III. A researcher was interested in whether the mean hours of sleep differed by sex. The table below contains summary statistics for males and females in her class. You are asked to test (use Alpha = 0.05) whether there is a difference in the mean hours of sleep by sex. (15 points) Note: Include calculation steps and formula for all the questions Sex Males Females Sample Size Means Hours of Standard Deviation Sleep 16 6.40 0.99 75 6.95 1.46 a) Hypothesis statements: Ho: [null] HA: [alternative] b) &-& = [diff] c) SE = d) df [d] e) Test statistic= [t] f) p-value approximation = [p] (Use Table) g) Conclusion of significance: Spring 2024