U Mobile Stay Safe 4G 21:18 0 0 88% 47 Back THE Data MATO144.... ID Age Educational Smoking Exercise Weight Serum Systolic 10 Sodium Gender Marital No Level Status cholesterol Pressure Status 01 27 120 193 126 118 136 M 02 18 0 145 210 120 105 137 M S 03 32 IN 0 118 196 128 115 135 F M 04 24 162 208 129 108 142 M M 05 19 106 188 119 106 133 F S 06 56 -NONO 0 143 206 136 111 138 F W 07 65 160 240 131 99 140 M W 08 36 0 215 215 163 106 151 M D 09 43 127 201 132 111 134 F M 10 47 132 215 138 109 135 F D 11 48 196 199 148 115 146 M D 12 25 109 210 115 114 141 F S 13 63 170 242 149 101 152 F D 14 37 187 193 142 109 144 M M 15 40 - NOO - -WOWN - 234 208 156 98 147 M M 16 25 199 253 135 103 148 M S 17 72 143 288 156 103 145 M A-NON-NOONONW 18 56 156 164 153 99 144 F D 19 37 142 214 122 110 135 M M 20 41 123 220 142 108 134 F M 21 33 165 194 122 112 137 M S 22 52 157 205 119 106 134 M D 23 44 121 223 135 116 133 F M 24 53 131 199 133 121 136 M 25 19 128 206 118 122 132 M S 26 25 143 200 118 103 135 M 27 31 152 204 120 119 136 M M 28 28 119 203 118 116 138 F M 29 23 111 240 120 105 135 S 30 47 149 199 132 123 136 M 31 47 179 235 131 113 139 M M 32 59 206 260 151 99 143 M W 33 36 191 201 148 118 145 M D 34 59 156 235 142 100 132 F W 35 35 122 232 131 106 135 M 36 29 175 195 129 121 148 M M 37 43 194 211 138 129 146 M M 38 44 132 240 130 109 132 F S 39 63 188 255 156 121 145 M WNN-HOMO - ON WW - N - HOWNO -OOO OOO HOWO - 40 36 125 220 126 117 140 F S 41 NWNO-NOTEN-- NENNEWNEONENNENN- 21 109 206 114 102 136 F M 42 31 112 201 116 123 133 M 43 57 167 213 141 103 143 M W 44 20 101 194 110 111 125 F S 45 24 106 188 113 114 127 D 46 42 148 206 136 107 140 M 47 55 170 257 152 106 130 F 48 23 152 204 116 95 142 M M 49 32 191 210 132 115 147 M M 50 28 148 222 135 100 135 M M 51 67 160 250 141 116 146 W 52 22 109 220 121 103 144 F M 53 19 131 231 117 112 133 M 54 25 153 212 121 119 149 M D 55 41 165 236 130 131 152 M M 56 24 112 205 118 100 132 F S 57 32 115 187 115 109 136 F S 58 50 173 203 136 126 146 M 59 32 186 248 119 122 149 M M - - NNWN 60 26 181 207 123 121 142 M 61 36 112 188 117 98 135 62 40 130 201 121 105 136Based on the contingency table, answer the following questions: (a) If 10 workers are selected at random, find the probability to obtain at least 4 workers are college graduate and serum cholesterol 206 mg% and below. (3 marks) (b) A worker is selected at random, find (i) P[(N UC) n H] (2 marks) (ii) P(L | A) and interpret the value. (2 marks) (c) Are the events "Graduate Degree" and "Serum Cholesterol 207 up to 249 mg%" independent? Justify your answer. (3 marks) (d) Suppose 30 workers are selected at random with replacement and the number of workers who have serum cholesterol reading of at least 250 mg% is recorded. (i) Explain why this is a binomial experiment. (3 marks) MAT0144 Semester 2, 2021/2022 (il) Find the probability that between 21 and 29 (inclusive) of workers selected do not have serum cholesterol reading of 250 mg% and above. (3 marks) (e) If 40 workers are randomly selected with replacement, how many of them would we expect to be college graduates? (1 mark) (f) Using a suitable approximation, calculate the probability that in a random sample of 60 workers taken with replacement, (i) fewer than 11 are graduate degree holders. (3 marks) (il) more than 20 of them have serum