César Chávez Day is observed in the United States on March 31 each year. It celebrates the birthday of César Estrada Chávez and it serves as a tribute to his commitment to social justice and respect for human dignity. On this day, people celebrating this holiday usually spend on average $1000 with a standard deviation of $200. A random sample of 34 celebrants were surveyed, what is the probability that the mean amount spent by the sample was more than $1100? Leave your answer in 4 decimal places
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!
César Chávez Day is observed in the United States on March 31 each year. It celebrates the birthday of César Estrada Chávez and it serves as a tribute to his commitment to social justice and respect for human dignity. On this day, people celebrating this holiday usually spend on average $1000 with a standard deviation of $200. A random sample of 34 celebrants were surveyed, what is the
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