This assignment analyzes a dataset of 400 individuals from California in 2012, focusing on wages, occupation, and gender. The analysis begins with a sample of 50 observations, using charts and probability distributions to explore the data. It examines the distribution of gender and occupation categories, calculating probabilities and descriptive statistics. A histogram reveals the wage distribution's skewness, prompting the use of median and interquartile range. The assignment then conducts hypothesis tests at 1% and 5% significance levels, exploring whether the population's mean wage differs from $25. Confidence intervals are calculated to estimate the range of population mean wages with 99% and 95% confidence. The conclusion summarizes the findings, emphasizing the skewed wage distribution, the high representation of 'other' occupations, and the results of the hypothesis tests and confidence intervals, providing a comprehensive statistical analysis of the provided data.
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