mple of female skeletons. [The data was provided by Dr. Ayers-Darling, former professor at MVCC.] humerus (cm) height (in.) 32.6 66 28.0 60 29.9 62 30.5 63 31.2 64 29.9 62 29.1 61 29.5 62 29.8 62 28.5 61

Please answer all 4

STATE: How heavy a load (in pounds) is needed to pull apart pieces of Douglas fir 44 inches long and 1.5 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   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 95% confidence interval. SOLVE: Find the sample mean x¯ . (Enter your answer rounded to the nearest whole number.) x¯=     Give a 95% confidence interval, [low, high] , for the mean load required to pull the wood apart. (Enter your answers rounded to the nearest whole number.) low=…

An article gave the data, shown in the table below, on dimensions of 27 representative food products. Product Material Height MaximumWidth MinimumWidth Elongation Volume 1 glass 7.7 2.50 1.80 1.50 121 2 glass 6.2 2.90 2.70 1.07 139 3 glass 8.5 2.15 2.00 1.98 178 4 glass 10.4 2.90 2.60 1.79 288 5 plastic 8.0 3.20 3.15 1.25 328 6 glass 8.7 2.00 1.80 2.17 94 7 glass 10.2 1.60 1.50 3.19 115 8 plastic 10.5 4.80 3.80 1.09 517 9 plastic 3.4 5.90 5.00 0.29 332 10 plastic 6.9 5.80 4.75 0.59 567 11 tin 10.9 2.90 2.80 1.88 340 12 plastic 9.7 2.45 2.10 1.98 177 13 glass 10.1 2.60 2.20 1.94 236 14 glass 13.0 2.60 2.60 2.50 237 15 glass 13.0 2.70 2.60 2.41 358 16 glass 11.0 3.10 2.90 1.77 314 17 cardboard 8.7 5.10 5.10 0.85 635 18 cardboard 17.1 10.20 10.20 0.84 1250 19 glass 16.5 3.50 3.50 2.36 651 20 glass 16.5 2.70 1.20 3.06 300 21 glass 9.7 3.00 1.70 1.62 312 22 glass 17.8 2.70 1.75 3.30 303 23 glass 14.0 2.50 1.70 2.80 247 24 glass 13.6 2.40…

Question 8 The following data set contains the number of minutes spent by each of 20 students in the class to write the assignment. 42 48 59 61 62 62 64 65 66 68 68 70 71 71 72 72 78 79 84 88 a. Find the median, the first and the third quartiles, and the interquartile range. b. Find the left outer fence, left inner fence, right inner fence, and right outer fence. c. Find the length of left whisker and the length of right whisker in the box – whisker plot. d. List all outliers (if any) in the last row. If there are no outliers state “none”.List all extreme values (if any) in the last row. If there are no extreme values state “none”. Show work for the calculations for Part B and Part C.

The densities of several common metals are shown in the following table. Metal Density (g/cm³) iron 7.87 silver 10.49 lead 11.36 zinc 7.13 aluminum 2.70 For her chemistry lab, Kamila needs to identify three metal samples by density. The data she collected is shown in the following table. The metal samples are all rectangular prisms.

Consider the following data set. Draw a dotplot for the given data set. 03 n = 10 measurements: 8, 5, 6, 9, 4, 5, 7, 8, 4, 6 03 . 4 + 4 USE SALT 5 5 6 · 6 7 7 . 8 : 8 9 ↑ 9 10 10 Ⓒ 4 . 5 6 . 7 . 8 9 Are the data mound-shaped? Can you use Tchebysheff's Theorem to describe the data? The Empirical Rule? Explain. O The data set is not mound-shaped. Hence we can use Empirical Rule, but not the Tchebysheff's Theorem to describe the data. O The data set is relatively mound-shaped. Hence we can use Tchebysheff's Theorem, but not the Empirical Rule to describe the data. O The data set is relatively mound-shaped. Hence we can use Empirical Rule, but not the Tchebysheff's Theorem to describe the data. O The data set is relatively mound-shaped. Hence you can use both Tchebysheff's Theorem and the Empirical Rule to describe the data. O The data set is not mound-shaped. Hence we can use Tchebysheff's Theorem, but not the Empirical Rule to describe the data. 10 Q 03 4 5 6 7 9 10

The ratio of the lengths of the second and the fourth fingers, denoted 2D:4D, is an indicator of the level of prenatal testosterone. It is known that higher prenatal testosterone levels are associated with a lower 2D:4D value. Since testosterone levels are known to be related to behavioural traits, it has been conjectured that certain types of aggressive and dominant behaviours may be associated with lower 2D:4D values. van der Meij et al. (2012) conducted a study that investigated the possible relationship between 2D:4D and so-called "sociable" and "aggressive" dominance. For the study, 84 male students completed two questionnaires, measuring sociable and aggressive dominance respectively, on which high scores related to increased aggression. After some adjustments, a score between 1 and 6 was recorded for each subject on each questionnaire. The participants' hands were scanned and measurements taken, on which a 2D:4D measure could be recorded per subject by averaging the ratio for…

Here are some data on the petal lengths of irises in cm. This is actually part of one of the built-in data sets in R (there are many data sets built into R): 6.0 5.1 5.9 5.6 5.8 6.6 4.5 6.3 5.8 6.1 5.1 5.3 5.5 5.0 5.1 5.3 5.5 6.7 6.9 5.0 5.7 4.9 6.7 4.9 5.7 6.0 4.8 4.9 5.6 5.8 6.1 6.4 5.6 5.1 5.6 6.1 5.6 5.5 4.8 5.4 5.6 5.1 5.1 5.9 5.7 5.2 5.0 5.2 5.4 5.1 a) Make a stem and leaf plot of these data (do not use R).   b) Make a histogram of these data (do not use R).

Pulling Apart Wood. How heavy a load (in pounds) is 4step needed to pull apart pieces of Douglas fir 4 inches long and 1.5 inches square? Here 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 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. Is there statistically significant evidence at thea = 0.10 level against the hypothesis that the meanis 32,500 pounds for the two-sided alternative? Is there statistically significant evidence at thea = 0.10 level against the hypothesis that the meanis 31,500 pounds for the two-sided alternative?