3: One and Two Sample Methods (75 points) For this project, we will use a subset of the North Carolina birth data set. The data set ncbirth200.sav is a random sample of 200 births from the data set ncbirth1450.sav. When doing this assignment, make sure you are working with the data set with only 200 observations! Please upload your assignment in an Excel document with one tab per question. Variable Label plurality sex mage weeks marital racemom hispmom prewght pst6wght smoke drink tounces tgrams low premie Description Number of children born of the pregnancy (1=1 child, 2=twins, 3=triplets) Sex of child (1=Male, 2=Female) Age of mother (years) Completed Weeks of Gestation (weeks) Marital status (1=married, 2=not married) Race of Mother (0=Other Non-white, 1=White, 2=Black 3=American Indian, 4=Chinese, 5=Japanese, 6=Hawaiian, 7=Filipino, 8=Other Asian or Pacific Islander) Mother of Hispanic origin (C=Cuban, M=Mexican, N=Non-Hispanic, O=Other and Unknown Hispanic, P=Puerto Rican, S=Central/South American, U=Not Classifiable) Mother's reported weight prior to pregnancy (pounds) Mother's reported weight 6 months after giving birth 0=mother did not smoke during pregnancy 1=mother did smoke during pregnancy 0=mother did not consume alcohol during pregnancy 1=mother did consume alcohol during pregnancy Weight of child (ounces) Weight of child (grams) 0=infant was not low birth weight 1=infant was low birth weight 0=infant was not premature 1=infant was premature defined at 36 weeks or sooner 1. Create a 95% confidence interval for the variable weeks. You must give both the upper and lower limits. (10 points) a. According to the American Association of Obstetrics and Gynecology, the ideal length of a pregnancy is 39 weeks. Did the women in the sample differ from this value? Use the 95% confidence interval to answer this question. (5 points) 2. Create a 95% confidence interval for the variable low. You must give both the upper and lower limits. (10 points) a. Nationally, the incidence of low birth weight infants is 6%. Is the incidence of low birth weight infants in North Carolina different than that? Use the 95% confidence interval to answer this question. (5 points) 3. Maintaining a healthy weight is important for women's health. Some physicians recommend being back to your pre-pregnancy weight six months after giving birth. Public health officials are interested in whether this is a realistic goal. Do the women in North Carolina weigh more than their pre-pregnancy weight six months postpartum? In other words, is the six months post-pregnancy weight greater than their pre-pregnancy weight? Use a paired samples t-test to compare pst6wght (variable 1) and prewght (variable 2). This uses pst6wght-prewght. (15 points) 4. In recent years, the number of women having children while unmarried has increased substantially in the United States. This is also the case in North Carolina, and some public health officials in the state are concerned that unmarried women have poorer birth outcomes. They think married women have longer periods of gestation and higher birth weight infants then women who are unmarried. Determine if there is sufficient evidence to support this theory by a.) comparing married and unmarried women on the variable weeks and b.) comparing married and unmarried women on the variable tounces using independent sample t-tests. Assume that the variances across married and unmarried women are equal. (30 points) For each of the t-tests in #3 and #4: 1. Set-up hypotheses and significance level (2 points per variable) 2. Set-up decision rule (2 points per variable) 3. Compute test statistic (9 points per variable) 4. Conclusions (2 points per variable) PLURAL SEX 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 MAGE 1 1 2 2 2 2 1 1 1 2 1 2 2 1 2 2 2 2 1 1 1 1 1 1 2 1 1 1 1 2 1 1 2 1 1 1 1 2 2 1 1 1 2 2 2 1 1 1 2 1 1 1 1 1 1 1 1 2 1 2 1 2 1 1 2 2 1 1 1 1 1 1 1 1 2 2 2 2 1 2 2 1 2 1 2 2 2 1 2 2 1 2 1 2 2 WEEKS 21 25 40 15 17 34 29 27 38 17 22 21 25 30 23 31 22 24 15 33 15 25 31 19 15 37 32 30 27 16 19 28 31 29 36 30 32 24 16 34 23 20 20 25 39 25 36 36 26 23 26 34 23 27 25 21 40 28 29 32 22 19 28 26 34 20 28 28 26 21 38 28 42 30 37 19 23 31 25 21 26 32 33 34 27 22 38 22 35 22 22 41 16 26 20 MARITAL 37 41 40 35 38 40 39 33 41 42 41 41 45 40 39 38 40 38 41 40 40 34 38 40 41 40 39 35 36 36 39 39 43 42 40 37 39 45 38 37 40 37 38 37 40 38 37 37 34 39 35 40 39 31 34 37 42 36 43 39 39 41 33 39 36 38 40 38 40 39 40 40 35 38 36 40 40 44 40 38 38 38 38 37 36 40 39 38 23 41 37 37 41 42 38 1 2 1 2 1 1 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 1 1 2 1 1 1 1 2 2 1 1 1 1 1 1 1 2 1 2 1 2 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 2 1 1 2 2 1 1 1 2 2 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 2 1 2 1 2 RACEMOM HISPMOM 2P 2N 1N 1M 1N 1N 1N 2N 1N 1M 1N 2N 1N 1N 1N 1N 2N 1N 2N 1N 2N 1N 2N 2N 1N 1N 1N 1N 1N 1N 1N 1N 1N 1N 1N 2N 1N 8N 2N 1N 1N 1M 2N 2N 1N 1N 1N 1N 1N 2N 1N 1N 1N 1N 1M 2N 1N 2N 1N 1N 2N 2N 1N 1M 2N 1N 1N 1N 1M 1N 2N 1N 2N 1N 1M 1N 2N 1N 2N 1M 1M 1N 1N 1N 1N 1N 1N 2N 1N 1N 2N 1N 2N 1N 2N PREWGHT PST6WGHT SMOKE 180 195 99 125 204 195 126 130 135 140 107 130 144 144 107 117 120 125 225 190 139 135 221 210 187 190 158 185 123 136 200 204 140 146 127 124 140 141 134 132 134 137 210 201 110 115 192 191 123 141 163 165 148 149 105 115 217 218 222 204 222 221 182 195 111 115 222 203 159 161 217 203 157 149 123 125 194 195 206 201 171 172 116 119 108 125 113 124 206 193 220 201 148 145 123 124 160 167 103 118 203 201 168 154 117 123 197 186 191 195 98 113 223 225 166 189 171 201 223 225 115 131 134 154 111 141 105 107 167 171 131 135 150 152 107 137 114 129 214 249 188 187 146 148 212 213 150 149 203 205 217 204 207 220 198 192 113 133 99 124 131 166 125 142 169 168 163 164 154 157 128 143 174 191 203 201 219 198 100 106 101 104 118 124 182 181 184 175 119 121 DRINK 1 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 TOUNCES TGRAMS LOW 109 3,090.15 141 3,997.35 110 3,118.50 120 3,402.00 129 3,657.15 143 4,054.05 145 4,110.75 66 1,871.10 113 3,203.55 105 2,976.75 137 3,883.95 105 2,976.75 108 3,061.80 133 3,770.55 113 3,203.55 148 4,195.80 94 2,664.90 111 3,146.85 114 3,231.90 125 3,543.75 115 3,260.25 94 2,664.90 116 3,288.60 145 4,110.75 114 3,231.90 143 4,054.05 145 4,110.75 85 2,409.75 103 2,920.05 85 2,409.75 119 3,373.65 134 3,798.90 114 3,231.90 116 3,288.60 123 3,487.05 101 2,863.35 108 3,061.80 133 3,770.55 97 2,749.95 99 2,806.65 123 3,487.05 124 3,515.40 93 2,636.55 101 2,863.35 136 3,855.60 116 3,288.60 128 3,628.80 119 3,373.65 55 1,559.25 131 3,713.85 114 3,231.90 138 3,912.30 118 3,345.30 91 2,579.85 131 3,713.85 73 2,069.55 136 3,855.60 106 3,005.10 125 3,543.75 142 4,025.70 115 3,260.25 107 3,033.45 66 1,871.10 122 3,458.70 95 2,693.25 116 3,288.60 118 3,345.30 113 3,203.55 123 3,487.05 92 2,608.20 127 3,600.45 121 3,430.35 94 2,664.90 122 3,458.70 79 2,239.65 110 3,118.50 126 3,572.10 111 3,146.85 94 2,664.90 134 3,798.90 121 3,430.35 135 3,827.25 121 3,430.35 103 2,920.05 83 2,353.05 109 3,090.15 131 3,713.85 117 3,316.95 23 652.05 113 3,203.55 95 2,693.25 112 3,175.20 126 3,572.10 126 3,572.10 120 3,402.00 PREMIE 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 3 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2 1 1 2 2 2 2 1 1 2 2 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2 1 2 