Mr. Karim is the owner of Philips home appliance. Recently Mr. Karim observed a difference in the taka amount of sales between the men and women he employed as sales associates. A sample of 40 days revealed the men sold a mean of Tk.1400 worth of appliance per day. For a sample of 50 days, the women sold a mean of Tk1500 worth of appliance per day. Assume the population standard deviation for men is Tk200 and for women Tk250. At the 0.05 significance level, can Mr. Karim conclude that the mean amount sold per day is larger for the women?
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!
Mr. Karim is the owner of Philips home appliance. Recently Mr. Karim observed a difference
in the taka amount of sales between the men and women he employed as sales associates. A
sample of 40 days revealed the men sold a
sample of 50 days, the women sold a mean of Tk1500 worth of appliance per day. Assume
the population standard deviation for men is Tk200 and for women Tk250. At the 0.05
significance level, can Mr. Karim conclude that the mean amount sold per day is larger for the
women?
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