Unit 1. Experimental Design Name _______________________ Period________________ Activity 4. Catalase Activity Case Study Key Idea: A simple experiment to test a hypothesis involves manipulating (changing the value or setting) of one variable (the independent variable) and recording the response (the dependent variable or result). Investigation: Catalase is an enzyme that converts hydrogen peroxide (H2O2) to oxygen and water. An experiment investigated the effect of temperature on the rate of the catalase reaction. Procedure: 1. Test tubes (10 ml) were used in the experiment. Each tube contained 0.5 ml of dilute catalase enzyme and 4 ml of H2O2. Reaction rates were measured at four temperatures (10oC, 20oC, 30oC, 60oC). For each temperature, there were two reaction tubes (e.g. tubes 1 and 2 were both kept at 10oC). One minute after the reaction, the height of the oxygen bubbles produced was measured and used as an indicator of the reaction rate. More bubbles after one minute indicates a faster reaction rate. 2. The entire experiment was repeated two more times (each on a separate day). QUESTIONS 1. What is the purpose of THIS experiment (no, the answer is not “the key idea” listed above). The purpose should talk about the effect of the independent variable (the variable you are manipulating or changing) on the dependent variable (what are you measuring). 2. Given your purpose, what is a possible hypothesis for this experiment? (How do you think the independent variable will affect the dependent variable? 3. Name the independent variable in this experiment ___________________________ a. What is the range of values for the independent variable? ___________________ b. What are the units of the independent variable? c. What is the control used in this experiment? What is the purpose of the control? 4. Name the dependent variable in the experiment and the units:___________________________ 1 Unit 1. Experimental Design Name _______________________ Period________________ 5. Looking at the description of what is involved in the experiment, list 4 or 5 pieces of laboratory equipment that you would need to set up this experiment and describe how it was used. Equipment What was it used to do? 1. 2. 3. 4. 5. The results of this experiment are shown below: Five of the ten tubes are shown in the picture to the left. Think about the information you need to record. You want a single table that includes the following information: a. b. c. d. e. The setting and units for the independent variable The measure and units for the dependent variable Repeated measures within a single experiment Averages, differences, or other calculated values Repeats of the experiment (Trial 1, Trial 2, Trial 3, etc.) 2 Unit 1. Experimental Design Name _______________________ Period________________ Activity 5. Recording Results Recording your results clearly and accurately is a very important in an experiment. Analyzing and understanding your data is easier when you have recorded your results accurately and in an organized way. This organization requires pre-planning. Understanding the design of your experiment and what data you need to record means that you can design a table that is easy for you and others to understand. Not only are there rows and columns for your measurements or observations (raw data), there are also rows or columns for summary (calculated or “transformed” values. Let’s look at a table that was created to collect and summarize data from an experiment whose set up is similar to our catalase experiment. This is an investigation looking at the growth of plants at three pH levels. Dependent variable and its units. Trials are repeated experiments Space for 2 plants at each pH The range of values for the independent variable are in this column pH 3 pH 5 pH 7 Plant # 1 2 Mean 3 4 Mean 5 6 Mean Trial 1 – mass (g) Days of growth 0 5 10 0.5 1.4 0.6 1.4 0.55 1.4 0.6 2.4 0.8 2.6 0.7 2.5 0.7 2.3 0.6 2.1 0.65 2.2 Trial 2 (mass in g) Days of growth 0 5 10 Trial 3 (mass in g) Days of growth 0 5 10 Recorded dependent variable Space for calculated (transformed) data- the mean 1. Return to the previous case study (catalase activity) and design a table to hold the data. (Use another sheet of paper). You first must determine the features of your experiment (see below) and it is best to sketch out a rough copy first. Use the table above as a starting point to design your own table. a. Independent and dependent variables b. The levels of the independent variable (in this example the levels are pH 3, 5, and 7) c. Whether or not you are using a control (think about the “job” of the control in your experiment d. The number of observations within each level of the independent variable e. Whether or not you will be calculating values that should be a part of the table f. Whether multiple observations over time (or a starting value) need to be recorded g. How many times you are repeating the whole experiment (trials) 3 Unit 1. Experimental Design Name _______________________ Period________________ MORE PRACTICE: Case study 2. Carbon dioxide levels in a respiration chamber. A data logger was used to monitor the concentrations of carbon dioxide (CO2) in respiration chambers containing five green leaves from one plant species. The entire study was performed in conditions of full light and involved three identical set-ups. The CO2 concentrations were measured every minute, over a period of ten minutes, using a CO2 sensor. A mean CO2 concentration (for the three set-ups) was calculated. The study was carried out two more times, two days apart. What are your dependent ___________________ and independent variables? ___________________ What is the range of values for the independent variable and how many different values are you measuring? Is there a control? _________ If not, what would you use as a control? How many observations (measures) will you make (record) for each of the respiration chambers? How many respiration chambers are present? Do these chambers represent replication within an experiment or a different experiment? Explain why. How many times are you repeating the experiment? Use the back of the page to sketch out an appropriate graph. 