Nine hundred (900) teenage boys and 1500 teenage girls were randomly selected for a STEPS survey in Trinidad and Tobago in 2017. STEPS surveys are regularly carried out in Trinidad and Tobago to identify the major risk factors that determine the major diseases burden among teenagers. The mean BMI among the boys sample is 21.85, while the mean BMI among the sample of girls is 22.39. The corresponding sample standard deviations for the two groups of teenagers are 5.90 and 6.39, respectively. State the estimator you would use to estimate the difference in the mean BMI between boys and girls and define the probability distribution of this estimator.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Nine hundred (900) teenage boys and 1500 teenage girls were randomly selected for a STEPS survey in Trinidad and Tobago in 2017. STEPS surveys are regularly carried out in Trinidad and Tobago to identify the major risk factors that determine the major diseases burden among teenagers. The
State the estimator you would use to estimate the difference in the mean BMI between boys and girls and define the probability distribution of this estimator.
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