HW3 STATS

1. Some chemical reaction is being run inside a sealed gas cylinder. During the reaction, a gaseous product is formed. The pressure P exerted by the gas has been measured five times. A gauge calibrated in units of psig was used. Data from the measurements are provided below: Table 1. Pressure measurements of the oxygen generated by chemical reaction inside a gas cylinder. P (psig) 21.0 Run # 1 2 3 4 5 20.2 20.7 21.3 20.5 a. Estimate the Type A uncertainty in these measurements. Be sure to include the units. b. Estimate the Type B uncertainty associated with these measurements. Be sure to include units. C. Determine the uncertainty in the measurement of pressure in the cylinder. Be sure to include units. State your ar we as average +/- uncertainty.

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Can balloons hold more air or more water before bursting? A student purchased a large bag of 12-inch balloons. He randomly selected 10 balloons from the bag and then randomly assigned half of them to be filled with air until bursting and the other half to be filled with water until bursting. He used devices to measure the amount of air and water was dispensed until the balloons burst. Here are the data

1. Can balloons hold more air or more water before bursting? A student purchased a large bag of 12-inch balloons. He randomly selected 10 balloons from the bag and then randomly assigned half of them to be filled with air until bursting and the other half to be filled with water until bursting. He used devices to measure the amount of air and water was dispensed until the balloons burst. Here's the data: Air (ft') Water (ft) 0.52 0.44 0.58 0.41 0.50 0.55 0.46 0.61 0.38 0.45 Does the data give convincing evidence air filled balloons can attain a greater volume than water filled balloons?

An engineer who accidentally inhaled poisonous fumes was given treatment for it. The concentration of poison in the engineer's blood was measured every hour. The table below shows the record: Hours Since Inhal ati on 1 5 Concentration 38.1 31.2 28.6 26.9 25.4 ug/ cm) The data in the table can be modelled by h = a +b lIn C, where h is the number of hours since the accident and C is the concentration of poison in the blood. If the engineer is allowed to return to work when the concentration of poison falls below 0.2, how many days must they wait to return to work? (Round your answer UP to the nearest day). Answer: 3. 2.

Background: Henry Cavendish carried out a series of experiments in 1798 to determine the mean density of the earth, as an indirect means to calculate the gravitational constant. A measurement of 5.5 indicates the earth's density is 5.5 times that of water. 1.Perform the significance test. A.H0: μ=5.513Ha: μ>5.513 B.H0: μ=5.513Ha: μ<5.513 C.H0: μ=5.513Ha: μ≠5.513 D. H0: μ≠5.513Ha: μ=5.513 2.Compute the test statistic. Round your answer to 4 decimal places. 3.Compute the p-value. Round your answer to 4 decimal places.

ACTIVITY 3: PRECISION AND ACCURACY Objectives: 1. Analyze sets of data and decide whether the measurements are precise and/or accurate. 2. Calculate percent error. The following sets of measurement for the density of a small cylinder of aluminum were given. The 'accepted' density of aluminium is 2.702 g/cm3. SET A SET B 2. 240 g/cm³ 2.700 g/cm³ 2. 690 g/cm³ 2.705 g/cm3 2. 450 g/cm³ 2.703 g/cm³ 2. 150 g/cm³ 2.701 g/cm³ 1. Calculate the average value for each set of density. 2. Calculate the % error for each set of values. 3. Compare the average value for each set with the accepted value: Which student's data is more accurate? Which student's data is more precise? 4. Compare the percentage error for each set: Which student's data is more accurate? Which student's data is more precise?

Low=? High=?

2. The data table below shows the instantaneous velocity of a car every 5 minutes. Use simpson's rule to determine the displacement of the car in the first 30 minutes. What is the average speed of the car for the entire 30 minutes? Time (min) Velocity (m/s) 25 5 28 10 32 15 30 20 29 25 26 30 23

A tank is leaking at an increasing rate as indicated by the data below. Use the table to answer the following questions. Time (hr) Leakage (gal/hr) 1 2 4 6. 7 8 30 50 150 240 300 410 550 650 720 ..... An upper limit estimate for the amount of material leaked after 4 hours is gal. (Simplify your answer.)