statistics The effect of nozzle design on the stability and performance of turbulent water jets, described an experimentin which a shape measurement was determined for several different nozzle types at different levels of jetefflux velocity. Interest in this experiment focuses primarily on nozzle type, and velocity is a nuisance factor.The data follow:a. Does nozzle type affect shape measurement? Use 0.05 level of significanceb. Use Fisher's LSD method to determine specific differences among the nozzlesJet Efflux Velocity (m/s)Nozzle Type 11.73 14.37 16.59 20.43 23.46 28.7410.780.800.810.750.770.780.850.850.920.860.810.830.930.920.950.890.890.8341.140.970.980.880.860.830.970.860.780.760.760.752.3.

There are 5 nozzle types. The objective is to test the effect of various nozzle types on shape…

Answered: The effect of nozzle design on the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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I need help with part (c) only, I need t statistic and p value. Mist (airborne droplets or aerosols) is generated when metal-removing fluids are used in machining operations to cool and lubricate the tool and workpiece. Mist generation is a concern to OSHA, which has recently lowered substantially the workplace standard. An article gave the accompanying data on x = fluid-flow velocity for a 5% soluble oil (cm/sec) and y = the extent of mist droplets having diameters smaller than 10 µm (mg/m3): x 88 177 182 354 369 442 970 y 0.39 0.60 0.50 0.66 0.61 0.69 0.92 (a) The investigators performed a simple linear regression analysis to relate the two variables. Does a scatter plot of the data support this strategy? Yes, a scatter plot shows a reasonable linear relationship.No, a scatter plot does not show a reasonable linear relationship. (b) What proportion of observed variation in mist can be attributed to the simple linear regression relationship between velocity and…
The accompanying data resulted from an experiment in which weld diameter and shear strength (in pounds) were determined for five different spot welds on steel. Below are the data collected and the regression equation. Diameter Strength 200.1 813.7 210.1 785.3 220.1 960.4 230.1 1118.0 240.0 1076.2 Strength = -941.6992 + 8.5988*Diameter a)The predicted y-hat value for a diameter of 201 is 864. Interpret this predicted value. b)what is the predicted strength of a weld with a diameter of 51?
In a sample of 300 steel rods, the correlation coefficient between diameter and length was r = 0.15. Find the P-value for testing H0: ρ ≤ 0 vs. H1: ρ > 0. Can you conclude that ρ > 0? Does the result in part (a) allow you to conclude that there is a strong correlation between eccentricity and smoothness? Explain.
The efficiency ratio for a steel specimen immersed in a phosphating tank is the weight of the phosphate coating divided by the metal loss (both in mg/ft2). The article “Statistical Process Control of a Phosphate Coating Line” (Wire J. Intl., May 1997: 78–81) gave the accompanying data on tank temperature (x) and efficiency ratio (y).Temp. 170 172 173 174 174 175 176Ratio .84 1.31 1.42 1.03 1.07 1.08 1.04Temp. 177 180 180 180 180 180 181Ratio 1.80 1.45 1.60 1.61 2.13 2.15 .84Temp. 181 182 182 182 182 184 184Ratio 1.43 .90 1.81 1.94 2.68 1.49 2.52Temp. 185 186 188Ratio 3.00 1.87 3.08a. Construct stem-and-leaf displays of both temperature and efficiency ratio, and comment on interesting features.b. Is the value of efficiency ratio completely and uniquely determined by tank temperature? Explain your reasoning.c. Construct a scatterplot of the data. Does it appear that efficiency ratio could be very well predicted by the value of temperature? Explain your reasoning.
How do you sovle? ref W9Q6.
Water is poured into a large, cone-shaped cistern. The volume of water, measured in cm, is reported at Which of the following would linearize the data for volume and time? different time intervals, measured in seconds. The scatterplot of volume versus time showed a curved Seconds, cm3 O In(Seconds), cm3 Seconds, In(cm') pattern. O In(Seconds), In(cm³)
