Applying concepts of statistics to my life

 Project 1 - Applying Concepts : Collecting Data 

Mission : Collect 3 sets of data: qualitative, quantitative discrete, and quantitative continuous.

Execution: I chose to collect favorite ice cream flavor, number of times you go to the gym weekly, and the average amount of time per workout. I went to the gym I have a subscription at (Kia Ora)

 I stood at the door and asked a few people these questions. I ended up asking only 12 people, as it was extremely hard to ask people and then have them say yes to answering my questions. I asked on my family group chat for the remaining data I needed.

Weakness : I wasn’t able to get it all from the same location, so I ended up resorting to getting what would be dubbed as a convenient sample. There was also some bias because it was hard to approach people and give them the spiel.

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Project 2 - Applying Concepts : Probability

Mission : Estimate the number of vehicles in the Tri-Cities that are red by collecting a sample of 50 cars and their color around the Tri-Cities.

Execution : I decided to go smaller and just say my population is Kennewick, not the three cities. I went to WinCo on Sunday morning and walked through the parking lot recording car colors on a pad of paper.

Problems : By going to WinCo at a specific time, I set my sample up to be labeled as a convenient sample. 

Data :                                                    Results:

  According to my sample 12% of cars in kennewick are red.

                    My thoughts and mistakes:

I don’t think my results are close to the TRUE percentage of red cars because I took the sample from the most convenient place and most convenient time for me. I went to WinCo on a Sunday and recorded the first 50 of the cars parked there. It is also a relatively small sample size compared to the actual population.

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Part 2: Build and Use a Contigency Table

Population : Tri-cities residents

Mission : I want to collect two different data sets from people to figure out and compare the data sets. I chose to compare homeownership status and the type of car people own.

Sampling Procedure : I uploaded the questions to a Google Form. I distributed the Google Form by posting it to my story and texting it to close family and friends. In order to only collect data from my chosen population, I contained a question about if they lived over 50% of the time the last 6 months in the Tri-Cities. I recorded the data in the table shown to the left.

Comparing data : To compare the data, I composed a contingency table, which is displayed down below. I then did a series of calculations to utilize the table, which I have pasted below. All of these calculations are based on my sample.

         1. MARGINAL (overall) probability from my contingency table. (Overall probability that someone from the Tri-Cities drives a car.) 

P(drives a car) = 13/30  is about 0.4333… or 43.33%

         2. AND probability from my contingency table. (The probability someone from the Tri-Cities Owns a home and drives a truck.)

P(Own and Truck) = 4/30 is abt 0.1333 or 13.33%

        3. CONDITIONAL probability from your contingency table. (Probability that if someone drives a truck, they also own                      their home.)

P(truck|own) = P(own AND truck)/P(own)

          =(4/30)/(13/30)

          =4/13 = 0.3077 = 30.77%

My thoughts : I was expecting a lot more of the people to be renting despite their vehicle type, but the sample I took had a very varied age range. I think that age played a role in my results. I believe that these two variables are independent.