Shea wants to estimate the difference between two population means and plans to use data collected from two independent simple random samples of sizes n 1 = 24 and n 2 = 29. She does not know the...

Shea wants to estimate the difference between two population means and plans to use data collected from two independent simple random samples of sizes n 1 = 24 and n 2 = 29. She does not know the population standard deviations, so she plans to construct a two-sample t - confidence interval for the difference in the two means.

Use a t ‑distribution table to determine the positive t ‑critical value needed to construct a 95 % confidence interval using a conservative estimate of the number of degrees of freedom. Enter the positive critical value precise to three decimal places.