Sample Mean and Proportion
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Sample Mean and Proportion Report
Part 1: Statistical Samples and Populations
In Part 1 of your report, you will again be addressing some fundamental questions asked by your client to help them understand statistical samples and populations. Address the following questions:
What is a statistical sample? How are statisticians sure that samples are representative of a population?
What is an example of a statistical sample for a population?
What is the importance of random sampling? How can bias be built into non-random samples?
How can a bad sample detract from the accuracy of a statistical measure? Provide an example.
Part 2: Samples of Country Health Spending
In part 2 of your report, you will analyze random samples of data to better understand a larger population. You should use the same data set from Project One. Perform the following analyses:
Analyze the health spending (by percentage of GDP) by completing these two calculations on 3 samples:
● Calculate the mean and standard deviation for the health spending (by percentage of GDP)
● Assume the health spending has a normal distribution and using the mean and standard deviation you calculated in the previous step, calculate the probability that the sample mean is more than 9% using the following samples (show the calculations of the Z-score for each sample).
A random sample of 4 Countries
A random sample of 16 countries
A random sample of 32 countries
Taking a random sample of 36 countries, determine the probability that the country's domestic government health spending (as a percentage of total government spending) is above 8%, assuming it is a normal distribution.
Taking a random sample of 36 countries, determine the probability that the proportion of health spending (by percentage of GDP) is greater than 10%, assuming it is a normal distribution.
Taking a random sample of 36 countries, determine the probability that the proportion of health spending (as a percentage of total government spending) is greater than 12%, assuming it is a normal distribution.
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Solution Summary
The Excel file contains the calculations for the means, standard deviations, z scores and probabilities. The Word file shows step-by-step calculations for the z-scores and summarizes the results of the Excel file. Instructions for randomly selecting the countries are provided in the Word file and the Excel file.
Education
- MSc, California State Polytechnic University, Pomona
- MBA, University of California, Riverside
- BSc, California State Polytechnic University, Pomona
- BSc, California State Polytechnic University, Pomona
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- "Hello, thank you for your answer for my probability question. However, I think you interpreted the second and third question differently than was meant, as the assumption still stands that a person still independently ranks the n options first. The probability I am after is the probability that this independently determined ranking then is equal to one of the p fixed rankings. Similarly for the third question, where the x people choose their ranking independently, and then I want the probability that for x people this is equal to one particular ranking. I was wondering if you could help me with this. "
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