Show all work including steps used during computations suing formulas and diagrams when appropriate. statement explaining the meaning of your computations (conclusions) for all problems- hypothesis tests and confidence intervals

A pharmaceutical company is testing a new cold medicine to determine if the drug has side effects. To test the drug, 7 patients are given the drug and 8 patients are given a placebo (sugar pill). The change in pulse rate (beats per minute) after taking the pill was as follows: Given drug: 3 7 3 6 2 5 5 Given placebo: 2 4 1 1 3 0 2 3 Test to determine if the drug raises patients' pulse rate more than the placebo using = 0.025