Caselet #1 CONCRETE STRENGTH The strength of concrete depends, to some extent, on the method used for drying. Two different drying methods showed the following results for independently tested specimens (measurements in psi): Do the methods appear to produce concrete with different mean strengths? Use a = 0.05. %3D Method I n = 37 ž, = 3.25 sz = 2.10 Method II n2 = 40 žz = 3.24 S2 = 1.90
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The strength of concrete depends, to some extent, on the method used for drying. Two different drying methods showed the
following results for independently tested specimens (measurements in psi): Do the methods appear to produce concrete with
different mean strengths? Use � = 0.05 .
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- A river was contaminated with waste materials. Specimens of these materials were collected andtheir physical appearance recorded as shown in Table 3. Is there evidence of association betweencolor and texture for these waste materials based on the given hypothesis? Explain your findings.Use ? = 0.05.H0: No relationship between texture and colourH1: Relationship exist between texture and colour colour colour colour texture light medium dark fine 4 20 8 medium 5 23 12 coarse 21 23 417.7 Butterfly wings. Researchers studied the morphological attributes of monarch butterflies (Danaus plexippus), a species that undertakes large seasonal migrations over North America. They measured the forewing weight (in milligrams, mg) of a sample of 92 monarch butterflies, all of which had been reared in captivity in identical conditions.° Figure 17.4 shows the output from the statistical software JMP. (The data are also available in the Large.Butterfly the data file if you wish to practice working with your own software.) Estimate with 95% confidence the mean forewing weight of monarch butterflies reared in captivity. Follow the four- step process as illustrated in Example 17.2. 4 STEP そMP FWweight 30 25 20 15 10 11 12 13 14 15 8 9 10 Summary Statistics Mean 11.795652 Std Dev 1.1759413 Std Err Mean 0.1226004 Upper 95% Mean Lower 95% Mean 1 FIGURE 17.4 Software output (JMP) for the forewing weight of monarch 12.039183 11.552122 92 N. butterflies. CountFifty male subjects drank a measured amount x (in ounces) of a medication and the concentration y (in percent) in their blood of the active ingredient was measured 30 minutes later. The sample data are summarized by the following information: n = 50 Ex = 112.5 Ex? = 356.25 %3D Ey = 4.83 Ey = 0.667 Exy = 15.255 0 < x < 4.5 Or= 0.875 Or= 0.709 Or= -0.846 Or=0.460 Or= 0.965
- Hydrogen content is conjectured to be an important factor in porosity of aluminum alloy castings. An article gives the accompanying data on x = content and y = gas porosity for one particular measurement technique. 0.18 0.20 0.21 0.21 0.21 0.22 0.23 0.23 0.24 0.24 0.25 0.28 0.30 0.37 0.48 0.71 0.42 0.44 0.55 0.44 0.24 0.48 0.22 0.82 0.86 0.72 0.70 0.74 Minitab gives the following output in a response to a Correlation command: Correlation of Hydrcon and Porosity = 0.425 (a) Test at level 0.05 to see whether the population correlation coefficient differs from o. State the appropriate null and alternative hypotheses. O Ho: p = 0 Hip 0 O Ho: p = 0 Hip + 0 O Ho: p+0 Hip = 0 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. O Fail to reject H: The data does not suggest that the population correlation coefficient differs significantly…n. ln. N Ciectical Cnyineers GToup as Cv = 40.32 % The following data represent the results obtained from the specific gravity (S.G.) test performed ina soil laboratory including * ?for sand samples. Find the mode Number of Specific Gravity 2.30-2.39 Samples 2.40-2.49 2.50-2.59 4 6. 2.60-2.69 12 2.70-2.79 14 2.80-2.89 2 3.35-3.40 2.10-2.15 2.20-2.25 2.70-2.75 2.80-2.85 2.30-2.35 2,60-2.65 2.40-2,45 2.50-2.55 2.90-2.95 ارفع اجابتك بشكل ملف wdf او صورة 1O 0O 10 O O O O OThe critical value for t for n = 9 for a one tail test at a = 5% LOS is %3D t table link: https://drive.google.com/drive/folders/10Vh9s) usp=sharing a. 1.860 b. 2.896 C. 1.833 d. 2.821
- Han Samples are collected from the River X and pH values are observed. 9 different pH values are listed in table 3. Table 3 Concentrations 4.2 3.8 6.0 3.5 8.1 4.9 4.1 3.2 4.0Draw box plot and find a. Bowley’s coefficient of skewness b. Karl Pearson’s coefficient of skewness c. Third momentLet ?1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?2 denote the true average tread life for an economy brand of the same size. Test H0: ?1 − ?2 = 5000 versus Ha: ?1 − ?2 > 5000 at level 0.01, using the following data: m = 45, x = 42,100, s1 = 2400, n = 45, y = 36,200, and s2 = 1800.Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Reject H0. The data suggests that the difference in average tread life exceeds 5000. Fail to reject H0. The data suggests that the difference in average tread life exceeds 5000.Reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Let ?1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?2 denote the true average tread life for an economy brand of the same size. Test H0: ?1 − ?2 = 5000 versus Ha: ?1 − ?2 > 5000 at level 0.01, using the following data: m = 45, x = 42,100, s1 = 2400, n = 45, y = 36,200, and s2 = 1800. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Reject H0. The data suggests that the difference in average tread life exceeds 5000. Fail to reject H0. The data suggests that the difference in average tread life exceeds 5000.Reject H0. The data does not suggest that the difference in average tread life exceeds 5000.
- The data represent below is the average of stiffness of coil spring. The data collected from 10 samples, where each sample contains only one individual observation. Calculate UCL, CL and LCL for X-bar chart for individual observations. Plot X-bar chart for individual observations. Is the process statistically in control? Sample 1 20.47 Sample 2 20.42 Sample 3 20.41 Sample 4 20.49 Sample 5 20.51 Sample 6 20.44 Sample 7 20.46 Sample 8 20.50 Sample 9 20.49 Sample 10 20.45The average life expectancy of tires 40,000 miles. The company has rece The manager hopes to find out wheth life test, 40 tires were used, and their following SPSS results: One-Sample Statistics Std. Dev Mean time 40881.8262 40 2945 One- df Sig. (2-taile 1.893 Set up Ho: M = 40,000 %3D HA: The test statistic is 1.893 The distribution of the test stati Make the statistical decision (o Express the statistical decisionQ3) An experiment was carried out to investigate variation of solubility of chemical X in water. The quantities in kg that dissolved in 1 liter at various temperatures are show in the table (1). Table (1) Temperature C Mass of X 2.1 2.6 2.9 3.3 15 20 25 30 35 4 50 5.1 70 7 Use the proper methods to answer the following questions: a) Draw a scatter diagram to show the data. b) Estimate the temperature based on the mass of X. c) What quantity might be expected to dissolve at 42 C? Find the quantity that your cquation indicates would dissolve at 10 C and comment on your answer.