5

It IS required to compare the compressive strength of concrete produced by two factories and B)_ The compressive strengths of samples randomly selected from the pro...

Question

It IS required to compare the compressive strength of concrete produced by two factories and B)_ The compressive strengths of samples randomly selected from the production of factories A and B are shown below:Factory A: 290 _ 295 305 307 309 285 315 304 295 310 Factory B: 301 , 305 289 , 306 , 288 , 314 , 315 , 302 , 305 298If you were not able to prove that the data from factory A are normally distributed; using significant level of 0.02, test the claim that the two factories produce no differe

It IS required to compare the compressive strength of concrete produced by two factories and B)_ The compressive strengths of samples randomly selected from the production of factories A and B are shown below: Factory A: 290 _ 295 305 307 309 285 315 304 295 310 Factory B: 301 , 305 289 , 306 , 288 , 314 , 315 , 302 , 305 298 If you were not able to prove that the data from factory A are normally distributed; using significant level of 0.02, test the claim that the two factories produce no difference concrete compression strength?



Answers

A certain type of concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The strength of concrete is measured by pouring the mix into casting cylinders 6 inches in diameter and 12 inches tall. The concrete is allowed to set up for 28 days. The concrete's strength is then measured (in psi). The following data represent the strength of nine randomly selected casts: $$3960,4090,3200,3100,2940,3830,4090,4040,3780$$ Compute the range and sample standard deviation for the strength of the concrete (in psi).

Let us solve the first part of this problem. So the issue of tensile strength to that of density of tendon equals two. This you will recall to tensile strength divided by the density. So the tensile strength here is given as 18 multiplied by 10 to the power of six article. And the density is 1100 kg permit. Er too. So from here figured there is us 7.3 multiplied by. And to the pharaoh or paschal later cube for Katie. So the ratio of tensile strength and density of steel. This is for attendant for attendance. Now, for is still ratio will be physicals to tensile strength. That is tensile strength divided by the density of steel. Density can be written as a room. So let us put. The density of tensile strength of steel is zero point by multiple. Were tend to the poor nine paschal Divided by the density of silly is 7700. Easy permitted you. So this race, you will come out to me six point by you multiplied where and to the part of food paschal metal cube, Katie. No. So from So we got from this. We can easily see that calculation tendon and then is more stronger than they feel so and is more stronger. Were then still then mm. Because the issue for the rescue of tensile strength to the density for the tendon is more than there is your tensile strength density of steel. No, let us solve part here or tendon for amendment. The issue of compressive strength to density. So compressive strength, compressive strength. Where where density density is room to receive a tendon. For ratio for attendance will be equal to compressive strength for tendencies. 160 multiplied by 10 to the power of This is six possible and densities 1600 Casey parameter cuba. This is for not for tender and this is for bones. This is what Boone. So it will come out to be one multiplied. Where? Then to the part of. Why you paschal? No Turkey but Katie. Similarly we can find or ratio for concrete. There is you will be race. You will be equal to compressive strength of Concrete. That is given a 0.4. multiplied by 10 to the power of nine paschal, Divided by the density of concrete is 2700. Easy for me. Thank you. So it will come out to me. 1.5 Multiplied were 10 to the power Multiplier will tend to the four of 5 rascal. We take you hurricane. So we can easily say that we can explicit. It interests you. Of ratio for the boon is less than raise you for the concrete. So concrete is more. Still more concrete is more stronger than born hands along the. Mhm. More I'm good then. One hope you like the solid

Yeah. Alright guys. So for this one we are required to find the range first. So let's start there. So the range guys can easily come uh computed by just subtracting um the largest data point by the smallest data points. I'm gonna start by find the large one. So I'm gonna scan through all the data points here. 4090 Looks promising. For that's okay. 40 So it's 4090 that's our biggest one. And we're going to subtract the smallest one. What's the smallest one looks like? 2940. The smallest ones are going to subtract. And then so my enter is 1150 to a range is 1150. Alright, now it's time to find the sample variance. How do I do that first? I'm gonna start by going to a new cell there pressing the equal sign and then for google sheets or excel, you type in via our that's Andrew variance. I'm going to click on that. and then it wants me to select right here. When it opens parentheses, it does want me to select all the data points. I will do that now and then hit enter and there's our variants with a pretty big number there and then um let's continue on to find the stair deviation. Okay, cool, So defined standard deviation? It's S T dev. And there it is S T dev. Then we select all our data points and then we hit enter and there is our standard deviation I usually just limited to three decimal places. So there we go. So that is our range is there, that is our variance, sample variance and that is our sample standard deviation.

