Note: For all hypothesis testing problems, please make sure that you write the hypotheses, calculate the p- value, and conclude the problem regarding the null hypothesis. 1. (8 points) The following data contains the number of friends on Facebook for an SRS of 20 Facebook users from a large university. 99 148 156 126 118 112 103 111 153 90 120 127 137 74 85 104 106 73 119 160 (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