1.Collect 30+ numerical data values and list them all. Example, select one baseball player from each team and record their salary.10 points.
2.Describe step by step how you collected your datain Step 1and name the type of sampling used (systematic-stratified-cluster-random)10 points.
3.Using your data, calculate the mean, median, mode, range, and standard deviation of the data set.10 points.
4.Construct a box plot with your data and label the five number summary on your graph (min-Q1-mode-Q3-max). Include outliers if any. List the shape of your distribution (symmetric-skewed left-skewed right)10 points.
5.Calculate a 95% confidence interval for the mean.10 points.
6.Ask 30+different people a Yes/No question and make sure you get a mixture of males and females though not necessarily 50/50. It’s ok to get a convenience sample here and could be from social media as well. List the 30+ responses along with their genderin a table.10 points.
7.Calculate a 99% confidence interval for the proportion.10 points.
8.Use n = your sample size in step 6, p = 0.5, and x = number of yes’s in your sample, calculate the binomial probabilities of “exactly” your x amount and “at least” your x amount.10 points.
9.Make a table with two rows (Yes/No) and two columns (Male/Female) and fill in the table using your data from step 6. Then run a Chi-Square Test of Independence to see if there is a difference in the proportion of yes’s between males and females using a 5% level of significance.10 points.
10.Make a five minute video showing all of your results of the first nine steps and any conclusionsyou discovered from performing this project for both the numerical data and the yes/no data. Was anything surprising in the results/calculations? 10 points.