cholesterol reading of at most 206 mg%. (5 marks) 4. Suppose that the serum cholesterol readings of the female and male workers are approximately normally distributed. (a) Construct a 96% confidence interval for the population mean serum cholesterol reading of the female workers. (b) Construct a 96% confidence interval for the population mean serum cholesterol reading of the male workers. Interpret this interval. (c) Is there any significant difference between the mean serum cholesterol readings of the female and male workers? Justify your answer. (6 marks) 5. According to a report from a survey done in 2011, 10% of factory workers in Selangor had no high school degree. Does the data collected in the recent study above provide enough evidence to show that the proportion of factory workers in Selangor with no high school degree has increased? Test at 0.05 level of significance. (7 marks)U Mobile Stay Safe 4G 21:19 0 88% 47 Back THE_Data MATO144.... 51 67 0 160 250 141 116 146 F W 52 22 109 220 121 103 144 F M 53 19 131 231 117 112 133 M S 54 25 153 212 121 119 149 M D 55 41 IN 165 236 130 131 152 M M 56 24 0 3 112 205 118 100 132 E S 57 32 115 187 115 109 136 F S 58 50 173 203 136 126 146 M M 59 32 186 248 119 122 149 M M 60 26 181 207 123 121 142 M S 61 36 112 188 117 98 135 F D 62 40 130 201 121 105 136 F D 63 19 NON-WN- - - NNWN 132 237 115 111 137 S 64 37 179 228 141 127 141 F M 65 65 212 220 158 129 148 M M 66 21 99 191 117 103 131 S 67 25 128 195 120 121 131 F S 68 68 167 210 142 98 140 M W 69 18 121 198 123 113 136 F S 70 26 163 235 128 99 140 M M 71 45 185 229 125 101 143 M 72 44 130 215 128 128 137 M 73 50 142 232 135 104 138 M 74 166 271 143 103 147 W 75 48 163 203 131 103 144 M M MON- -OOMONNEWWOOO- -NOUNIN 76 27 147 186 118 114 134 M M 77 31 152 228 116 126 138 M D 78 28 112 197 120 123 133 M 79 36 B- NUNNNEWNNKNOW- 190 226 123 121 147 M M 80 43 179 252 127 131 145 M D 81 21 117 185 116 105 137 82 32 125 193 123 119 135 M 83 29 123 192 131 116 131 F D 84 49 185 190 129 127 144 M M 85 24 133 237 121 114 129 M M 86 36 163 195 115 119 139 M M 87 34 135 199 133 117 135 M 88 36 142 216 138 88 137 M 89 29 155 214 120 98 135 M 90 42 169 201 123 96 137 M D 91 41 DO - N - 136 214 133 102 141 D 92 29 112 205 120 102 130 F M 93 43 -- 185 208 127 100 143 M M 94 61 0 173 248 142 101 141 M M 95 21 106 210 111 105 131 F S 96 56 0 0 149 232 142 103 141 F M 97 63 192 193 163 95 147 M M 98 74 0 162 247 151 99 151 F W 99 35 0 151 251 147 113 145 F M 100 28 2 161 199 129 116 138 M 1. "Age" is given in years "Educational level" values are defined as follows: 0 = no high school degree 1 = high school graduate 2 = college graduate 3 = graduate degree 3. "Smoking status" values are defined as follows: 0 = does not smoke 1 = smokes less than one pack per day 2 = smokes one or more than one pack per day 4. "Exercise" values are defined as follows: 0 = none 1 = light 2 = moderate 3 = heavy 5. "Weight" is given in pounds. 6. "Serum cholesterol" is given in milligram percent (mg%). 7. "Systolic pressure" is given in millimeters of mercury (mm Hg). 8. "IQ" is given in standard 1Q test score values. 9. "Sodium" is given in milliequivalents per liter (mEq/1). 10. "Gender" is listed as male (M) or female (F) 1 1. " Marital status" values are defined as follows: M = married S = single W = widowed D = divorced