2 - STAT 3360 - FALL 2015 DUE BY SEPTEMBER 8 PLEASE, SUBMIT THIS DOCUMENT AND TYPE YOUR FIRST AND LAST NAME! SECTION [CIRCLE ONE! =>] FIRST NAME 001 002 LAST NAME 501 PART 1 [CHAPTER 3] [40 POINTS = 10 + 10 + 10 + 5 + 5] ASSUME THAT RECORDS OF A RANDOM VARIABLE X ARE COLLECTED AS A SAMPLE. THESE RECORDS PRESENT THE POLICY QUARTERLY PREMIUM AMOUNTS (MEASURED IN $$) FOR n = 29 POLICY HOLDERS INSURED BY A LARGE INSURANCE COMPANY. ENTER THESE NUMBERS INTO EXCEL DOCUMENT AND ARRANGE THEM IN ASCENDING ORDER BEFORE ANSWERING QUESTIONS! ID 1 2 3 4 5 6 7 8 9 10 PREMIUM 256 300 304 220 235 225 261 275 219 267 ID 11 12 13 14 15 16 17 18 19 20 PREMIUM 260 277 250 265 297 237 238 219 298 240 ID 21 22 23 24 25 26 27 28 29 PREMIUM 119 112 215 161 119 237 205 231 244 A. B. FIND THE COUNTS AND RELATIVE FREQUENCES (IN REGULAR FRACTION FORM) OF RECORDS INSIDE INTERVALS: [110 X < 145], [145 X < 180], [180 X < 215], [215 X < 250], [250 X < 285], AND [285 X < 310]. (PAY ATTENTION TO THE INEQUALITY SIGNS, PLEASE!) BASED ON YOUR FINDINGS, SKETCH THE HISTOGRAM FOR THE PREMIUM VALUES THAT FALL WITHIN THE INTERVALS SHOWN ABOVE. C. WHAT PROPORTION OF PREMIUM VALUES IS BETWEEN $220 AND $250 (INCLUDING THE END-POINTS)? D. WHAT IS THE PROPORTION OF PREMIUM VALUES IN THE RANGE OF $240 OR HIGHER? SHOW THE ANSWER AS A REGULAR FRACTION, PLEASE! E. HOW MANY INSUREES PAY BELOW $260? SHOW THE COUNT, PLEASE! 1 HOMEWORK 2 - STAT 3360 - FALL 2015 DUE BY SEPTEMBER 8 PLEASE, SUBMIT THIS DOCUMENT AND TYPE YOUR FIRST AND LAST NAME! PART 2 [CHAPTER 4] [30 POINTS = 5+5+5+5+5+5] CONTINUE WITH THE SAME DATA AS IN THE PREVIOUS PART. A. FIND THE MEDIAN AND RANGE FOR THIS DATA SET. MEDIAN = RANGE = B. DETERMINE THE LOWER AND UPPER QUARTILES. LOWER QUARTILE = UPPER QUARTILE = C. FIND THE INTERQUARTILE RANGE. INTER-QUARTILE RANGE = D. SKETCH THE BOX PLOT FOR THIS DATA SET. E. WHICH WHISKER ON THE BOX PLOT IS WIDER? (LEFT) - OR (RIGHT)? CIRCLE THE CORRECT ANSWER, PLEASE! F. WHICH OF THE TWO QUARTILES IS CLOSER TO THE MEDIAN? (LOWER) - OR (UPPER)? CIRCLE THE CORRECT ANSWER, PLEASE! 2 HOMEWORK 2 - STAT 3360 - FALL 2015 DUE BY SEPTEMBER 8 PLEASE, SUBMIT THIS DOCUMENT AND TYPE YOUR FIRST AND LAST NAME! PART 3 [CHAPTER 4] [30 POINTS = 5+5+5+5+5+5] CONTINUE WITH THE SAME DATA AS IN THE 1ST AND 2ND PARTS. ANALYZE WHAT WOULD HAPPEN IF TWO RECORDS (X21 = 119 AND X23 = 215) WERE REMOVED FROM THE SAMPLE. A. FIND THE MEDIAN AND RANGE FOR THIS DATA SET. MEDIAN = RANGE = B. DETERMINE THE LOWER AND UPPER QUARTILES. LOWER QUARTILE = UPPER QUARTILE = C. FIND THE INTERQUARTILE RANGE. INTER-QUARTILE RANGE = D. SKETCH THE BOX PLOT FOR THIS DATA SET. E. WHICH WHISKER ON THE BOX PLOT IS WIDER? (LEFT) - OR (RIGHT)? CIRCLE THE CORRECT ANSWER, PLEASE! F. WHICH OF THE TWO QUARTILES IS CLOSER TO THE MEDIAN? (LOWER) - OR (UPPER)? CIRCLE THE CORRECT ANSWER, PLEASE! PARTS MAXIMUM 1 40 2 30 3 30 TOTAL 100 POINTS 3