Biology HL
Investigation Rate Models and Uncertainty
- 1.
For written investigation preparation, hypothetical oxygen volumes at 0, 20, 40 and 60 s are 0.0, 4.0, 6.0 and 7.0 cm^3. Calculate the mean rate over the first 20 s and over all 60 s. Explain why these differ and why neither automatically equals the true instantaneous rate at time zero.
[4 marks]Worked explanation
- Calculate change in volume divided by elapsed time for each stated interval.
- Compare successive 20-s increments of 4.0, 2.0 and 1.0 cm^3 before proposing any cause; the data alone do not identify why the rate declines.
- Do not label a 20-second average an exact time-zero derivative or claim a mechanism from the curve alone.
Common mistake: A final volume is not a rate; it must be divided by a stated time interval with units retained.
Marking points
- First-20-s mean = 4.0/20 = 0.20 cm^3 s^-1.
- Overall mean = 7.0/60 = 0.117 cm^3 s^-1 approximately.
- Smaller successive volume increments show rate declines over the measured period, so the longer average is lower.
- Both are finite-interval averages; more frequent early readings/a fitted early tangent with uncertainty would better estimate the initial instantaneous rate.
Examiner tip: A final volume is not a rate; it must be divided by a stated time interval with units retained.
- 2.
A hypothetical enzyme investigation runs all low-pH trials on Monday with batch A and all high-pH trials on Friday with batch B. Five readings come from the same reaction vessel in each treatment. Identify the confounding and pseudoreplication risks and propose a design that addresses both.
[4 marks] · no calculatorWorked explanation
- A perfect association of day/batch with treatment prevents separating their effects.
- Repeated readings describe one reaction's trajectory rather than replicate treatment responses.
- Cross treatment with batch/day and randomize order while adding independent vessels; this targets the two separate design flaws.
Common mistake: Calling each time point a replicate inflates the sample size and does not fix a batch-treatment confound.
Marking points
- pH is confounded with enzyme batch and day, so a difference cannot uniquely be attributed to pH.
- Five readings from one vessel are repeated measures, not five independent reaction replicates.
- Run pH treatments within each batch/day block in randomized order with matched temperature and reagent concentrations.
- Use independently prepared reaction vessels for biological/experimental replication and retain repeated readings as nested time-series measurements.
Examiner tip: Calling each time point a replicate inflates the sample size and does not fix a batch-treatment confound.
- 3.
In a hypothetical investigation, treatment A has mean rate 1.8 with sample standard deviation 0.4 units (n=4 independent vessels), and B has mean 2.1 with standard deviation 0.5 units (n=4). Evaluate the claim that overlapping standard-deviation bars prove no treatment effect. Suggest two next steps that improve the evidence without guaranteeing a preferred result.
[4 marks] · no calculatorWorked explanation
- Separate observed mean difference, within-group spread and uncertainty about the true treatment difference.
- The bar type matters: standard deviations are not interchangeable with confidence intervals or a hypothesis test.
- Plan better replication and a suitable analysis before deciding what the result must be; do not remove inconvenient observations without justification.
Common mistake: Overlap of standard-deviation bars neither proves no effect nor automatically establishes statistical significance.
Marking points
- B's sample mean is 0.3 units higher, a descriptive difference rather than proof of a population effect.
- Standard deviation describes sample spread; overlap alone is not a valid significance test and does not prove equality.
- Increase well-controlled independent replication and report raw data/uncertainties to assess variation and anomalies.
- Use an appropriate justified inferential analysis with its assumptions and/or estimate an effect with uncertainty; report the outcome even if inconclusive.
Examiner tip: Overlap of standard-deviation bars neither proves no effect nor automatically establishes statistical significance.
- 4.
