Any conclusion drawn for the t-test statistical process is only as good as the research question asked and the null hypothesis formulated. T-tests are only used for two sample groups, either on a pre post-test basis or between two samples (independent or dependent). The t-test is optimized to deal with small sample numbers which is often the case with managers in any business. When samples are excessively large the t test becomes difficult to manage due to the mathematical calculations involved.
Calculate the “t” value for independent groups for the following data using the formula presented in the module. Check the accuracy of your calculations. Using the raw measurement data presented above, determine whether or not there exists a statistically significant difference between the salaries of female and male human resource managers using the appropriate t-test. Develop a research question, testable hypothesis, confidence level, and degrees of freedom. Draw the appropriate conclusions with respect to female and male HR salary levels. Report the required “t” critical values based on the degrees of freedom. Your response should be 2-3 pages.
Salary Level | |
Female HR Directors | Male HR Directors |
$50,000 | $58,000 |
$75,000 | $69,000 |
$72,000 | $73,000 |
$67,000 | $67,000 |
$54,000 | $55,000 |
$58,000 | $63,000 |
$52,000 | $53,000 |
$68,000 | $70,000 |
$71,000 | $69,000 |
$55,000 | $60,000 |
*Do not forget what we all learned in high school about “0”s |
1. Calculate the “t” value and set up the posting as required. | |
2. Develope an appropriate research question. | |
3. Develope an appropriate testable hypothesis based on the research question. | |
4. Select an appropriate confidence level and accurately stated the degrees of freedom along with the required critical value for “t.” | |