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- Given that it is normally distributed with a standard deviation of 8.025 cm. Find the range of the diameter that is two standard deviations from themean. Hence, state the proportion of the tubes with the diameters inthis range.The blood pressure in millimeters was measured for a large sample of people. The average pressure is 140 mm, and the SD of the measurements is 20 mm. The histogram looks reasonably like a normal curv Use the normal curve to estimate the following percentages. Choose the answer that is closest to being correct. A 19.1% B 30.9% C 38.2% D 69.1% E 68.27% A The percentage of people with blood pressure between 130 and 150 mm. B The percentage of people with blood pressure between 140 and 150 mm. D The percentage of people with blood pressure over 150 mm.R&D department believes that the C-type batteries with a nominal diameter of 2mm will fit properly into all toys. A tolerance variation of 0.000225mm2 is allowable. A machine produces a batch of 12 C-type batteries and the following diameters in mm is recorded. 26.22 26.19 26.24 26.21 26.16 26.18 26.21 26.20 26.22 26.19 26.20 26.18 i) Construct a 95% confidence interval for the population ii) Does this variation appear acceptable?
- Consider the highest daily snowfall accumulation in Montréal per winter season, measured at the Montréal Airport from 1964/65 to 2014/15. The measurements in cm are as follows: maxsnow ## [1] 15.2 25.4 32.8 14.5 23.6 37.8 43.2 22.9 20.3 21.1 25.7 24.6 25.9 22.5 32.8 ## (16] 19.6 11.0 18.2 10.8 21.3 22.0 13.6 21.8 21.0 21.2 12.2 20.2 17.2 40.0 27.8 ## [31] 13.2 20.8 21.4 23.6 35.8 33.9 31.0 18.8 15.8 18.8 17.2 41.2 35.2 31.8 23.8 ## [46] 29.8 20.4 16.0 45.6 20.8 20.0 (a) Is this data a realization of a random sample? Provide rationale for your answer (you may list pros and cons if you like). (b) Which population quantities (mean, variance, probabilities of certain events) would you like to use these data to estimate and why? (The answers to these questions are subjective).Find the area above 29 for a N(15,5) distributionDetermine upper and lower estimates of how much water leaked from the water line during the hour.
- 7. Calculate the % approximate error relative to the true value of the area of a trapezoidal lot whose longer base is 12 m longer than the shorter base which is 10 m, and height of 20 m. There is no height deviation while each base is deviated 0.05 m below the value of each base. A. -0.5454% B. -0.4545% C. -0.3125% D. -0.2273%List the standard deviations in ascending order.In which measurement is the standard deviation greater?*2000 ±20, *122 ± 2,*188±7Please answer letter c and d.
- Roll the correct die 100 times. Find: a) the average of the dropped points Enter the exact answer. а) M(X)= b) the variance of the amount of dropped points Enter numbers with a dot separator to one decimal place, for example 121.3. b) D(X)= c) the standard deviation of the sum of the dropped out points. Enter numbers with a dot separator to one decimal place, for example 12.3. c) σ (X) =Average speed on a freeway is 80 mph. Among all vehicles 65% drive 8 miles above the speed limit of 70 mph. 34 What fraction drive within ± 5 mph from the mean speed? a 0.7327 b 0.6978 c 0.6646 d 0.6330Estimate the distance traveled in 20 seconds given the following sample velocities using right- endpoint values. Be sure to write the units for your answer. Time (s) 10 15 20 Velocity (m/s) 3 3.4 2.9 2.4 1