(a) determine the null and alternative hypotheses, (b) explain what it would mean to make a Type I error, and (c) explain what i
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Answer:
a) (
), b)
(
), c)
, d)
, e)
(
), f)
(
), g)
(
)
Step-by-step explanation:
All radioactive isotopes decay exponentially, the mass of the isotope as a function of time (), measured in grams, is defined by:
(1)
Where:
- Initial mass of the isotope, measured in grams.
- Decay rate, measured in
or
or
.
- Time, measured in minutes, days or years.
We define the decay rate in terms of half-life by using the following expression:
(2)
Where is the half-life of the isotope, measured in minutes or years.
Now we proceed to determine the missing values:
a) Polonium-200 ()
b) Lead-194 ()
c) Iodine-125 ()
d) Kryption-75 ()
e) Strontium-79 ()
f) Uranium-229 ()
g) Plutonium-239 ()