All right. In this problem we are told that the random variable is normally distributed and has means 6000 and standard deviation sigma equals 100. Basically information. Hello, we want to answer a three seat. This question is testing our understanding of random variables. Specifically normal variables or normally distributed variables. Facade, let's first review relevant information to the normal distribution which will allow us to answer agency. So we cannot these scores on the probabilities using a Z table. Yeah, because the tables are used for standard distributions. We have to make the conversion from our random variable X here to a standard normal distribution. We do that using conversion Z equals x minus mu over sigma. Specifically, you can utilize the symmetry of the normal curve as well as total area in the normal curve being one to answer questions eight through see below as well. So first to find the probability that x is less than 60 to 50 we're looking for the probably that Z is less than a certain value. Probably that 60 we can convert 62 52. The Z score of 62 59 6100 equals 2.5. That's the probably the less than 2.5 is not 0.62 but rather one minus 10.62 by symmetry. So if we can fix this answer now we write this as one minus 10.62 equals 0.9938. Next proceeding to part B one of the probably between 585901st as I've done here, we convert to the relevancy scores as I did in part, a probability falls between these scores. 1.1359 from is the table finally, and see what strength is exceeded by 95% of samples. We want to find the sample where 95% is to the right. That is probably the greatest seen articles. 950.95 from a normal distribution table. This is not equals negative 1.64. To convert to X. We reverse this equation to obtain X equals 100 times the Not for 6000 equals 58 36.

All right. In this problem we are told that the random variable is normally distributed and has means 6000 and standard deviation sigma equals 100. Basically information. Hello, we want to answer a three seat. This question is testing our understanding of random variables. Specifically normal variables or normally distributed variables. Facade, let's first review relevant information to the normal distribution which will allow us to answer agency. So we cannot these scores on the probabilities using a Z table. Yeah, because the tables are used for standard distributions. We have to make the conversion from our random variable X here to a standard normal distribution. We do that using conversion Z equals x minus mu over sigma. Specifically, you can utilize the symmetry of the normal curve as well as total area in the normal curve being one to answer questions eight through see below as well. So first to find the probability that x is less than 60 to 50 we're looking for the probably that Z is less than a certain value. Probably that 60 we can convert 62 52. The Z score of 62 59 6100 equals 2.5. That's the probably the less than 2.5 is not 0.62 but rather one minus 10.62 by symmetry. So if we can fix this answer now we write this as one minus 10.62 equals 0.9938. Next proceeding to part B one of the probably between 585901st as I've done here, we convert to the relevancy scores as I did in part, a probability falls between these scores. 1.1359 from is the table finally, and see what strength is exceeded by 95% of samples. We want to find the sample where 95% is to the right. That is probably the greatest seen articles. 950.95 from a normal distribution table. This is not equals negative 1.64. To convert to X. We reverse this equation to obtain X equals 100 times the Not for 6000 equals 58 36.


