Compute the following sample sizes. Use the appropriate formula. You must round to the nearest hundredth when neccessary. A. The average height of young adult males has a normal distribution with standard deviation of 2.5 inches. You want to estimate the mean height of students at your college or university to within one inch with 95% confidence. How many male students must you measure? b. You plan to conduct a survey on your college campus to learn about the political awareness of students. You want to estimate the true proportion of college students on your campus who voted in the 2016 presidential election with 95% confidence and a margin of error no greater than 5 percent. How many students must you interview? c. Suppose an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones. A previous study indicates that the actual percentage is 37%. How many customers should the company survey in order to be 95% confident that the estimated proportion is within 5 percentage points of the true population proportion of customers who click on ads on their smartphones?
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!
Compute the following
A. The average height of young adult males has a
b. You plan to conduct a survey on your college campus to learn about the political awareness of
students. You want to estimate the true proportion of college students on your campus who
voted in the 2016 presidential election with 95% confidence and a margin of error no greater
than 5 percent. How many students must you interview?
c. Suppose an internet marketing company wants to determine the current percentage of
customers who click on ads on their smartphones. A previous study indicates that the actual
percentage is 37%. How many customers should the company survey in order to be 95%
confident that the estimated proportion is within 5 percentage points of the true population
proportion of customers who click on ads on their smartphones?
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