What proportion of the specimens exhibit compressive strength of at least 200 psi? Enter the exact answer.
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- The compressive strength of concrete is being studied, and four different mixing techniques are being investigated. The föitowing data have been collected. Compressive Strength (psi) Mixing Technique Observations 1 3129 3000 2865 2890 2 3200 3300 2975 3150 3 2800 2900 2985 3050 4 2600 2700 2600 2765 (a) Test the hypothesis that mixing techniques affect the strength of concrete. Use a = 0.05. Calculate to 2 decimal places fo: i Does mixing technique affect concrete strength? (b) Find to 2 decimal places the P-value for the F-statistic computed in part (a). P-value = i (c) Analyze the following residual plots to determine model adequacy. Does the assumption of normality seem reasonable? Does the assumption of constant variance seem reasonable? >The table below shows the results from the specific gravity (S.G.) test performed in a soil laboratory including twenty samples of sand. Determine the Coefficient of Quartile Variation.Consider the compressive strength data from the table below. Consider the compressive strength data from the table below. Compressive Strength (in psi) of 80 Aluminum-Lithium Alloy Specimen 180 177 105 107 129 94 125 91 120 152 178 92 149 107 190 118 177 218 178 239 156 133 161 142 142 142 129 182 97 93 177 189 148 133 159 186 117 122 125 164 143 102 144 125 216 175 166 104 188 242 93 99 115 111 139 110 155 169 92 97 109 176 145 178 131 179 94 226 91 130 253 157 186 132 156 115 128 161 189 99 What proportion of the specimens exhibit compressive strength of at least 200 psí? Enter the exact answer. i
- An experiment was conducted to study the extrusion process of biodegradable packaging foam. Two of the factors considered for their effect on the unit density (mg/ml) were the die temperature (145 °C vs. 155 °C) and the die diameter (3 mm vs. 4 mm). The results are stored in [Packaging Foam 1]. Source: Data extracted from W. Y. Koh, K. M. Eskridge, and M. A. Hanna, "Supersaturated Split-Plot Designs," Journal of Quality Technology, 45, January 2013, pp. 61-72.At the 0.05 level of significance, 3mm 4mm 57.22 145 72.54 145 53.60 66.70 145 48.13 49.28 145 69.89 44.14 145 62.78 58.37 145 55.18 53.98 155 57.50 63.03 155 54.17 46.73 155 73.86 60.17 155 90.28 46.78 155 88.19 43.27 155 82.61 56.93 Die Temperature a. is there an interaction between die temperature and die diameter? b. is there an effect due to die temperature? c. is there an effect due to die diameter? d. Plot the mean unit density for each die temperature for each die diameter. e. What can you conclude about the effect of die…ONLY THE LAST ONE Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 5.9 7.2 7.3 6.3 8.1 6.8 7.0 7.5 6.8 6.5 7.0 6.3 7.9 9.0 8.4 8.7 7.8 9.7 7.4 7.7 9.7 8.2 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 8.3 7.8 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 X1, . . . , Xm and the cylinder strengths by Y1, . . . , Yn. Suppose that the Xi's constitute a random sample from a distribution with mean μ1 and standard deviation σ1 and that the Yi's form a random sample (independent of the Xi's) from another distribution with mean μ2 and standard deviation σ2. (a) Use rules of expected value to show that X − Y is an unbiased estimator of μ1 − μ2. E(X − Y) = E(X) − E(Y) = μ1 − μ2 E(X − Y) = E(X) − E(Y) 2 = μ1 − μ2 E(X − Y) = nm E(X) − E(Y) = μ1 − μ2 E(X −…Artificial hip joints consist of ball and socket. As the joint wears, the ball (head) becomes rough Investigators performed wear tests on metal artificial hip joints. Joints with several different diameters were tested. The Following table presents measurements of head roughness (in nanometers). Diameter Head Roughness 16 0.83 2.25 0.40 2.78 3.23 28 2.72 2.48 3.80 36 6.49 5.32 4.59 a. Because the design is unbalanced, check that the assumption of equal variances is by showing that the largest sample standard deviation is less than twice as large as the smallest one. b. Construct an ANOVA table. c. Can you conclude that the mean roughness varies with diameter? Use the a=0.01 level of significance.
