Question

In: Statistics and Probability

Suppose that the minimum and maximum ages for typical textbooks currently used in college courses are...

Suppose that the minimum and maximum ages for typical textbooks currently used in college courses are 00 and 88 years. Use the range rule of thumb to estimate the standard deviation.
Standard deviation = Find the size of the sample required to estimage the mean age of textbooks currently used in college courses. Assume that you want 9292% confidence that the sample mean is within 0.250.25 year of the population mean. Required sample size =

Expert Solution

Solution

Given ,

Minimum = 0

Maximum = 8

So , Range = maximum - minimum = 8 - 0 = 8

According to the range rule of thumb , the population SD is given by

= Range/4 = 8/4 = 2

Now , given that , c = 92% = 0.92 (Confidence level)

E = 0.25 (margin of error)

= 1- c = 1- 0.92 = 0.08

/2 = 0.08 2 = 0.04 and 1- /2 = 0.960

Search the probability 0.960 in the Z table and see corresponding z value

= 1.751

Now, sample size (n) is given by,

= {(1.75 * 2)/ 0.25 }²

= 196

Answer : Required sample size = 196

orchestra answered 1 year ago

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