850 the first year, increasing by
2% per year thereafter.
The American car will cost $35,000 and have fuel
usage of 20mpg for the first 3 years and will decrease by 3% per
year thereafter. The repair cost will be $800 in year 1, increasing by
4% per year thereafter. Being an American, the graduate will price
the pride of owning an American car at $0.4 for every 20 miles
driven, increasing by 2% per year. Insurance costs will be $800 per
year increasing by 2.2% per year. The car can be sold for $5500 at
the end of year 8.
If the graduate anticipates driving 150000 miles by
the end of year 8 and the average interest rate is expected to
remain at 5% per year, which car is economically affordable based
on present worth analysis? Assume fuel cost will be $3 per gallon
in year 1 and increase by an average of 2% per year. Show all your
workings.
Answers
Answer:
The best option is to buy Japanese Car.
Step-by-step explanation:
Fuel usage per year is 150000/ 8 = 18750 miles per year
Fuel cost (year 1 -8) = $3.0, $3.06, $3.12, $3.18, $3.25, $3.312, $3.38, $3.5
Japanese Car:
Fuel usage 18750 / 23 = 815 * $3 = $2446
Fuel charges (year 1 -8) = $2445, $2494, $2623, $2758. $2900, $3050, $3207, $3372
Repair Cost (year 1 - 8) = $700, $721, $742, $764, $787, $811, $835, $860
Insurance cost (Year 1 - 8) = $700, $714, $728, $742, $757, $772, $788, $804
Present value of cost at 5% = 24674.07
Cost of car is $30,000
Total cost = $54674.07
Amercian Car:
Cost $35,000
Fuel usage 18750/20 = 937.5 * $3 per gallon = $2812.5.
Fuel charges (year 1 -8) = $2812, $2913, $2986, $3011. $3098, $3124, $3176, $3208
Repair Cost (year 1 - 8) = $800, $894, $921, $978, $1109, $1176, $1207, $1301
Insurance cost (Year 1 - 8) = $800, $827, $876, $898, $908, $932, $954, $934
Present value of cost at 5% = 25302.18
Cost of car is $35,000
Total cost = $60302.
German Car:
Cost = $45,000
Fuel usage 18750 / 21 = 892 * $3 = $2678
Fuel charges (year 1 -8) = $2679, $2732, $2786, $2842. $2899, $2987, $3077, $3171
Repair Cost (year 1 - 8) = $1000, $1040, $1081, $1124, $1169, $1216, $1265, $1316
Insurance cost (Year 1 - 8) = $850, $867, $884, $902, $920, $938, $957, $976
Present value of cost at 5% = 27105.73
Cost of car is $45,000
Total cost = $72105.
the radius of a circle is 13 in. Find its area to the nearest whole number
Answers
Area of circle = \({ \purple{ \sf{π{r}^{2}}}}\)
here \({ \purple{ \sf{π = \frac{22}{7}}}}\)
and radius is 13 in.
now put the value..
22/7×(13)²
22/7×169
22×24.14
531.08
approx to 531.1.
store A charges 12.50 for a custom shirt with 0.40 per each custom character store b charges 14.75 for the same shirt but charges 0.25 per each custom characyer would make the cost from both stores the same
Answers
Answer:
15 shirts
Step-by-step explanation:
Store A charges 12.50 for a custom shirt with 0.40 per each custom character. Store B charges 14.75 for the same shirt but charges 0.25 per each custom character would make the cost from both stores the same
A: 12.5 + 0.40x
B: 14.75 + 0.25x
12.5 + 0.40x = 14.75 + 0.25x
subtract 12.5 from both sides:
12.5 + 0.40x - 12.5 = 14.75 + 0.25x - 12.5
0.40x = 2.25 + 0.25x
subtract 0.25x from both sides:
0.40x - 0.25x = 2.25 + 0.25x - 0.25x
0.15x = 2.25
divide both sides by 0.15:
0.15x/0.15 = 2.25/0.15
x = 15
Find the value of xx in the equation below
X - 15.4 = 19.1
Answers
Answer:
x = 34.5
Step-by-step explanation:
x - 15.4 = 19.1
Add 15.4 to both sides.
x - 15.4 + 15.4 = 19.1 + 15.4
x = 34.5
Answer:
x equals -3
Hope this helps :)
Step-by-step explanation:
How many inches apart will four bolts be along the circumference of the metal plate shown in the figure to the right
Answers
The number of inches apart that the four bolts will be along the circumference of the metal plate shown in the figure is 9.425 inches.
What is the circumference?The circumference refers to the total distance around a circle.
The circumference can determined using the following formula.
Circumference = 2πr
Diameter of the circle = 12 inches
Radius = 12/2 inches = 6 inches
Circumference = 2 x 22/7 x 6
= 37.7 inches
The number of bolts along the circumference = 4
Distance between the four bolts = 9.425 inches (37.8 ÷ 4)
Thus, using division operation, the distance apart of the four bolts is 9.425 inches.
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Katie selects a simple random sample of 25 students at her large school and finds that 5 of them are planning to try out for the soccer team next year. She wants to construct a confidence interval for p = the proportion of all students at her school who plan to try out for the soccer team next year, but she realizes she hasn’t met all the conditions for constructing the interval. Which condition for this procedure has she failed to meet?
n ≥ 30
n p hat greater-than-or-equal-to 10
n (1 minus p hat) greater-than-or-equal-to 10
The sample size must be less than 10% of the population size.
