# MTH 107 – Project: Qualitative and Quantitative data

MTH 107 – Project: Qualitative and Quantitative data 150 150 Affordable Capstone Projects Written from Scratch

MTH 107 – Project
Due Date: Sunday, May 6, 2018
Complete the following AND SHOW ALL WORK:
1. In paragraph form, describe your topic. You may choose any topic you wish as long as it involves quantitative data (numbers) of some kind. Identify the relevant population relating to your topic. Next, obtain data in order to address your question of interest. Collect a sample related to your question of interest where the sample size (n) is 30 or more by conducting a survey. Remember, the data must be quantitative as the term is defined in the text (for example, the ages of best actresses in the text), so for whatever survey question you ask, the answer must be a number. In paragraph form, describe how you obtained your data, including the phrasing of the question you asked and how you conducted your poll (e.g. asked friends, family, coworkers; went to a mall, chat rooms, etc.). If you are unsure as to whether or not your data is quantitative, please contact me for help.
a. Provide a list of your original data. This should be a list of at least 30 numbers.
b. Create a frequency distribution table using at least 5 classes. Show the class limits (including the calculation to get class width, etc.), class frequencies, relative frequencies, and cumulative frequencies.
c. Create a histogram using the class frequencies from part (b) (see Chapter 2-3).
d. Calculate the mean, median, and mode using the methods described in Chapter 3-2.
e. Calculate the standard deviation and the variance from the original data. Use either Formula 3-4 or 3-5 for the standard deviation calculation.
f. Calculate the 5-number summary.
3. Assume that the data is bell-shaped. Use the mean and standard deviation to find the limits for 68%, 95%, and 99.7% of the data. (Hint: Empirical Rule)
4. Propose a hypothesis about the proportion AND mean of your quantitative data.
a. Your proportion hypothesis must contain only one number. For example, looking at the Best Actress Ages example in the text, “at least 25% of best actresses are in her 30s”, “more than 30% are older than 30”, or “15% are 35” are acceptable, “between 10% and 30% are 35” is not.
i. Calculate the proportion (to which you refer with your proportion hypothesis) of your data. For example, x% of best actresses were in her 30s.
ii. Calculate the 95% Confidence Interval for the proportion.
b. Your mean hypothesis must also contain only one number. For example “the average is at most 30 years old”, “the average is under 25”, or “the average is not 40” are acceptable, “the average is between 15 and 40” is not.
i. Using the sample mean and standard deviation (from #2 above, also see Chapter 3), calculate the 95% Confidence Interval for the population mean (see Chapter 7-4). 