Answer 1-3: Assume this as your target population. Suppose this data constitute a normal distribution. 156 182 154 146 160 156 160 139 162 137 158 145 155 157 150 152 165 149 150 171 162 144 141 156 148 165 157 167 154 169 167 162 166 163 154 129 166 153 164 156 152 160 160 155 162 167 147 160 168 142 135 145 146 150 169 156 186 155 158 156 144 160 148 175 153 157 152 150 158 157 151 165 163 159 173 145 162 157 150 152 144 138 168 158 159 141 161 160 151 163 161 168 164 165 164 139 161 136 173 163   Find the mean height and the population standard deviation. By simple random sampling, obtain a sample of 10 students. Compute the sample mean. Obtain the 90% confidence interval (CI) of the population mean using this sample. From the sample you obtain in (b), compute the 95% confidence interval of the population mean. What do you observe about the width of 90% CI compared 95% CI. Make a general statement on the margin error as confidence level increases.

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Answer 1-3:

  • Assume this as your target population. Suppose this data constitute a normal distribution.

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160

139

162

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129

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135

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  1. Find the mean height and the population standard deviation.
  2. By simple random sampling, obtain a sample of 10 students. