Discuss the below:
Q: The wages data set has a sample size of 100 people that were surveyed. The survey included information such as gender, educational experience, career experience, yearly salary, location and other questions. When the raw data is entered into Megastat, the test that was chosen was the Z statistic. The reason the Z statistic test was is because the sample size is greater than 30. The industries sampled in this data set were manufacturing, construction and "other". Within the industries mentioned, the following occupations were sampled; management, sales, clerical, service, professional, other. Our error margin was .05, according to the five step Hypothesis testing process, we subtract .5000 from .05 because "The normal distribution is symmetrical, meaning it has an equal area on each side of the mean and this is 50% or .5000 in the decimals used in the table."(Week 1 lecture, Dickens 2008) For the 47 females surveyed the mean wage was $24,451 per year with a standard deviation of $12,455 per year. For the 53 males surveyed the mean wage was $36,492 per year with a standard deviation of $18,447 per year. The critical "Z" value was 1.96 and the result of the test resulted in the "Z" value equaling -3.86. Since the result was less than 1.96, the null hypothesis cannot be rejected. The test showed that the women surveyed make $12,041 per year less than the men.
Attachment:- Independent groups.rar