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Problem Set-up: Sampling Methods and the Central Limit Theorem

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The area of study is Sampling Methods and the Central Limit Theorem.

Consider the digits in the phone numbers on a randomly selected page of your local phone book a population. Make a frequency table of the final digit of 30 randomly selected phone numbers. For example, if a phone number is 555-9704, record a 4.

Draw a histogram or other graph of this population distribution. Using the uniform distribution, compute the population mean and the population standard deviation.

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Solution Summary

This solution is provided in 199 words in an attached .doc file. It uses Excel to analyze data and find the frequency distribution, histogram, mean, and standard deviation.

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See the attachment please.

I chose 30 phone numbers randomly and got the following

852-4534 4
461-8122 2
454-7100 0
209-2021 1

454-5888 8
434-4114 4
422-7368 8
466-0149 9

454-2571 1
468-2319 9
865-1334 4
455-5469 9

876-2227 7
452-6800 ...

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  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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