A firm is investigating the formulation of synthetic fibres used to make cloth. The results from tensile testing the cloth with different fibre densities are shown in Table 4(a). Fibre Density Observations Percentage 1 3 4 5 Sum Averages 2.
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- Research was conducted on the amount of oxygen runners could utilize during training, known as their VO2 max, and their finishing times for a 5K race to see if there was a significant relationship between these variables. The results for 8 runners were compiled and placed in the following table. VO2 Max (ml/kg/min) (x) 5K Finishing Time (min) (y) 16.28 34.66 20.55 37.41 18.62 34.11 15.78 37.36 18.12 37.56 39.49 23.7 26.88 28.72 43.39 20.69 Calculate the correlation coefficient. Round to three decimals. Find the equation of the regression line. Round each value to two decimals Preview Predict the time in the 5K for a runner whose VO, max is 30.12 ml/kg/min. Round your answer to two decimals Get Help: VIDEOThe toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (oC)(oC) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Percent heat loss from beak 33 32 33 32 39 43 56 48 44 49 44 56 58 60 60 63 The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: (Use decimal notation. Enter the values of the intercept and slope rounded to two…Researchers were interested in assessing whether stress levels are different at the beginning of the semester compared to finals week. To test this, stress was measured in 5 students at the start of the semester and then again at the end of the semester during finals week. Participant Stress 1 Stress 2 1 22 22 2 32 34 3 24 25 4 28 30 5 26 29 Then H0: μ2 - μ1 ≠ 0, true or false?
- No tortilla chip aficionado likes soggy chips, so it is important to find characteristics of the production process that produce chips with an appealing texture. The following data on x = frying time (sec) and y = moisture content (%) appeared in an article. x 5 10 15 20 25 30 45 60 y 16.4 9.7 8.1 4.2 3.3 2.8 2.0 1.2 (a) Construct a scatter plot of y versus x. y 15 10- 5 y 15 O 10 10 20 30 40 50 5 10 20 10 NE X 50 60 30 60 40 X 15 y 10 O 5 O y 15 10 20 30 40 50 60 10 20 30 Comment. The plot has a curved pattern. A linear model would not be appropriate. O The plot has a curved pattern. A linear model would be appropriate. O The plot does not have a curved pattern. A linear model would be appropriate. O The plot does not have a curved pattern. A linear model would not be appropriate. 40 50 60 X XInterpret effect size t(30)=1.12, p=.34, n2=.001 small, medium, or largeTotal plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 45 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that o = 7.60 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) n is large the distribution of weights is normal o is known the distribution of weights is uniform o is unknown (c) Interpret your results in the context of this problem. The probability that this interval contains the true average…
- A granular soil has an angle of friction with a mean value of 40° and a coefficient of variation of 2.5%. Determine the corresponding mean and standard deviations values for the bearing capacity coefficient, N..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)4. Draw graphs of the % change in moment of inertia against the change in dimension on the X-X axis and Y-Y axis Discuss and compare your results from the two samples. Section / Bar h = 25mm W = 12mm 7 bh² Section 2 (Pipe) Thiz hness= Diameter = 36" उसने 4x=54² 25m 12mm -36mm
- 10. An engineering study was undertaken to determine the optimum thickness of aluminum to be used to construct cans to be used for cat food. Cans made of aluminum of thickness 2.10 mm and 1.90 mm were tested to determine the maximum load each would sustain before collapsing. The sample data is summarized below. Use a = 0.05 to test the claim that the thicker cans are stronger (will withstand a higher load). 2.10 mm thick 1.90 mm thick sample size 175 170 mean maximum load (kg) 28.18 26.71 standard deviation of maximum load (kg) | 2.78 2.21I need help with this please, thanks.(a) A research has been conducted an experiment to compare the deflection (um) between two types of material for cutting tool in milling machining process. About 30 samples of cutting tool for material A and 30 of cutting tool for material B has been used for during the test. Table 2(a) shows several descriptive statistics represent the data of tensile strength. 2 Table 2 (a) Descriptive statistics for deflection (um) Material Number Minimum Q1 median Q3 Маximum of value value specimen A 30 0.462 3.453 6.415 8.548 13.599 В 30 0.2 2.037 4.157 7.716 15.491 (i) Plot a box plot based on recorded data given in Table 2(a) (ii) Based on the box plot, which material of cutting tool is have better performance?State your reason (ii1) Suppose that material A produce deflection of 4.4 µum. The data is wrongly recorded as 44 um. What you can interpret about the box plot? (iv) Calculate the value of IQR for both materials