According to a sport & wellness professional, the weight of male individuals aged 30-40 is normally distributed with a mean of 69 kg and a standard deviation of 12 kg. (a) State the variance and how the normal curve will change when the mean increases and the standard deviation decreases. (b) Determine with appropriate calculations if you agree or disagree with the statement that "Less than 5% of the population items lies beyond 2 standard deviations from the population mean." (c) Calculate the amount for the top and bottom kth percentage of the population, where k is 16. Show all the steps required. (d) Calculate the probability that an individual in the population (X) is more than 5 standard deviations bigger than the population mean. Explain if it is possible to find such an individual in the population with reference to your case scenario.
According to a sport & wellness professional, the weight of male individuals aged 30-40 is
(a) State the variance and how the normal curve will change when the mean increases and the standard deviation decreases.
(b) Determine with appropriate calculations if you agree or disagree with the statement that "Less than 5% of the population items lies beyond 2 standard deviations from the population mean."
(c) Calculate the amount for the top and bottom kth percentage of the population, where k is 16. Show all the steps required.
(d) Calculate the probability that an individual in the population (X) is more than 5 standard deviations bigger than the population mean. Explain if it is possible to find such an individual in the population with reference to your case scenario.
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