A new post-surgical treatment is being compared with a standard treatment. Seven subjects receive the new treatment, whi

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A new post-surgical treatment is being compared with a standardtreatment. Seven subjects receive the new treatment, while sevenothers (the controls) receive the standard treatment. The recoverytimes (in days) are given below.
Do the data suggest that the average recovery time for the newtreatment is shorter than that for the standard treatment by morethan 2 days? (You may assume that the two populations have equalvariance.)
a) Write down the null and alternative hypotheses
b) Write down the value of the test statistic
c) Calculate the p-value of the test
d) Does the new treatment shorten the average recovery time bymore than 2 days when compared to the standard treatment? What isyour conclusion at 1% level of significance