A statistical program is recommended. Electromagnetic technologies offer effective nondestructive sensing techniques for determining characteristics of pavement. The propagation of electromagnetic waves through the material depends on its dielectric properties. The following data, kindly provided by the authors of the article "Dielectric Modeling of Asphalt Mixtures and Relationship with Density," was used to relate y dielectric constant to x = air void (%) for 18 samples having 5% asphalt content. y 4.55 4.49 4.50 4.47 4.47 4.45 4.40 4.34 4.43 4.43 4.42 4.40 4.33 4.44 4.40 4.26 4.32 4.34 x 4.35 4.79 5.57 5.20 5.07 5.79 5.36 6.40 5.66 5.90 6.49 5.70 6.49 6.37 6.51 7.88 6.74 7.08 The following R output is from a simple linear regression of y on x. Std. Error Estimate 4.858691 0.059768 -0.074676 0.009923 (Intercept) AirVoid Residual standard error: 0.03551 on 16 R-squared: 0.7797, F-statistic: 56.63 on 1 and 16 DF, Analysis of Variance Table Response: Dielectric. Df 1 Airvoid Residuals…
The article "Characteristics and Trends of River Discharge into Hudson, James, and Ungava Bays, 1964-2000" (S. Dery, M. Stieglitz, et al., Journal of Climate, 2005:2540-2557) presents measurements of discharge rate x (in kmlyr) andpeakflow y (in m/s) for 42 rivers that drain into the Hudson, James, and Ungava Bays. The data are shown in the following table: Discharge Peak Flow 94.24 4110.3 66.57 4961.7 59.79 10275.5 48.52 6616.9 40.00 7459.5 32.30 2784.4 31.20 3266.7 30.69 4368.7 26.65 1328.5 22.75 4437.6 21.20 1983.0 20.57 1320.1 19.77 1735.7 18.62 1944.1 17.96 3420.2 17.84 2655.3 16.06 3470.3 1561.6 14.69 11.63 869.8 11.19 936.8 11.08 1315.7 10.92 1727.1 9.94 768.1 7.86 483.3
Elasticity is an important parameter of kernmantle ropes (used in climbing, caving, mountaineering, etc.). One of the ways of describing it is static elongation (measured under a resting load of 80 kg). Static elongation was measured for two random rope samples of two different types of weaving. type-1 6.34 6.16 6.32 6.21 6.36 6.43 6.02 6.21 6.47 6.21 6.49 6.21 6.16 6.19 6.29 6.33 6.51 type-2 6.38 6.51 6.49 6.44 6.46 6.43 6.52 6.32 6.33 6.32 6.31 6.34 6.13 6.42 (b) Find the P-value for this test. O 0.01 < P - value < 0.025 0.1 < P - value < 0.25 0.05 < P – value < 0.1 0.0025 < P – value < 0.005 (c) Construct a 95% confidence interval for the difference in the mean static elongation of ropes. Round your answers to three decimal places (e.g. 98.765).
For the past decade, rubber powder has been used in asphalt cement to improve performance. An article includes a regression of y = axial strength (MPa) on x cube strength (MPa) based on the following sample data: 112.3 97.0 92.7 86.0 102.0 99.2 95.8 103.5 89.0 86.7 74.7 70.7 58.0 49.2 74.3 73.0 68.3 59.5 57.3 48.9 (a) Obtain the equation of the least squares line. (Round all numerical values to four decimal places.) %3D Interpret the slope. A one MPa decrease in axial strength is associated with an increase in the predicted cube strength equal to the slope. A one MPa decrease in cube strength is associated with an increase in the predicted axial strength equal to the slope. A one MPa increase in axial strength is associated with an increase in the predicted cube strength equal to the slope. A one MPa increase in cube strength is associated with an increase in the predicted axial strength equal to the slope. (b) Calculate the coefficient of determination. (Round your answer to four…
"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for the same fabric specimens discussed in the previous exercise: Permafresh Hylite 156 148 152 197 151 187 122 142 133 A manufacturer wants to know how large is the difference in mean wrinkle recovery angle. a. The mean and the standard deviation for the Permafresh are: Round to 3 decimal places. Round to 3 decimal places. b. The mean and the standard deviation for the Hylite are: Round to 3 decimal places. Round to 3 decimal places. c. The standard error is: SE = Round to 3 decimal places. The critical value from the distribution for a confidence interval of 99.8% is: t= Use degrees of freedom of 3. Use Technology. Round to 3 decimal places. d. Using the the answer from above (all rounded to 3 decimal places), calculate by hand a 99.8%…
Do the amount of RHA affect the compressive strength? How?

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