See Solution: During the semester you will be required to turn in - #80003
Assignments in Hypothesis Testing:
During the semester you will be required to turn in 2 projects in hypothesis testing. The information regarding the problems is listed below.
Assignment for Applied Project: You have been asked by the Census Bureau to gather info about the age (in years) of the people in Virginia. The information gathered will be used to better understand the distribution of ages so that key decisions can be made within the State.
You will need to obtain the ages (in years) of at least 30 individuals.
1. Describe your data, where did the data come from?
2. Find the following statistic; mean, median, mode, midrange, range, standard deviation, variance, sample size, and quartiles
3. Construct a frequency table, histogram, stem & leaf plot and box-plot
4. Include a table that lists class limits, class boundaries, frequency and relative frequency.
5. Construct 90%, 95% and 99% confidence intervals about the mean of your data
6. Assuming that we have a normal distribution, calculate the following probabilities from your data:
a. P(45 <x < 65) b. P(x<20) c. P(x>60) d. P(18<x<40)
7. Previous information gathered by the Bureau shows that the average age of a person in VA is p = 46. Assuming a normal distribution
a. Use a 1% level of significance to test the claim that the average age of a person in VA is different from 46; use info from your sample. Explain the results.
b. Use a 5% level of significance to test the claim that the average age of a person in VA is greater than the claim of 46. Explain the results.
8. Write a half page summary about your results from this study; was it what you expected, what are your conclusions?
Solution: We have performed a random sampling to gather information about the population age in Virginia. Our sample gave us information about basic statistics, like the mean, the median, the mode, the quartiles, the range, etc.
We constructed a histogram, box plot, stem and leaf, and we notice a normal tendency of the data, which was expected.
We also found confidence intervals for the population mean, and we run test to compare our sample mean with some historical average age in Virginia. We found that with a 0.05 significance level, our population should be considered less than the historical mean 46. This could be due to an actual rejuvenation of the population, but also could be due to a bias sampling. In order to determine what the real cause is we need to run further tests.
Deliverable: Word Document
and pdf