4 Unit 1. Experimental Design Name _______________________ Period________________ 5 Unit 1. Experimental Design Name _______________________ Period________________ Activity 6. Transforming the Data (Calculations and Summarizations) Key Idea: Unprocessed data is called raw data. A set of data is often processed or transformed to make it easier to understand and to identify trends or patterns in the data. Percentages, rates, frequencies, and counts are commonly used transformations. Raw data collected when observing or when doing a controlled experiment often needs to be processed or transformed into a form that makes it easier to identify patterns or trends in the data. Transformations include totals, tally charts, means, medians percentages and rates. Examples of each of these transformations is shown below Tally sheet Records the number of times a value occurs in a dataset. Example: Height of 6 day old seedlings Height range Tally Total < 1 cm ||| 3 1 - 1.99 cm |||| 5 2 – 2.99 cm |||| ||| 8 3 – 3.99 cm |||| |||| |||| 15 4 – 4.99 cm |||| 4 5 – 5.99 cm || 2 Total your tally for each range. Your total is the count of plants that fall into each of your height categories. This type of chart can also be called a frequency chart. If we graph this data, the count within each height range would be your dependent variable, while the height ranges would be your X or independent variable Frequency of seedling heights at 6 days 20 Count 15 10 5 0 1 < 0.99 2 1-1.99 3 2- 2.99 4 3-3.99 5 4-4.99 6 5-5.99 Height in cm 6 Unit 1. Experimental Design Name _______________________ Percentages Period________________ Expressed as a fraction of 100. They express what proportion of data fall into any one category Men Body mass (kg) Lean body mass (kg) Athlete Lean male (nonathlete Normal weight male (nonathlete) Overweight male Obese male 70 68 60 56 % lean body mass (C3/C2)* 100 85.7% 82.3% 83 65 78.3% 96 125 62 65 64.6% 52.0% In this example, you would need to use a bar graph to compare differences in lean body mass. It is important to use percentages, and not the raw data because each individual has a different body mass, and the lean must be reported as a fraction of the “whole” for each person in the study In other instances (such as the percentage of each type of bird that feeds in my backyard), you have category percentages that would sum to 100%. In this case, pie charts can be used to represent your data. Rates Expressed as a measure per unit time Rates show how a variable changes over a standard time period. Notice how the rate changes depending on the time period). Rates allow you to compare data that may have been recorded over different time periods. Rate of sweat loss during cycling Time (minutes) 0 10 20 30 60 Cumulative sweat loss (ml) 0 50 130 220 560 Rate of sweat loss (ml/min) 0 5 8 9 11.3 Questions: Differentiate between raw data and transformed data. Provide at least two reasons to transform or process raw data. 7 Unit 1. Experimental Design Name _______________________ Period________________ Data Transformation Practice Problems Problem 1. Clover is an amazing plant. It is a high quality component of livestock feed (and if you eat meat, you should care about this) because it is a legume. It fixes nitrogen, which can, in turn, be used by animals to grow and produce muscle. It can also put nitrogen back into the soil (while it’s alive) which makes it a renewable “living” mulch. It is often planted between rows of irrigated vegetables, fruit bushes or trees. Because white clover has “tough stems” and a shallow root system it holds up well to being trampled and mowed (which is what happens in areas that heavily grazed). Red clover is not as tolerant of heavy traffic, and grows better in pastures that are not frequently grazed or in wildlife areas. This experimenter went to two different regions to assess the ratio of red to white clover in each area. One area was frost-free, while the other area was frost prone. The data are shown below. Clover type Frost free area Frost prone area Number % Number Red 124 78 26 White 35 Total 159 Show examples of work here: % 115 1. Complete the calculations for the table above. All boxes should be filled in. You must show examples of work for your calculations in the box above. An example is shown below. All answers should have units. Example: 124 Red÷ 159 total clover plants (Red and White) = 0.78 x 100 = 78% 2. Based on the data gathered, what do you conclude? Given what you have been told in the introductory paragraph, what factors may not be constant or controlled in the two areas? 8 Unit 1. Experimental Design Name _______________________ Period________________ Transpiration is the evaporation of water from the leaves of plants. Water is lost from the leaf through special pores called stomata. Stomata are found on both surfaces of the leaf but there are usually more on the ventral (lower surface) of the leaf. This is to reduce the amount of transpiration that will occur because the top of the leaf is exposed to more sunlight than the bottom. The diagram below shows a potometer. A potometer measures the rate of transpiration by measuring the movement of water into a plant. Show examples of work here: Plant water loss using a bubble potometer Time (min) 0 5 10 15 20 Water displacement in capillary tube (cm3) 9.0 8.0 7.2 6.2 4.9 Plant water loss Cm3/min -0.2 1. Complete the calculations for the table above. All boxes should be filled in. You must show examples of work for your calculations in the box above. An example is shown below. All answers should have units. Example: 9.0 – 8.0 = 1 cm3. 1cm3 ÷5 min = 0.2 cm3/min 2. In our previous example with rates (sweat lost) we saw that the rate of loss increased over time. Do you see the same trend for the transpiration data above? Can you provide a possible reason? (think about activity levels of each organism). 9 Unit 1. Experimental Design Name _______________________ Period________________ 10
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