A large on-demand video streaming company is designing a large-scale survey to determine the mean amount of time corporate executives watch on-demand television. A small pilot survey of 10 executives indicated that the mean time per week is 12 hours, with a standard deviation of 3.5 hours. The estimate of the mean viewing time should be within a one-quarter hour. The 99% level of confidence is to be used. (Use z Distribution Table.) A. How many executives should be surveyed? (Round the z-score to 2 decimal places and final answer to the next whole number.)
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!
A large on-demand video streaming company is designing a large-scale survey to determine the mean amount of time corporate executives watch on-demand television. A small pilot survey of 10 executives indicated that the mean time per week is 12 hours, with a standard deviation of 3.5 hours. The estimate of the mean viewing time should be within a one-quarter hour. The 99% level of confidence is to be used. (Use z Distribution Table.)
A. How many executives should be surveyed? (Round the z-score to 2 decimal places and final answer to the next whole number.)
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