Describe the similarities between an F-ratio and a t statistic

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Describe the similarities between an F-ratio and a t statistic.
a. The basic relationship between t statistic and F-ratios can be stated in an equation. What is that equation?
b. These two methods are very similar in calculation (t and F). If you have data from an independent-measures experiment, with only two treatment conditions, you can use either a t test or an independent-measures ANOVA and expect the same results. Provide evidence of why this formula (answer from part a) works. Hint: you can show the t and F formulas in terms of what each measures (words, not numbers) including numerator and denominator values.
c. If you are testing the same hypothesis, with only two treatments, what would the null hypothesis read for each (show in terms of symbols).