Which transformation is not isometric?
2 answers:
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Answer:
a
b
Here the probability of koalas mean temperature being less than 35 °C is very small hence the koalas are not healthy
c
A potential confounding variable for this study is the population of the koalas because in the first question the population was not taken into account and the probability was but when the population was taken into account (i.e n = 30) the probability became
Step-by-step explanation:
From the question we are told that
The mean is
The standard deviation is
The sample size is n = 30
Generally the probability that a health koala has a body temperature less than 35.0°C is mathematically represented as
Here
So
From the z-table P(Z < -0.46) = 0.323
So
Converting to percentage
considering question b
The sample mean is
Generally the standard error of the mean is mathematically represented as
=>
=>
Generally the probability of the mean body temperature of koalas being less than 35.0°C is mathematically represented as
From the z-table we have that
So
Here the probability of koalas mean temperature being less than 35 °C is very small hence the koalas are not healthy
A potential confounding variable for this study is the population of the koalas because in the first question the population was not taken into account and the probability was but when the population was taken into account (i.e n = 30) the probability became