The following homework questions are due by the end of the week (Sunday, August 28) All work should be shown and the assignment should be scanned and uploaded into the correct assignment tab in the Canvas site for the course.

1. You are interested in the perceived gender identification for Virginia college students. To gather data, you ask 50 students from every college in Virginia what their gender identification is.

a. What is the population of interest for this study?

b. What sampling method are you using to collect your data? Support your choice.

c. What is the variable you are collecting?

d. Name a different sampling method and describe how that might be used to collect your data for this problem.

e. Are your data qualitative or quantitative? Support your answer.

f. What level of measurement is your data? Support your answer.

g. Is this an observational study or experiment? Support your answer.

2. What are the two main branches of statistics and briefly describe the purpose for each

3. Using the data set on USA Student data (data sets are found in the "data set" module on our Canvas site) please create the following for the first 50 in the sample (rows 2 through 51):

a. A stem and leaf diagram for the variable height (column E)

b. A grouped frequency distribution and frequency histogram using 6 classes for the variable height. Please show your work.

c. Use your grouped frequency distribution from part (b) to estimate the mean height of a USA student. (show your work)

4. The empirical rules states that:

a. ______% of data in a symmetrical distribution will fall within one standard deviation of the mean

b. ______% of data in a symmetrical distribution will fall within two standard deviations of the mean

c. ______% of data in a symmetrical distribution will fall within three standard deviations of the mean

5. The following data represents a sample of the highest single day snowfall amount in a year in Richmond, VA on July 4 over the past 120 years:

15.5 4.3 4.3 10.7 6.9 16.3 19.3 8.9 17.3

a. Find the mean

b. Find standard deviation

c. Find the quartiles

d. Find the standard score (z-score) for the first three data points

e. Create a Box and Whisker Plot for the data

f. If you assume the distribution of highest single day snowfall amounts are symmetrically distributed, between which two (specific) depths would you expect about 95% of the yearly high snowfall amounts to be between?