[Solved] (a) These are the ages of participants of a quantitative course. Compute the mean median, and alter-quartile range. (b) Following is information
Question: (a) These are the ages of participants of a quantitative course.
Compute the mean median, and alter-quartile range.
(b) Following is information on a sample of participants' presented by age and gender summarized as a frequency distribution table
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For e ach of the genders (male and female) estimate the mean and standard deviation (ii) Why are the calculations (eg mean) called "estimates" in (i)?
(iii) Do the male and female datasets follow the Empirical Rule?
(iv) On the basis of these results do you think that there is a difference in the age distribution of males vs females? Explain your answer. (Hint: Coefficient of Variation)
(v) The Programme Director, Karen Joseph, has stated in a press conference that the average age of female participants is above 35 years old. Using the mean and standard deviation and that you calculate in (i) and using the 0.5 level of significance, is there evidence that the population mean is above 35 years? (Hint: Hypothesis Testing)
(c) Identify three (3) methods of graphically representing frequency distributions.
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