Figure 6.4b (p. 172) plotted the sampling distribution of the mean from 200 samples of size 5 from the population of 1000 birthweights given in Table 6.2. The mean of the 1000 birthweights in Table 6.2 is 112.0 oz with standarddeviation 20.6 oz.A) If the central-limit theorem holds, what proportion of the sample means should fall within 0.5 lb of the population mean (112.0 oz)?B) Answer Problem 6.52 for 1 lb rather than 0.5 lb.C) Compare your results in Problems 6.52 and 6.53 with the actual proportion of sample means that fall in these ranges.D) Do you feel the central-limit theorem is applicable for samples of size 5 from this population? Explain. TABLE 6.2Sample of birthweights (oz) obtained from 1000 consecutivedeliveries at Boston City HospitalID0 1 2 3 4 5 6 7 8 9 10 11 12Numbers13 14 15 16 17 18 19000-019116 124 119 100 127 103 14082 107 132 1009276 129 138 128 115 133 70 121020-039114 114 121 107 120 1238396 116 1107186 136 118 120 110 107 1578971040-05998 105 10652 123 101 111 130 12994 124 127 128 1128395 118 11586 120060-079106 115 100 107 131 114 121 110 11593 11676 138 126 14393 121 13581 135080-099108 152 127 118 110 115 109 133 116 129 118 126 137 11032 139 132 110 140 119100-119109 108 1038887 144 105 138 115 104 129 10892 100 14593 11585 124 123120-13914196 146 115 124 11398 110 153 165 140 13279 101 127 137 129 144 126 155140-159120 128 119 108 11393 144 12489 12687 1209960 11586 14397 106 148160-179113 135 117 129 120 11792 11880 132 121 11957 126 12677 135 130 102 107180-199115 135 112 12189 135 127 115 1336491 1267885 10694 122 111 10989200-21999 118 104 10294 113 124 118 104 124 13380 117 112 112 112 102 118 107 104220-23990 113 132 12289 111 118 108 148 103 112 12886 111 140 126 143 120 124 110240-25914292 132 12897 13299 131 120 106 115 101 130 120 13089 107 15290 116260-279106 111 120 198 123 152 13583 10755 131 108 100 104 112 121 102 114 102 101280-299118 114 112 133 139 11377 109 142 144 114 117979693 120 149 107 107 117300-31993 103 121 118 11089 127 100 156 106 122 10592 128 124 125 118 113 110 149320-3399898 141 13192 141 110 1349088 111 1376795 10275 108 11899 79340-359110 124 122 104 13398 108 125 106 128 13295 11467 134 136 138 122 103 113360-379142 121 125 11197 127 117 122 12080 114 126 10398 108 100 10698 116 109380-3999897 129 114 102 128 107 11984 117 119 128 121 113 128 111 112 120 1229190400-419117 100 108 101 144 104 110 146 117 107 126 120 104 129 147 111 106 13897420-439120 11794 116 119 108 109 106 134 121 125 105 177 109 109 10979 11892 103440-45911095 111 144 130839381 116 115 131 135 11697 108 103 134 14072 112460-479101 111 129 128 10890 11399 10341 129 104 144 12470 106 118998593480-499100 105 104 113 10688 102 125 132 123 160 100 128 13149 102 110 10696 116500-519128 102 124 110 129 102 101 119 101 119 141 112 100 105 155 1246794 134 123520-539925617 135 141 105 133 118 117 1128792 104 104 132 121 118 126 11490540-55910978 117 165 127 122 108 109 11998 120 1019676 14383 100 128 124 137560-57990 12989 125 131 11872 12191 11391 137 110 137 111 135 10588 112 104580-599102 122 144 114 120 136 14498 108 130 11997 142 115 129 125 109 103 114 106600-619109 1198998 104 11599 138 12291 16196 138 14032 132 10892 11858620-639158 127 12175 112 121 14080 12573 115 12085 10495 106 1008799 113640-65995 146 12658 64 1376990 104 124 120628396 126 155 133 115 97 105660-67911778 10599 12386 126 121 10997 131 133 121 125 12097 10192 111 119680-69911780 145 128 14097 126 109 113 125 15797 119 103 102 128 11696 109 112700-71967 121 116 126 106 11677 119 119 122 109 117 127 114 1027588 11799 136720-739127 136 10397 130 129 128 11922 109 145 12996 128 122 115 102 127 109 120740-759111 114 115 112 146 100 106 137 48 110 97 103 104 107 12387 14089 112 123760-779130 123 125 124 135 11978 125 103556983 106 130988192 110 112 104780-799118 107 117 123 138 130 10078 146 137 11461 132 109 133 132 120 116 133 133800-81986 116 101 124 1269493 132 126 10798 102 13559 137 120 119 106 125 122820-839101 1199786 105 14089 13974 131 1189198 121 102 115 115 135 10090840-859110 113 136 140 129 117 117 129 14388 105 110 123879799 128 128 110 132860-87978 128 12693 148 12195 121 12780 109 105 136 141 10395 140 115 118 117880-899114 109 144 119 127 116 103 144 117 13174 109 117 100 103 12393 107 113 144900-91999 17097 135 11589 120 106 141 137 107 132 13258 113 102 12098 104 108920-93985 115 1088988 126 122 10768 121 113 116948593 132 14698 132 104940-959960-979102 116 108 107 121 132 105 114 107 121 101 110 137 122 102 125 104 124 121 11110193938872 142 118 157 1215892 114 104 1199152 110 116 100 147980-99911499 123977981 14692 126 12272 1539789 100 104 1248381 129 138 8 8 8 8 9 9 9 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10 2 4 6 8 0 2 4 6 8 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 40 2 4 6 8 0 2 4 6 8 0 2 4 6 8 0 2 4 6 8 0(b) n = 5Birthweight (b) in oz% of samples with birthweight = b으2109876543210

Name: Figure 6.4b (p. 172) plotted the sampling distribution of the mean fro
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Description: Figure 6.4b (p. 172) plotted the sampling distribution of the mean from 200 samples of size 5 from the population of 1000 birthweights given in Table 6.2. The mean of the 1000 birthweights in Table 6.2 is 112.0 oz with standarddeviation 20.6 oz.A) If