ISE 261 HOMEWORK -1

ISE 261 HOMEWORK ONE Due Date: 1/23/2024 1. The following data represent the length of life in years, measured to the nearest tenth, of 40 similar fuel pumps: 2.0 3.0 0.3 3.3 1.3 0.4 1.5 4.0 5.9 1.8 4.7 0.7 1.0 6.0 0.2 6.0 5.5 6.5 0.2 2.3 4.5 0.3 1.5 0.5 2.5 5.0 5.6 6.0 1.2 0.2 0.8 6.6 6.8 1.9 2.7 6.9 6.8 2.4 4.6 5.7 Construct a stem-and-leaf plot for the life in years of the fuel pump using the digit to the left of the decimal point as the stem for each observation. 2. Compute the sample mean, sample range, and sample standard deviation for the fuel pump data in problem #1 . 3. In a certain company, every worker receives a 7% increase in pay. How does this affect the mean salary of this company? The standard deviation of the company salaries? 4. An article in the Journal of Transportation Engineering lists the following values of fracture stress (in mega-pascals) measured for a sample of 23 mixtures of hot-mixed asphalt (HMA). 30 75 79 80 80 105 126 138 149 179 179 191 223 232 232 236 240 242 245 252 254 275 321 Compute the mean, median, and the 5% and 10% trimmed means. 5. Coal-fired power plants used in the electrical industry have gained public attention because of the environmental problems associated with solid wastes generated by large- scale combustion. A study was conducted to measure the EC50 (Effective Concentration, in mg/L, that decreases 50% of the light in a luminescence bioassay) at four different locations. The experimental data found: Largest value = 60,060 Smallest value = 60,000