1.(8 points) The following data contains the number of friends on Facebook for an SRS of 20 Facebook users from a large university.

9914815812611811210311115485120127137748510410672119160

(1)Manually compute the mean, standard deviation, standard error and margin of error for the 95% confidence interval.(Use R to find the appropriate critical t* value)

(2)Manually compute the 95% confidence interval for the mean number of friends on Facebook for Facebook users at this large university.