2 1 2 2 1 1 1 1 1 2 1 2 1 2 1 2 2 2 1 2 2 1 2 1 2 2 1 1 1 1 2 1 2 1 1 1 1 2 2 1 2 1 2 1 1 2 2 2 2 1 1 2 2 1 1 1 2 2 2 1 1 2 1 1 1 24 27 29 20 23 25 28 32 28 23 30 30 31 37 23 20 29 24 20 37 32 19 20 30 24 30 41 20 30 35 37 22 26 35 25 21 22 32 17 30 34 22 28 30 20 29 24 16 33 18 30 35 22 30 24 18 20 17 19 24 18 27 32 29 19 25 28 26 16 24 29 31 17 22 30 19 19 29 21 29 28 20 33 27 19 29 35 24 18 33 24 18 19 23 34 26 39 40 37 38 38 43 39 38 41 43 40 39 40 40 40 28 40 41 38 37 38 25 38 45 36 41 40 37 36 38 25 40 39 41 39 39 39 40 39 39 32 37 39 40 39 45 38 39 38 39 40 39 42 39 40 41 40 39 41 36 36 40 40 39 31 36 35 28 41 38 40 38 39 40 41 37 38 38 38 43 41 40 39 40 39 39 38 40 36 38 43 36 35 40 40 39 1 1 2 2 1 1 2 1 1 2 1 1 1 2 2 1 1 1 2 1 1 2 2 1 1 1 1 2 1 1 1 1 1 2 1 1 2 1 2 1 2 1 1 1 2 2 1 2 1 2 1 1 2 1 2 1 2 2 2 2 2 1 1 1 2 1 2 2 2 1 1 1 2 1 1 2 1 1 2 1 1 2 1 2 2 1 1 2 2 1 1 2 2 1 1 1 1N 1N 2N 2N 1N 2N 1N 1N 1N 2N 3S 2N 1N 1M 1N 1N 1N 1N 1N 1N 1N 2N 1N 1N 1N 1N 1N 2N 1N 1N 1N 1N 1N 1N 1N 1N 2N 1N 1N 4N 1N 1N 2N 1N 2N 2N 2N 1N 1N 1N 1N 1M 1N 1N 1M 1N 2N 1N 2N 2N 2N 1M 1N 3N 1N 1N 2N 1N 1N 1N 1N 2N 2N 1N 1N 3N 1N 2N 1N 1N 1N 3N 1N 1N 3N 1N 1N 2N 1M 1N 2N 1N 1N 1N 1N 1N 113 181 99 176 136 187 134 180 189 198 205 224 215 137 105 111 124 156 147 124 199 146 219 158 155 153 214 176 173 209 162 176 159 114 166 118 209 149 125 151 147 101 182 155 177 168 119 115 107 101 196 203 147 115 113 144 112 179 124 120 185 126 115 147 126 205 136 206 212 160 225 139 124 153 184 148 182 111 101 182 144 207 127 185 121 170 123 146 163 119 221 208 137 195 211 204 113 185 119 210 145 184 136 181 191 195 205 201 216 138 108 119 121 186 156 128 195 147 215 165 158 152 215 208 185 211 165 165 162 119 154 118 210 157 158 196 148 102 189 163 178 186 121 116 108 111 194 201 157 128 121 149 125 185 125 126 195 154 121 156 146 210 145 208 204 160 252 137 145 139 181 154 185 124 106 191 145 204 127 199 143 174 136 152 178 125 229 203 145 201 242 235 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 96 141 120 98 104 126 111 113 136 114 142 121 126 133 127 39 115 122 113 134 149 22 118 134 105 132 136 115 81 123 25 108 138 148 115 75 134 117 107 135 69 160 115 118 145 122 109 75 114 132 138 117 77 104 96 111 139 123 115 128 98 133 111 136 72 129 126 51 112 117 115 110 110 113 147 123 113 121 122 136 121 112 115 129 118 127 140 110 93 121 123 112 95 117 117 146 2,721.60 3,997.35 3,402.00 2,778.30 2,948.40 3,572.10 3,146.85 3,203.55 3,855.60 3,231.90 4,025.70 3,430.35 3,572.10 3,770.55 3,600.45 1,105.65 3,260.25 3,458.70 3,203.55 3,798.90 4,224.15 623.70 3,345.30 3,798.90 2,976.75 3,742.20 3,855.60 3,260.25 2,296.35 3,487.05 708.75 3,061.80 3,912.30 4,195.80 3,260.25 2,126.25 3,798.90 3,316.95 3,033.45 3,827.25 1,956.15 4,536.00 3,260.25 3,345.30 4,110.75 3,458.70 3,090.15 2,126.25 3,231.90 3,742.20 3,912.30 3,316.95 2,182.95 2,948.40 2,721.60 3,146.85 3,940.65 3,487.05 3,260.25 3,628.80 2,778.30 3,770.55 3,146.85 3,855.60 2,041.20 3,657.15 3,572.10 1,445.85 3,175.20 3,316.95 3,260.25 3,118.50 3,118.50 3,203.55 4,167.45 3,487.05 3,203.55 3,430.35 3,458.70 3,855.60 3,430.35 3,175.20 3,260.25 3,657.15 3,345.30 3,600.45 3,969.00 3,118.50 2,636.55 3,430.35 3,487.05 3,175.20 2,693.25 3,316.95 3,316.95 4,139.10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 1 2 1 35 17 24 16 17 18 31 32 32 39 44 37 38 40 40 38 38 39 1 1 1 2 2 2 1 1 1 1N 1M 1N 1M 2N 2N 1N 1N 1N 98 136 144 136 153 175 160 183 156 105 135 142 139 175 165 168 181 159 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 115 112 120 95 118 126 126 105 134 3,260.25 3,175.20 3,402.00 2,693.25 3,345.30 3,572.10 3,572.10 2,976.75 3,798.90 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0