Question: Please help. Topic: Inference for Two Populations (Determining an Appropriate Research Question) Instructions: Must first determine a research question of interest, collect the necessary data,
Please help.
Topic: Inference for Two Populations (Determining an Appropriate Research Question)
Instructions:
Must first determine a research question of interest, collect the necessary data, summarize the data graphically and numerically, and answer your question with both a confidence interval and a hypothesis test. Be sure to use the 5-step hypothesis testing procedure and compose a thorough conclusion about your confidence interval.
You may use your own question, if the data needed to answer the question is readily available to you. You may also use ideas from other students and here are a few more ideas:
- You could use the websites of professional sports associations to collect data and compare the mean salaries of two different positions or the heights, weights, some sport statistic of two different positions
- Collecting data from a grocery store, you could compare the mean cost of store brand items and the comparable name brand item or you could compare the sugar content of cereals and the shelf location (upper or lower) or you could compare the fat (or sodium or calorie) content of two different major brands of soup. Another idea could be to compare the prices of commonly purchased items from two major grocery stores.
- Compare the mean pulse rate (beats per minute) of men and women or some other variable of interest.
An appropriate research question for this assignment is below:
(10.1/11.1) One Quantitative Variable, Comparing the Mean for Two Populations:
In general, ask if the means of the quantitative variable are similar (or different) for the two populations.
Example: Do men and women drive at the same speed on the freeway, on average? (Please do not use the provided example).
Answer the prompts below:
- Include your raw data and explain how the data was collected. If you are using available data, provide a link to the online data or write an appropriate reference to the source if it is from print.
- Compose an appropriate graph that summarize the variable for your question. The graphs that you select should present a preliminary answer to your question. Refer to examples in the text to see how to best visualize your data and make the correct comparison.
- Report appropriate measures that summarize the variable of interest for your question. This may include sample mean(s), sample standard deviation(s), sample proportions (depending on your question) and sample size(s). Be sure to include all statistics that are needed to proceed with your inferential procedures. These statistics do not need to be computed by hand. Use your TI-84 and just report the results.
- Interpret the graphs and summary measures to describe the distribution(s) of your variable of interest.
- Compose a confidence interval for your question, showing all calculations. You may choose the confidence level.
- Perform a hypothesis test for your question, using all 5 steps of a hypothesis test and showing the calculations.
- Explain the results in the context of your question. Use complete sentences and be sure that you have answered your research question. Did the two procedures lead to similar conclusions? Were any results unusual or unexpected?
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