In 1961, the Child Health and Development Studies (CHDS) collected data on the births of over a thousand infants to determine a possible connection between infants' birthweights and parental smoking. The data provided are a subset of this data set, and they include each infant's birth weight inounces.

"BirthWeightounces" 112 87 116 91 105 115 97 145 120 124 117 102 113 118 108 122 138 128 133 125 116 128 101 134 128 126 135 113 132 126 137 124 126 112 132 143 110 137 131 110 110 92 132 85 131 75 131 136 122 139 75 147 119 128 120 104 114 105 116 103 143 110 124 127 108 122 134 128 84 130 97 86 129 110 124 116 125 113 117 117 119 115 144 99 78 135 124 128 101 111 125 104 174 115 105 114 119 110 69 102 121 134 106 123 109 127 145 117 118 129 85 138 121 130 176 130 116 133 139 122 75 116 121 130 119 103 101 144 106 129 134 121 126 115 120 127 86 114 124 124 94 119 142 137 131 96 112 132 113 117 135 110 79 136 99 104 128 142 96 143 108 102 115 130 125 126 104 135 139 143 128 132 110 117 108 144 153 131 113 139 128 114 156 123 135 65 126 97 128 112 110 129 140 152 110 129 125 158 116 146 147 117 71 125 110 107 127 144 110 155 131 123 117 127 141 102 159 133 82 152 114 117 134 123 145 126 119 121 116 120 95 98 119 117 118 150 113 134 128 123 105 155 112 77 174 133 122 117 132 126

Suppose researchers wish to determine if the mean birth weight of infants in 1961 is significantly lower than the historical average, 122 ounces. Suppose the population standard deviation of birth weights is equal to 19 ounces.

calculate the sample mean for the data. Then, conduct a onesample ztest to test the researchers' hypothesis at the =0.05 level. What are the standard error (SE), the zstatistic, and the zcritical value for this test

Please round all answers to the nearest three decimal places.