Answers
Answer:
C ??
Step-by-step explanation:
am I right?
n ≥ 30 is the condition for this procedure has she failed to meet
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Katie selects a simple random sample of 25 students at her large school and finds that 5 of them are planning to try out for the soccer team next year
p= the proportion of all students at her school who plan to try out for the soccer team next year
The condition that Katie has failed to meet is the first one, which states that the sample size should be large enough.
Specifically, the condition is that the sample size n should be greater than or equal to 30.
In this case, Katie only has a sample size of 25, which is less than 30.
This means that the sample may not be large enough to accurately estimate the population proportion and construct a reliable confidence interval.
Hence, n ≥ 30 is the condition for this procedure has she failed to meet
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ABCD diagonals intersect at E. If m∠BAC=4x+5 and m∠CAD=5x-14, then find m∠CAD.
Answers
Answer: m∠CAD = 81°
Step-by-step explanation: Diagonal is a line that unites opposite sides.
ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.
The figure below shows ABCD with its diagonals.
Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So
m∠BAC = m∠CAD
4x + 5 = 5x - 14
x = 19
Then, m∠CAD is
m∠CAD = 5(19) - 14
m∠CAD = 81
The angle m∠CAD is 81°.
How to find the mean?
Answers
Answer:To find the mean of a data set, add all the values together and divide by the number of values in the set.
Step-by-step explanation:
8(j-6) +2 (5j-6) anyone know the answer ?
Answers
Answer:
18j -60Step-by-step explanation:
\(8(j-6) +2 (5j-6)\\\\\mathrm{Expand}\:8\left(j-6\right):\quad 8j-48\\\\=8j-48+2\left(5j-6\right)\\\\\mathrm{Expand}\:2\left(5j-6\right):\quad 10j-12\\\\=8j-48+10j-12\\\\\mathrm{Simplify}\:8j-48+10j-12:\\\quad 18j-60\)
ILL GIVE BRAINLIEST! PLEASE ANSWER IF YOU SEE THIS!!! David has a container filled with quarters and nickels. He has 29 coins which add up to $5.85. How many quarters does he have?
Answers
PLEASSSSSSSSEE HELP GIVING OUT BRAINLIEST
Answers
Answer:
what type of help do you want?
Solve graphically, 2x^2+2x-4=0
Answers
Is this relation a function?
Answers
Answer:
True
Step-by-step explanation:
First two points are inverse of last two points, all points reflects each other over y = -x
I need help on listing the four points that have a distance of 5 from the point B, correct answer I will make brainliest thank you!
Answers
Answer:
(0,5) (-5,0) (-5,10) (-10,5)
Step-by-step explanation:
Please answerrr I need help with hw and I still can't solve this!!!
Answers
The answer would be 16 all you have to do is multiply the length by the width which is 2 and 8.
PLS HELP ME FIND THE MEASURE OF THE ANGLE TY I APPRECIATE YOUR TIME& HELP <333
Answers
Answer:
I think its 90 degrees.
Step-by-step explanation:
Its a right angle
Answer:
180
Step-by-step explanation:
52 + 90 = 142
180-142=38
YXZ =180
(I'm going off based on what I was taught)
At the Hawaii Pineapple Company, managers are interested in the size of the pineapples grown in the company's fields. Last year, the mean weight of pineapples harvested from one large field was 31 ounces. A new irrigation system was installed in this field after the growing season. Managers wonder if the mean weight of pineapples grown in the field will be greater than last year.
They selected a simple random sample of 50 pineapples from this years crop. They would like to perform a significance test at
�
α =0.05 level of H0:
�
μ= 31 and Ha:
�
μ >31 where
�
μis the mean weight of pineapples grown in that field this year. The sample had a mean of 31.49 and a standard deviation of 0.82. What is the standardized test statistic
Answers
The calculated value Z = 11.792 >1.96 at a 0.05 level of significance.
The null hypothesis is rejected
The alternative hypothesis is accepted at a 0.05 level of significance.
The mean weight is less than 16 ounces.
What is Z-score?In statistics, the standard score is the number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured. Raw scores above the mean have positive standard scores, while those below the mean have negative standard scores.
Step:-1
Given that the mean of the Population = 16
Given that the standard deviation of the process
σ = 0.03 ounce
Given that the mean of the sample = 16.05 ounces
Null hypothesis: H₀:μ > 16 ounces
Alternative Hypothesis H₁: μ <16 ounces
Step:-2
Test statistic
Z = x-mean/SD√n
Z = 11.792
Level of significance = 0.05
Z₀.₀₅ = 1.96
Final answer:-
The calculated value Z = 11.792 >1.96 at a 0.05 level of significance.
The null hypothesis is rejected
The alternative hypothesis is accepted at a 0.05 level of significance.
The mean weight is less than 16 ounces
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I need the steps too
Answers
Answer:
x =10
Step-by-step explanation:
7(3x-1)-(x+5)
21x-7-x+5
20x-2=-52
x=20÷2