Problem 6 Do embryonic stem cells (ESCs) help improve heart function following a heart attack? The table below gives summary statistics for an experiment to test ESCs in sheep that had a heart attack. Each of these sheep was randomly assigned to the ESC or control group, and the change in their hearts' pumping capacity was measured. A positive value generally corresponds to increased pumping capacity, which suggests a stronger recovery. ESCs 3.50 5.17 control 9 -4.33 2.76 '0 (a) Set up hypotheses to test whether there is convincing evidence that ESCs actually increase the amount of blood pumped. (b) Check conditions for using the t distribution for inference. (c) Evaluate the hypotheses in (a) by conducting a hypothesis test at a significance level of 0.005. (d) Create a 99% confidence interval for the mean improvement clue to ESCs