Question 244807: Please Answer the following Questions and explain how you derived at each of the following answers.
· What symbol do we use for representing the mean of a population and what symbol do we use to represent the mean of a sample that you have taken?
· What Statements can you make about the density curves? (give at least 2)
· By Chebyshev’s Rule: Attendance at a university’s basketball games follows a normal distribution with mean m = 8,000 and standard deviation s = 1,000. Estimate the percentage of games that have between 7,000 to 9,000 people in attendance.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Please Answer the following Questions and explain how you derived at each of the following answers.
· What symbol do we use for representing the mean of a population and what symbol do we use to represent the mean of a sample that you have taken?
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population mean = mu = u
sample mean = x-bar or maybe y-bar
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· What Statements can you make about the density curves? (give at least 2)
1) the area under the curve is 1
2) The range of the z or t values is approximately 6sigma.
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· By Chebyshev’s Rule: Attendance at a university’s basketball games follows a normal distribution with mean m = 8,000 and standard deviation s = 1,000. Estimate the percentage of games that have between 7,000 to 9,000 people in attendance.
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7000 to 9000 covers the interval within 1 standard deviation of the mean.
Chebyshev's Rule only states that there will be at least 1-[1/1^2]% = 0%
of the population. In other words, Chebyshev's Rule tells us nothing
about the amount of population within one standard deviation of the mean.
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Cheers,
Stan H.
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