Use the values in the table below, which represent the heights (in centimeters) of 36 randomly selected students from QMETH 201, this quarter, to answer Parts a) through d): 175 179 166 176 169 165 170 188 182 166 168 175 187 192 171 161 172 180 194 164 162 183 193 172 175 180 170 176 158 182 182 179 164 169 175 180 a) Estimate, with 95% confidence, the proportion of all students enrolled in QMETH 201, this quarter, who are at least 180cm tall. (1 point) b) How would the width of the interval in Part a) change if you wanted to be 99% confident, holding all other values/ideas constant? (0.5 point) c) For the 36 students in the sample, calculate the mean height (in centimeters) and the sample standard deviation. (Use MS Excel to perform calculations.) Then estimate, with 98% confidence, the mean height (in cm) for all students enrolled in QMETH 201, this quarter. (1 point