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1
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- Measurement is at the core of science. Agreeing on how ideas and
outcomes can be measured and evaluated is crucial to testing hypotheses
with experiments.
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2
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- In addition to the parts of chapter 1 that describe hypothesis testing
and other parts of the scientific method, read appendix A1 and learn the
units of the metric system, if you do not already know them.
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3
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- Observations (not authority of books or human institutions) are the
ultimate source (=authority) of scientific knowledge.
- Causes are inferred when observations can be organized into repeated
patterns. The process of generating cause(s) is called induction.
- A hypothesis is a statement proposing how something works.
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4
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- Scientists believe there is a ‘real world’ accessible in the same way by
all individuals.
- Measurement and counts are something all individuals can agree on. Most
scientific observations involve measurement.
- Instruments are built to improve measurement range and accuracy.
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5
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- A value calculated from a set of multiple measurements is called a statistic.
- Common, simple statistics:
- Mean
- Median
- Variance
- Range (best expressed as a pair of values)
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6
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- Measurement of fundamental attributes: distance, mass, temperature, time.
- Measurement of rates, e.g. change per unit time, or even per time
squared.
- Measurement of complex attributes, such as energy = g∙m2∙sec-2.
- Abundance, counts of individuals, N.
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7
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- Humans have devised many different systems of measurement. Scientists
need a universal and simple system. The metric system was adopted by
scientists.
- The SI (metric) system is based on powers of ten. Prefixes allow one to
write a large range of measurements succinctly.
- http://en.wikipedia.org/wiki/SI_prefix
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8
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- The meter (m) is the basic unit of length and, therefore, area and
volume.
- People are mostly 1.5 to 2.0 m tall.
- Single-cell organisms such as algae and protozoa usually are smaller
than 1 mm (millimeter) and larger than 1 μm (micrometer).
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9
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- Area is measured in squared units of length, l2, volume in
cubed units of length, l3 = l•l•l.
- The ‘hectare’ is the measurement used for large areas such as a farm
field. One hectare is 10,000 or 104 square meters (m2).
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10
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- The basic unit of SI mass is the kilogram, kg.
- Your textbook weighs 3.4 kg.
- Your weight (units of force) would be different on the moon than it is
on earth, but your mass is the same both places.
- The mass of carbon in CO2
in the earth’s atmosphere is 778 Petagrams (=778x1015 g)
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11
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- Liquids ‘fill’ containers so that the air/liquid boundary is level (due
to gravity). This property makes it easy to measure volume of a
container.
- The basic unit of liquid volume is the liter, l. One liter is 1000 cm3.
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12
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- Different compounds can be mixed in a solution. In such situation we
usually measure the concentration of the less abundant component in the
more abundant component.
- Molarity
- Percent
- PPM = parts per million, 1 ppm =0.0001%
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13
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- The year is between 365 and 366 days. Calendars attempt to keep each
day, say 1 May, in the same position about the sun in every year.
- The ‘second’ is the SI unit of time.
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14
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- Temperature is an especially interesting attribute. There is an ‘absolute
zero’.
- The Kelvin (K) scale places zero there, about 273° C below the freezing
point of water.
- We usually use the Celsius scale in which water freezes at 0° and boils
at 100°.
- °C = (°F – 32)*5/9
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15
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- Observations are organized by the mind into patterns. Patterns are
repeatable spatial or temporal organizations.
- The next element of the sequence: 2, 4, 8, 16, ? is 32, as each element
is twice the previous one.
- Using and inferring PATTERN is a basic human attribute not just for
scientists.
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16
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- Sets of hypotheses provide a framework of knowledge which may be called theory
or conventional wisdom. From such frameworks, ideas or hypotheses are
derived (= deduced) using reasoning, logic and inspiration.
- Deduction makes specific predictions using general rules (framework of
knowledge).
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17
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- A hypothesis is a statement about what one believes to be true and that
can be evaluated by new observations.
- A hypothesis (statement) can be useful even when it is replaced by a new
hypothesis in the future (= proved at least not to have been complete).
- e.g., Linnaeus hypothesized that the most fundamental separation of
living organisms was between plants and animals.
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18
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- Experiments devise situations in which ideas or hypotheses may be
evaluated by observations.
- Manipulated conditions, e.g. a new drug being evaluated, are called ‘treatments’.
- A good experiment has a ‘control’ which evaluates the ‘no special
treatment’ outcome.
- The control for a new drug is called a ‘placebo’. A placebo creates the
illusion that a drug is being taken when no drug is in the ‘pill’.
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19
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- Treatments may change the probabilities of outcomes for members of a population.
Both outcomes, cancer & no cancer, occur in the control and other
treatments.
- Statistical analysis of outcomes tell whether or not the probabilities
of specific outcomes differ according to treatments.
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20
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- Express the following values in units of meters using exponential
notation.
- A. 0.012 mm
- B. 567,000 km
- C. 0.00000098 m
- D. 5’ 9”
- Convert 50° F to Celsius.
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21
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- Celsius scale
- Control
- Conventional wisdom
- Experimental design
- Hypothesis
- Observation
- Mean
- Median
- Measurement
- Treatment (group)
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