A group of 5 tourists were on holidays and recorded how many Kangaroos they seen in one day, the results are given below

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A group of 5 tourists were on
holidays and recorded how many Kangaroos they seen in one day, the
results are given below.
25, 34, 28, 39,
48
a) Is the number of Kangaroos seen
in one day a categorical or
numerical variable. If the variable is numerical, determine
whether the variable is discrete or continuous. In addition,
determine the level of measurement (eg ratio or nominal
scale).
b) Calculate the sample mean of this sample.
c) Calculate the sample standard deviation (correct to
3 decimal places).
d) What must be assumed about the population
distribution in order to calculate a confidence interval?
Give a reason for your answer
e) Using the sample mean and sample
standard deviation (found in b and c) calculate the 95% confidence interval for the population mean (𝜎σ
is unknown) Kangaroos seen in one day. Include a
concluding statement.
f) If one tourist claimed they seen
45 Kangaroos, based on this sample should
you take their statement as true? Why/ why not?