Any Conclusion Drawn For The T Test Statistical Process Is O

Question

Any Conclusion Drawn For The T Test Statistical Process Is Only As Goo 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

Dr. Jack HW Helper · Accepted Answer

Introduction The purpose of this analysis is to determine whether there is a statistically significant difference in salary levels between female and male human resource (HR) directors. Using a t-test for independent samples, we aim to evaluate if observed salary differences are substantial enough to reject the null hypothesis that there is no difference between the two groups. This process involves formulating a research question, developing hypotheses, calculating the t-value, and comparing it to critical t-values based on degrees of freedom at a specified confidence level. Research Question and Hypotheses The central research question is: "Is there a significant difference in salary levels between female and male HR directors?" The null hypothesis (H₀) posits that there is no difference in mean salaries between the two groups: H₀: μ₁ = μ₂ The alternative hypothesis (H₁) states that there is a significant difference: H₁: μ₁ ≠ μ₂ A two-tailed test will be used, with a commonly accepted confidence level of 95% (α = 0.05). Data and Calculations The provided data consist of the salaries of female and male HR directors: - Female HR Directors: 50,000; 75,000; 72,000; 67,000; 54,000; 58,000; 52,000; 68,000; 71,000; 55,000 - Male HR Directors: 58,000; 69,000; 73,000; 67,000; 55,000; 63,000; 53,000; 70,000; 69,000; 60,000 The sample sizes for both groups are n₁ = n₂ = 10. First, calculate the means: - Mean salary for females: $$ \bar{X}_f = \frac{50,000 + 75,000 + 72,000 + 67,000 + 54,000 + 58,000 + 52,000 + 68,000 + 71,000 + 55,000}{10} = \$61,700 $$ - Mean salary for males: $$ \bar{X}_m = \frac{58,000 + 69,000 + 73,000 + 67,000 + 55,000 + 63,000 + 53,000 + 70,000 + 69,000 + 60,000}{10} = \$64,900 $$ Next, calculate the standard deviations: - For females: $$ s_f = \sqrt{\frac{\sum (X_f - \bar{X}_f)^2}{n_f - 1}} \approx \$8,245 $$ - For males: $$ s_m \approx \$6,748 $$ Using the formula for the t-value for independent samples: \[ t = \frac{\bar{X}_f - \bar{X}_m}{\sqrt{\fra

Any Conclusion Drawn For The T Test Statistical Process Is O

Any Conclusion Drawn For The T Test Statistical Process Is Only As Goo

Paper For Above instruction

Introduction

Research Question and Hypotheses

Data and Calculations

Analysis and Conclusion

Implications and Recommendations

Conclusion

References