Mini Project IEE 380

IEE 380 Mini-Project Summer 2023 Name: Abhikya Reddy Ananth Objectives The objectives of this project are to (a) provide students with data collection experience, (b) give students experience with Excel (c) give students a realistic statistical data analysis experience, (d) improve students’ technical writing skills. Discrete Data Description The number of siblings in a sample of n people is the discrete data that I used. By contacting my friends and family and asking them how many siblings each of them had, I was able to gather a sample of 40 observations for this data. Discrete Data Table The discrete data collected on the number of siblings in a sample of 40 people for this project can be seen in the following table: Sample Number Name Number of siblings 1 Bharathi 1 2 Ronit 2 3 Shrenik 1 4 Triyaksh a 1 5 Aarya 0 6 Riya 0 7 Kush 2 8 Maitrey a 1 9 Destiny 2 10 Reine 3 11 Annable 1 12 Karthik 0 13 Andrew 2 14 Nivedith a 3 15 Naresh 3 16 Bharath 1 17 Sri 1 18 Adrian 1 19 Farah 4 20 Olivia 2 21 Rohith 1 22 Pooja 1 23 Vrushan k 1 24 Hassan 5 25 Abdul 5 26 Ahmed 5 27 Tofique 3 28 Megan 2 29 Yadhira 3 30 Jewel 1 31 Madelin e 1 32 Madison 1 33 Nia 4 34 Arielle 1 35 Micheal 2 36 Noah 2

37 James 3 38 Sydney 3 39 Charles 3 40 Hannah 2 Discrete Data Histogram The Histogram for the discrete data collected for the number of siblings in a sample of 40 people for this project can be seen below: Bin Frequenc y 0 3 1 15 2 9 3 8 4 2 5 3 6 0 More 0 1 2 3 4 5 6 7 8 0 2 4 6 8 10 12 14 16 3 15 9 8 2 3 0 0 Histogram of Number of Siblings Number of Siblings Number of People in Sample As we can see from the histogram of the number of siblings in a sample of 40 people, it has a shape of discrete distribution which is skewed right and is called positive-skew distribution . Sample Mean and Standard Deviation Sample Mean computation:

Upper Bound CI = 2.428466 Lower Bound L ¿ x̄ − Z α 2 ∗ σ √ ( n ) ‘^’ resembles hat which is a symbol used to denote a estimated value Lower Bound CI = 1.571534 Continuous Data Description The number of miles from ASU Tempe campus that a sample of 40 people live is the continuous data I have used. By contacting friends and asking them to check the miles using google maps from their homes to the ASU’s Campus located in Tempe, Arizona, I was able to gather a sample of 40 observations for this data. Continuous Data Table The continuous data collected on the number of miles from ASU Tempe Campus that a sample of 40 people live can be seen in the following table: Sample Numbe r Name of the student Miles from ASU Tempe Campus 1 Bharathi 5.2 2 Ronit 12.7 3 Shrenik 8.9 4 Triyaksha 3.6 5 Aarya 10.1 6 Riya 6.8 7 Kush 15.3 8 Maitreya 9.4 9 Destiny 2.1 10 Reine 11.5 11 Annable 4.9 12 Karthik 7.2 13 Andrew 13.8 14 Niveditha 6.5 15 Naresh 9.7 16 Bharath 1.8 17 Sri 5.5 18 Adrian 14.2 19 Farah 3.9 20 Olivia 8.3 21 Rohith 12.6 22 Pooja 5.9 23 Vrushank 7.4 24 Hassan 2.3 25 Abdul 11.9 26 Ahmed 4.2 27 Tofique 6.7 28 Megan 14.5 29 Yadhira 9.8 30 Jewel 3.4 31 Madeline 10.3 32 Madison 7.8 33 Nia 2.7 34 Arielle 12.1

35 Micheal 4.6 36 Noah 6.1 37 James 13.2 38 Sydney 8.7 39 Charles 1.6 40 Hannah 9.1 Continuous Data Histogram The Histogram for the continuous data collected for the number of miles in a sample of 40 people for this project can be seen below: Bin Frequenc y 0-1.0 0 1.1-2.0 2 2.1-4.0 6 4.1-6.0 6 6.1-8.0 7 8.1-10.0 7 10.1-12.0 4 12.1-14.0 5 14.1-16.0 3 More 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 0 2 6 6 7 7 4 5 3 0 Histogram of the Number of Miles from Campus Number of Miles Number of people in Sample As we can see from the histogram of the number of miles from campus in a sample of 40 people, it has a shape of continuous distribution which has the bell-shaped normal distribution .

¿ ⋀ ❑ = x̄ + Z α 2 ∗ σ √ ( n ) ‘^’ resembles hat which is a symbol used to denote a estimated value Upper Bound CI = 9.16033783 Lower Bound L ¿ x̄ − Z α 2 ∗ σ √ ( n ) ‘^’ resembles hat which is a symbol used to denote a estimated value Lower Bound CI = 6.65466217.