Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded condition and an abraded condition. Use the paired t test to test H0: ?D = 0 versus Ha: ?D > 0 at significance level 0.01. (Use ?D = ?U − ?A.) Fabric
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Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded condition and an abraded condition. Use the paired t test to test H0: ?D = 0 versus Ha: ?D > 0 at significance level 0.01. (Use ?D = ?U − ?A.)
Fabric | ||||||||
---|---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
U | 36.1 | 55.0 | 51.3 | 38.5 | 43.2 | 48.8 | 25.6 | 49.7 |
A | 28.5 | 20.0 | 46.0 | 34.0 | 36.0 | 52.5 | 26.5 | 46.5 |
Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places).
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- Subps SPorti that highpn Plopgrt a a 1% level of significance. wea # Engle wood O Hoi Mi Mz %3D 2.Consider the accompanying data on flexural strength (MPa) for concrete beams of a certaln type. 5.7 7.2 7.3 6.3 8.1 6.8 7.0 7.6 6.8 6.5 7.0 6.3 7.9 9.0 9.0 8.7 7.8 9.7 7.4 7.7 9.7 8.0 7.7 11.6 11.3 11.8 10.7 The data below give accompanying strength observations for cylinders. 6.5 5.8 7.8 7.1 7.2 9.2 6.6 8.3 7.0 8.5 7.6 8.1 7.4 8.5 8.9 9.8 9.7 14.1 12.6 11.9 Prior to obtaining data, denote the beam strengths by X, .., X, and the cylinder strengths by Y,..., Y,. Suppose that the X's constitute a random sample from a distribution with mean u, and standard devlation a, and that the Y/s form a random sample (Independent of the X's) from another distribution with mean H, and standard deviation a. (a) Use rules of expected value to show that X - Y is an unblased estimator of jH, - H. O E(X - ) - E(X) - E(Y) H1 - H2 nm O ECX - Y) - (E(X) – E(Yn) - Hy - Mz O ECX - ) - E(X) – E(Y) = Hi - Hz O E(X – Y) = VE(X) – E(Y) = Hy - Hz O ECX – Y) = nm( E(X) – E(Y) = Hy - H2 Calculate the estimate for the…3. A study on the length of a certain type of bacteria was conducted. The table below shows the data obtained from the study. Compute the 3 quartiles. Length (mm) Number of bacteria 31 - 35 26-30 8. 21 - 25 22 16 - 20 16 11 - 15 10 6- 10 4. 1-5 2. elow Compute fo
- K Maya Paniagua - L8.5 HW.pdf K Maya Paniagua - L8.5 CW.pdf The School Dist O web.kamihq.com/web/viewer.html?state=%7B"ids"%3A%5B"1Y9_ze2BW1NVXIO0HyNvRVnRzNRvzyz6C"%51 Maya Paniagua - C. PAGeometry 202.. Maya Paniagua - L8.5 HW.pdf + 9C 3. MK = 24, JL = 20, and mzMJL = 50° NK = MZKNL = J K NL = MZKJL = ML = MZMLK = JM = MZJKM = MZJML =The prevalence of a disease in the general population is 0.2%. A diagnostic test is developed that correctly predicts the disease state of a sick person 90% of the time and of a healthy person 95% of the time. a. Draw the Venn diagram for the problem and indicate the number of people out of 10,000 people total that fall into the diagram's four bins. The bins should be defined by disease state (D+/D¯) and test result (T+/T) where + indicates you have the disease and indicates that you do not. b. What is the probability that a person with a positive test result actually has the disease? c. What is the probability that a person with a negative test result does not have the disease? d. Does the test have practical value for detecting people with the disease and why?In 2005, Dr. Larry Kamin and his botany students at Benedictine University collected the following data on the height H of a tree measured in feet and the diameter D of the tree measured in inches. Diameter (inches) 13.5 2.9 10.5 10.7 13 20.5 23.2 5.7 35.1 3.5 25.1 Height (feet) 32.6 22.2 19 30.2 22.4 49.3 68.4 16.5 77.6 17.1 77.8 a) Paste the data into Desmos and use regression to find a power function that fits this data. Make sure to select Log mode in the window that shows the parameters. Write your answer as a function of diameter D. Round values to 3 decimal places. H(D) Hint: Make sure to select D from the drop down editor as the variable in your function, not x. Do not type in D. feet b) Now use the model to predict the height of an old-growth white oak tree with a diameter of 60 inches. feet
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- In 2005, Dr. Larry Kamin and his botany students at Benedictine University collected the following data on the height H of a tree measured in feet and the diameter D of the tree measured in inches. Diameter (inches) 10.5 13.5 35.1 23.2 13 14 20.5 27.5 11.9 35.3 5.7 Height (feet) 35.6 32.6 77.6 68.4 22.4 32.4 49.3 73.9 56.9 46.1 16.5 a) Paste the data into Desmos and use regression to find a power function that fits this data. Make sure to select Log mode in the window that shows the parameters. Write your answer as a function of diameter D. Round values to 3 decimal places. H(D) feet Hint: Make sure to select D from the drop down editor as the variable in your function, not x. Do not type in D. b) Now use the model to predict the height of an old-growth white oak tree with a diameter of 52 inches. feetGiven the following numbers, 2, 2, 3, 2, 4, 8, 0 Find: d. The varianceHW 10.1,10.2 A Ideas for Literature Review , Search Results instructure.com/courses/2177802/assignments/13744575 A Maps Terrier weight (lbs) 11.7 11.6 5.6 11.1 7.4 9. 9.9 9.7 10.3 11.1 11.1 12.3 13.5 Dashund weight (Ibs) 12.3 9.9 11.1 8.9 12.7 11.4 12.2 13.5 8.8 13.2 11.4 13.4 12.1 Use the sample data shown above to decide whether the mean weight of terriers is less than than the mean weight of daschunds at a = 0.01. Make sure you are looking at ALL the data. 1. The population distribution requirement for this test is: O None since this is a Z-test ONeed a normally distributed population since n, and n2 30 The hypotheses are: O Ho:p1 = p2; Ha:p1 # p2 O Ho:µ1 > µ2; Ha:µ1 p2; Ha:pi P2 O Ho:µ1 µ2 2. This is a O twoO leftO right tailed test and the distribution used is OT since both o values are not known O Z since testing two proportions OZ since both o values are known