In: Statistics and Probability
1. According to the U.S. Census Bureau, 88% of Americans had at least a high school diploma or GED in 2015 and 33% had a bachelor’s degree or more. 100 individuals with a high school diploma and no college were surveyed and their average annual salary was $34,436 with a standard deviation of $1643. 100 individuals with a bachelor’s degree were also surveyed and their annual salary was $58,657 with a standard deviation of $2340. Carry out an appropriate hypothesis test to determine if individuals with a bachelor’s degree have a higher annual salary, on average, than individuals with just a high school diploma. Make sure to include your hypotheses, assumptions, p-value, decision concerning the null hypothesis and an English statement explaining your findings.
2. In 2012, there were roughly 110,000 Democrats in Kern County. The Kern County Elections department released data in 2018 showing that the number of Democrats in the county was on the rise. The data stated that Kern County was home to 131,168 Republicans, 124,174 Democrats, and 89,193 voters with no party preference. Construct a relative frequency bar graph which summarizes all of this data. Make sure to properly label your graph.