Computer Project

This project will give you the opportunity to apply the analysis methods of inferential statistics to sets of data. You will also collect data, analyze data, and write a project report. Spelling, grammar, and the overall quality of your written work will be taken into account for your grade.

1. In paragraph form, describe your topics and state your hypotheses. Your topic must involve a quantitative random variable and a binomial random variable. For example, if you were interested in smoking and students’ grades, you could collect 40 GPAs for the quantitative variable, and smoker/non-smoker status for their binomial variable. Identify the relevant population and possible samples needed to address some question of interest relating to your topic. Before obtaining your data, formulate hypotheses regarding your population. First, propose a hypothesis about the population proportion for people who will respond "yes" to your binomial question ( e.g. "If I ask 40 students ‘Do you smoke?’, more than 25% will say yes."). Next, propose a hypothesis about the population mean for your quantitative topic ( e.g. "I think the average GPA will be under 3.4."). Finally, propose a hypothesis about the population standard deviation ( e.g. "I think the standard deviation will be at least 1.5."). You will test all three hypotheses using the data you will collect. For this project we will NOT be testing the effect of one variable on the other, we will be doing the three tests separately.
2. Obtain data in order to address your question of interest. You will need to poll at least 40 people, asking each two questions: a yes/no (binomial) question, and a question that yields a quantitative response ( e.g. "Do you smoke and what is your GPA?"). In paragraph form, describe how you obtained your data. Include a list of the values for the quantitative data in your project report.
3. For the binomial sample :

1. Calculate the proportion who answered "yes" and the proportion who answered "no."
2. Calculate the 95% Confidence Interval for the proportion who answered "yes."

c. Using your survey results test the hypothesis you proposed in Part 1. Show work for all steps including the formulas. Calculate the p-value for the test. Use \[\alpha =0.05\] to find your conclusion.

4) For the quantitative sample :

1. Calculate the mean, variance, and standard deviation.
2. Calculate the 95% Confidence Interval for the population mean.

1. Calculate the 95% Confidence Interval for the population standard deviation.
2. Using your survey results test the hypothesis for the mean that you proposed in Part 1. Show work for all steps including the formulas you use. Use \[\alpha =0.05\] to find your conclusion.
3. Using your survey results test the hypothesis for the standard deviation that you proposed in Part 1. Show work for all steps including the formulas you use. Use \[\alpha =0.05\] to find your conclusion.

5) In paragraph form, describe what you have found and write your conclusions based on your sample and the analyses you have performed.

Price: $27.86

Solution: The downloadable solution consists of 15 pages, 1286 words and 6 charts.
Deliverable: Word Document