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 12 329.2 409.5 311.0 326.5 316.8 349.8 309.7 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.
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- The horizontal distance between point A and point B was measured repeatedly giving the following results. Observations are in feet (5 points). 17.6612, 17.6612, 17.6593, 17.6632, 17.6642, 17.6629, 17.6527, 17.6641, 17.6534, 17.6519, 17.6630, 17.6663, 17.6590, 17.6605, 17.6586 A) Compute the mean and the standard deviation of the observations. B) Remove 3 measurements with highest error from the above observations and compute the mean and the standard deviation againFor the following data, which represent the compressive tolerance of a particular material, find the following: 1- range 2- Draw the recurring polygon. 3- Draw the histogram. 300 400 500 600 700 800 900 1000 1100 Category 399 499 599 699 799 899 999 1099 1199 Repetition 14 46 58 76 68 62 49 22 6.The determination of the shear strength of spot welds is relatively difficult, whereas measuring the weld diameter of spot welds is relatively simple. As a result, it would be advantageous if shear strength could be predicted from a measurement of weld diameter. The data are as follows: Shear strength (psi) Weld diameter (0.0001 in) 370 400 780 800 1210 1250 1560 1600 1980 2000 2450 2500 3070 3100 3550 3600 3940 4000 3950 4000 a) Test the hypothesis that the slope of the regression line is equal to 1 at the 0.05 level of significance.
- Review the examples done in class of a cube with a side of 1cm,2cm, and 4cm and their SA/V ratios. Using data from all 5 cubes (1cm,2cm,4cm,3cm, and 30cm) create a table for the data including side length, surface area, volume, and SA/V ratio.The measurement of spread or scatter of the individual values around the central point is called: a. Measures of kurtosis b. Measures of dispersion c. mean d. Measures of skewnessThe following data are given for a biogas digester suitable for the output of six cows. The volume of digester is 8.4 m, the volume of gas holder is 2.3 m and the retention time is 26 days. Find the height of gas holder height of gas holder = cm
- Flexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are on flexural strength of concrete (in MegaPascal): (a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Stems Leaves 5 6 7 8 9 10 11 5.9 7.2 7.3 6.1 8.1 6.8 7.0 7.6 6.8 6.5 7.0 6.3 7.9 9.0 8.2 8.7 7.8 9.7 7.4 7.7 9.7 7.8 7.7 11.6 11.2 11.8 10.7 What appears to be the typical value (center) of the data set? MPa What is the extent of the spread around the typical value? O All of the data values are around the typical value in which the value of the range is around 2 - 3. O The data values are spread out in which the value of the range is around 5 - 6. (b) Does the display appear to be reasonably symmetric about a representative value, or would you describe its shape in some other way? O reasonably symmetric O positive skewness O negative skewness (c) Do there appear to be any outlying…2) Assuming that for the height of women, μ = 162.1 cm and σ = 8.8 cm, find the following: a) Pr{Y > 170} b) Pr{Y < 145} c) Pr{165< Y < 179} Refer to problem (2). Give the following percentiles: a) 97.7 b) 50 c) 33 d) 67An ecologist hypothesizes that birds with longer wing spans use wider tree branches. The ecologist captured male birds, measured their wing span and other characteristics in millimeters, and then marked and released them. During the ensuing winter, the ecologist repeatedly observed the marked birds as they foraged for food on tree branches. He noted the branch diameter on each occasion, and calculated the average branch diameter for each bird in centimeters. The measurement data are below. What can the ecologist conclude with an α of 0.05 wing span branch diameter 79.380.180.781.579.580.781.180.580.7 1.561.531.391.041.391.021.211.311.21 A) What is the appropriate statistic? Then Compute the statistic B) Compute the appropriate test statistic(s) for H1: ρ > 0 critical value = test statistic= C) Effect Size
- king linear measuremen c). A man measured a horizontal distance of 105fts between point A and B and recorded twenty times his pacing steps as follows; 39, 39, 40, 39.5, 39.5, 39,39, 40, 40.5, 40.5, 40, 40, 39.5, 40,39,39.5, 39.5, 39.5, 40, and 39. Calculate (i) his average pacing step (ii) his pace (iii) convert his pace from feets to meters, meters to centimeters and millimeters (STATE: How heavy a load (in pounds) is needed to pull apart pieces of Douglas fir 44 inches long and 1.51.5 inches square? Given are data from students doing a laboratory exercise. 33,190 31,860 32,590 26,520 33,280 32,320 33,020 32,030 30,460 32,700 23,040 30,930 32,720 33,650 32,340 24,050 30,170 31,300 28,730 31,920 To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt! We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Engineers also commonly assume that characteristics of materials vary Normally. Suppose that the strength of pieces of wood like these follows a Normal distribution with standard deviation 3000 pounds. PLAN: We will estimate ?μ by giving a 98% confidence interval. SOLVE: Find the sample mean ?¯ . (Enter your answer rounded to the nearest whole number.) ?¯= Give a 98% confidence…Why must the edge of the meter stick, rather than the broader side, be adjacent to the dimension being measured?