Similar Solved Questions

5 answers
(10 points Lei X Bin ( 3,5} . Define Y (X - 21? Find the moment generating tion of Y then derive variance 0f Y from the MGF
(10 points Lei X Bin ( 3,5} . Define Y (X - 21? Find the moment generating tion of Y then derive variance 0f Y from the MGF...
5 answers
Q2 Solve the following IVP: (ry2)dy (x3 + y3)dx = 0, %(1) = 2
Q2 Solve the following IVP: (ry2)dy (x3 + y3)dx = 0, %(1) = 2...
5 answers
Evaluate L F . dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify your results(Syi Sxj) . drC: smooth curve from (0, 0) to (5, 4)
Evaluate L F . dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify your results (Syi Sxj) . dr C: smooth curve from (0, 0) to (5, 4)...
5 answers
12. Find the horizontal asymptote of the polynomial if one exists If a horizontal asymptote does not exist, explain why it doesn 't exist.+3 3x2+9x-1 ~6x4-10x+44xs+6x b) 16x2+12*+9
12. Find the horizontal asymptote of the polynomial if one exists If a horizontal asymptote does not exist, explain why it doesn 't exist. +3 3x2+9x-1 ~6x4-10x+4 4xs+6x b) 16x2+12*+9...
5 answers
Solve the given differential equation by separation of variables.$$ rac{d P}{d t}=P-P^{2}$$
Solve the given differential equation by separation of variables. $$\frac{d P}{d t}=P-P^{2}$$...
5 answers
Y" + 8y' + 16y = 0Give the characteristic polynomial for the differential equation. (use as your variable )List the roots of the characteristic polynomial for the differential equation:List the basic solutions for the differential equation, i.e. y1(t), y2(t).
y" + 8y' + 16y = 0 Give the characteristic polynomial for the differential equation. (use as your variable ) List the roots of the characteristic polynomial for the differential equation: List the basic solutions for the differential equation, i.e. y1(t), y2(t)....
5 answers
Your boss believes that pennies that are spun (rather than flipped) land heads up exactly 50% of the time. You suspect that the true proportion of heads is less than 50%. To investigate this, You spin a penny 100 times, obtaining 42 heads(a) rect_Using level-0.05 test, test for evidence that your suspicions are COI-Suppose that the true proportion of heads is actually 35%. What is the power for the test that you did in part a)?
Your boss believes that pennies that are spun (rather than flipped) land heads up exactly 50% of the time. You suspect that the true proportion of heads is less than 50%. To investigate this, You spin a penny 100 times, obtaining 42 heads (a) rect_ Using level-0.05 test, test for evidence that your ...
1 answers
$43-44$ Show that the function is differentiable by finding values of $\varepsilon_{1}$ and $\varepsilon_{2}$ that satisfy Definition 7 . $$f(x, y)=x^{2}+y^{2}$$
$43-44$ Show that the function is differentiable by finding values of $\varepsilon_{1}$ and $\varepsilon_{2}$ that satisfy Definition 7 . $$f(x, y)=x^{2}+y^{2}$$...
5 answers
The mean of the 5 observations in the following table is 16.Find the missing values.Observationxx−¯x(x−¯x)211121843-525412-452236Total0Report the sample standard deviation accurate to at least 2decimal places.The sample standard deviation, s=
The mean of the 5 observations in the following table is 16. Find the missing values. Observation x x−¯x (x−¯x)2 1 1 1 2 18 4 3 -5 25 4 12 -4 5 22 36 Total 0 Report the sample standard deviation accurate to at least 2 decimal places. The sample standard deviation, s=...
5 answers
13) a7 + 173+16 = 1614) k + 25k+ 130 = 415) n? + 9n - 20 = 216) b7 _ 9b -81 = 9
13) a7 + 173+16 = 16 14) k + 25k+ 130 = 4 15) n? + 9n - 20 = 2 16) b7 _ 9b -81 = 9...
5 answers
Pioe ?iouedojd pue ploe %ioueing (a) pipe pioueinq pue Iouedold (3) pipe %iouedoud pue goueing (8) Iouedojd pue joueing (V)iejeoueinq IAdold azisayuks 01 pauiquuov aq pinoys spunoduo? Jo suled BuIMOIlo} &41 J0 YD14M
pioe ?iouedojd pue ploe %ioueing (a) pipe pioueinq pue Iouedold (3) pipe %iouedoud pue goueing (8) Iouedojd pue joueing (V) iejeoueinq IAdold azisayuks 01 pauiquuov aq pinoys spunoduo? Jo suled BuIMOIlo} &41 J0 YD14M...
5 answers
Question 5 of 10EView Policies Current Attempt in ProgressAn electric generator contains coil of 120 turns of wire; each forming a rectangular loop 62.9 cm by 37.0cm. The coil is placed entirely in a uniform magnetic field with magnitude B = 5.21 T and initially perpendicular to the coil's plane What is in volts the maximum value of the emf produced when the loop is spun at 981 rev/min about an axis perpendicular to the magnetic field?NumberUnits
Question 5 of 10 E View Policies Current Attempt in Progress An electric generator contains coil of 120 turns of wire; each forming a rectangular loop 62.9 cm by 37.0cm. The coil is placed entirely in a uniform magnetic field with magnitude B = 5.21 T and initially perpendicular to the coil's p...
5 answers
Problem 4.5mice; short-tailed mutant was discovered. Whon Mas crossed t0 normal long; Htailed mouse olfspring were short- talled and were long-tailed_ Two short-tailed mice from the Fi generation were selected and crossed They produced shor- tailed and long-tailed mice. These genetic oxperiments were repealed Inree times wilh approximatoly the same resultsWhat genetc ratos Bre Drag the eppreen ratlos In trentete
Problem 4.5 mice; short-tailed mutant was discovered. Whon Mas crossed t0 normal long; Htailed mouse olfspring were short- talled and were long-tailed_ Two short-tailed mice from the Fi generation were selected and crossed They produced shor- tailed and long-tailed mice. These genetic oxperiments we...
5 answers
Answer the following questions about the function whose derivative is f' (x) = (x-7)2 (x + 8). What are the critical points of f? b. On what open intervals is f increasing or decreasing? c. At what points, if any; does f assume local maximum and minimum values?
Answer the following questions about the function whose derivative is f' (x) = (x-7)2 (x + 8). What are the critical points of f? b. On what open intervals is f increasing or decreasing? c. At what points, if any; does f assume local maximum and minimum values?...
5 answers
Chac erceoralnaldenydls) Yov z0u Lhat aldenycl: react canm Dtoqucl Explain:requino aqeneprmaryGon {RCA=CRca_ur) Mne *tructuresEcteleetroEEEnomnUAEm Canrlmucaaoroduclbutthe otneryleldsHOHHO (-OHH=OHCHOH DErythnxseCH,OH D-ThnuseTne reduced productD-threost nessymmetry plane andachiral:Th e reduced DrodicrD-eny(nrose hasEummetntaneandcallnalTne reduced prod uctEmcaroseaaasSnnmtn DianranBeninaTne reduced productD-chreose nsSymmetry pian eacniral:
chac er ceoraln aldenydls) Yov z0u Lhat aldenycl: react canm Dtoqucl Explain: requino aqene prmary Gon {RCA=C Rca_ur) Mne *tructures EcteleetroEE Enomn UAEm Can rlmucaa oroducl butthe otnerylelds H OH HO (- OH H= OH CHOH DErythnxse CH,OH D-Thnuse Tne reduced product D-threost nes symmetry plane and ...

-- 0.022064--