For written HL investigation preparation, two hypothetical enzyme preparations are measured at matched substrate concentration, pH and temperature. A produces 0.60 micromol product min^-1 using 0.20 mg total preparation protein; B produces 0.90 micromol min^-1 using 0.50 mg. Assume rates are measured in a range proportional to enzyme amount. Calculate activity per mg total protein and the percentage difference of B relative to A on this basis. Explain why the raw rate and normalised rate rank differently, and why neither alone establishes a difference in intrinsic catalytic activity of the enzyme molecules.
[5 marks]Syllabus placement evidence: Biology subject brief, first assessment 2025, p.3 Enzymes and metabolism; p.4 Tools/Mathematics and Inquiry process, Concluding and evaluating. Applies explicitly supplied proportionality to enzyme-rate normalisation and an evidence limit. HL investigation preparation requires no unsupplied turnover-number formula and does not establish real enzyme purity, molecular causation or a completed IA.
Worked explanation
- Divide each observed rate by its own protein mass, retaining the denominator's meaning: total preparation protein is not necessarily purified active enzyme.
- Compare normalised B with A using A as the percentage baseline. The result answers an operational preparation-efficiency question; a molecular turnover comparison would require a justified active-enzyme amount and comparable assay conditions.
Common mistake: Total protein mass is not automatically the mass of active enzyme, so a lower activity per mg preparation does not prove slower individual enzyme molecules.
Marking points
- A activity=0.60/0.20=3.0 micromol min^-1 mg^-1 total protein.
- B activity=0.90/0.50=1.8 micromol min^-1 mg^-1 total protein.
- B is (1.8-3.0)/3.0 x100=-40%, or 40% lower on this basis.
- B's higher raw rate uses more total protein; normalisation changes the comparison to equal preparation-protein mass.
- Different purity or active-enzyme fraction can explain the difference; enzyme amount/purity and rate uncertainty need assessment before inferring intrinsic molecular activity.
Examiner tip: Total protein mass is not automatically the mass of active enzyme, so a lower activity per mg preparation does not prove slower individual enzyme molecules.
- 5.
A hypothetical written enzyme investigation reports A=2.00 rate units at 20 degrees C and B=3.00 at 25 degrees C. For a sensitivity exercise only, assume both preparations obey the supplied exponential temperature model r(T)=r(20)*Q10^((T-20)/10), with Q10=2 and no other temperature effects across this range. Convert B to a model-equivalent rate at 20 degrees C and compare it with A as a percentage. Repeat the comparison using Q10=1.5. Explain what these calculations imply for a claim that B has a temperature-independent advantage, and propose a stronger comparison.
[5 marks]Syllabus placement evidence: Biology subject brief, first assessment 2025, p.4 Tools/Mathematics; Inquiry process, Exploring and designing / Concluding and evaluating. A supplied Q10 rule is used as a bounded model-sensitivity application, not required recall or a universal biological law. HL written investigation preparation only; actual controlled trials, significance and assessed scientific-investigation completion remain unclaimed.
Worked explanation
- Five degrees is half a ten-degree interval, so the assumed factor is sqrt(Q10), not Q10/2. Divide the warmer rate by that factor to express a conditional cooler equivalent.
- The same raw 50% difference becomes about 6.07% or 22.47% under two assumed multipliers. This is model sensitivity, not an experimentally established correction; matched-temperature measurements target the confounding directly.
Common mistake: An assumed Q10 is not a measured universal enzyme constant, and a positive adjusted difference is not proof of statistical significance.
Marking points
- At Q10=2, B_20=3.00/(2^0.5)=2.12132... rate units.
- Relative to A, this is approximately 6.07% higher.
- At Q10=1.5, B_20=3.00/sqrt(1.5)=2.44949..., approximately 22.47% higher than A.
- The adjusted difference depends on an unverified temperature-response assumption; neither scenario establishes an intrinsic advantage or statistical significance without variability data.
- Plan replicated A and B measurements at the same controlled temperature, ideally across a shared temperature series to test rather than assume their response.
Examiner tip: An assumed Q10 is not a measured universal enzyme constant, and a positive adjusted difference is not proof of statistical significance.