suppose you believe that in general, graduates who have majored in your subject are offered higher salaries upon graduating than are graduates of other programs. describe a statistical experiment that could help test your belief.
my problem with this question is what data to use as an example. should i use the graduates as my population or maybe a type of job?
If you can get it, compare $ offers for graduates in your major to all other graduates or all graduates.
Ho: mean$ your major = mean$ other/all majors
Ha: mean$ your major > mean$ other/all majors
After gathering your data,
Z = (mean1 - mean2)/standard error (SE) of difference between means
SEdiff = √(SEmean1^2 + SEmean2^2)
SEm = SD/√(n-1)
Since only one SD is provided, you can use just that to determine SEdiff.
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to that Z score.
Remember that you are using a one-tailed test.
To test your belief that graduates who have majored in your subject are offered higher salaries upon graduating than graduates of other programs, you can conduct a statistical experiment using a sample of graduates from various programs. Here's a step-by-step description of how you can perform the experiment:
1. Define the population: In this case, the population would be all graduates from different programs.
2. Determine the sample: Select a representative sample of graduates from different programs. The sample should ideally include graduates from a variety of programs to ensure a fair comparison.
3. Collect data: Gather information about the salaries of the graduates in your sample. This could be done through surveys, interviews, or by collecting official salary records.
4. Analyze the data: Compare the salaries of graduates from your subject with the salaries of graduates from other programs. Calculate average salaries, median salaries, or any relevant statistical measures to compare the two groups. You can also perform statistical tests such as t-tests or analysis of variance (ANOVA) to determine if there are significant differences in salaries between the groups.
5. Consider other factors: It's important to account for potential confounding variables that may impact salary differences, such as years of experience, location, or industry. You can include these variables as covariates in your analysis or stratify the data by these factors to gain a deeper understanding of the results.
6. Draw conclusions: Based on your analysis, determine whether there is evidence to support your belief that graduates who have majored in your subject are offered higher salaries upon graduating. Consider the statistical significance of any findings, as well as the practical significance in relation to other factors.
Remember, this experiment helps provide evidence for or against your belief, but it cannot prove your belief with absolute certainty. The larger the sample size and the more representative the sample, the more reliable and generalizable your conclusions will be.