- Consider the compressive strength data from the table below. Compressive Strength (in psi) of 80 Aluminum-Lithium Alloy Specimen 144 143 90 113 141 101 183 162 184 115 98 265 107 151 115 135 235 126 112 177 129 182 145 203 124 134 176 145 140 213 188 97 109 267 134 102 145 151 144 141 161 179 111 108 179 138 161 192 171 262 174 164 168 93 153 150 103 118 247 116 257 145 270 151 102 110 203 158 147 92 124 99 102 164 117 146 121 129 113 119 What proportion of the specimens exhibit compressive strength of at least 200 psi? Enter the exact answer. iSpider silk is the strongest known material, natural or man-made, on a weight basis. A study examined the mechanical O Assignment Score: 25% O Resources Give Up? Check Answer Question 13 of 20 properties of spider silk using 21 female golden orb weavers, Nephila clavipes. The data on silk yield stress rn the amount of force per unit area needed to reach permanent deformation of the silk strand. The data are exprece megapascals (MPa). 164.0 478.7 251.3 351.7 173.0 448.9 300.6 362.0 272.4 740.2 329.0 327.2 270.5 332.1 288.8 176.1 282.2 236.1 358.2 270.5 290.7 (a) Use the software of your choice to make a dotplot of these data. Select the correct description of the shape, center, and spread of the distribution. O The distribution is unimodal and essentially symmetric except for a high outlier. The center is approximately 291 MPa. The spread is from 164.0 to 478.7 MPa. 0% O The distribution is unimodal and extremely left-skewed except for a high outlier. The center is approximately 240…A study of the properties of metal plate-connected trusses used for roof support yielded the following observations on axial stiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 in: 4: 329.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 425.1 347.2 361.0 404.5 331.0 348.9 381.7 8: 389.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 341.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 414.4 441.8 419.9 410.7 473.4 441.2 465.8 USE SALT Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance. O Ho: M₁ = H₂ = 13 = H4 = 1₂ H₂: all five μ's are unequal O Ho: My H₂ H3 ‡ M4 # M5 H₂: at least two μ's are equal O Ho: My # H₂ H3 # H4 # H5 H₂: all five us are equal = = o Hỏi khi là không = 3 = Mà khô H₂: at least two μ's are unequal Test the relevant hypotheses using analysis of variance with a = 0.01. Display your results in an ANOVA table. (Round your answers to two decimal places.) Sum of Squares Source Treatments Error…
- A study of the properties of metal plate-connected trusses used for roof support yielded the following observations on axial stiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 in: 4: 315.2 409.5 311.0 326.5 316.8 349.8 309.7 6: 405.1 347.2 361.0 404.5 331.0 348.9 381.7 8: 399.4 366.2 351.0 357.1 409.9 367.3 382.0 10: 353.7 452.9 461.4 433.1 410.6 384.2 362.6 12: 417.4 441.8 419.9 410.7 473.4 441.2 465.8 n USE SALT Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance. O Ho: H1# H2 # Hz# H4# H5 H: at least two µ's are equal O Ho: H1 = H2 = H3= H4= H5 H: at least two u's are unequal O Ho: H1 # H2 # Hz# H4# Hs H: all five u's are equal O Ho: H1 = H2 = Hz3 = H4= Hs H: all five u,'s are unequal Test the relevant hypotheses using analysis of variance with a = 0.01. Display your results in an ANOVA table. (Round your answers to two decimal places.) Degrees of freedom Sum of Squares Mean Source…Computer chips often contain surface imperfections.For a certain type of computer chip, theprobability mass function of the number of defects X is presented in the following table.2. Three tensile tests were carried out on an aluminum bar. In each test, the strain was measured at the same values of stress. The results were Stress (MPa) 34.5 69.0 103.5 138.0 Strain (Test 1) 0.46 0.95 1.48 1.93 Strain (Test 2) 0.34 1.02 1.51 2.09 Strain (Test 3) 0.73 1.10 1.62 2.12 Where the units of strain are mm/m. Use linear regression to estimate the modulus of elasticity of the bar (modulus of elasticity = stress/strain). %3D