Run the independent 2-sample t-test we discussed in class, using Excel or R or any other software of your choice. The CSV file you need is available for download alongside this file. The null hypothesis is that both medicines are equally effective in bringing down body temperature. a) Write down the null and alternate hypotheses.[1 point] b) Run the test in XL. Based on the p-value reported by XL, comment on whether the null hypothesis can be rejected. [1 point] c) Calculate the pooled variance . Show your calculation. Compare your answer with the pooled variance being reported by XL. [1 point] d) [OPTIONAL, free credit] Calculate the t-statistic and compare with the value reported by XL. Show your calculation. [1 point] e) Compare the t-statistic with with t-critical as reported by XL, and com- ment on whether you have enough evidence to reject the null hypothesis.[1 point] Attach or submit your XL sheet and highlight the numbers from XL that you are reporting. (If you do not do this, you will get no credit for this question). 1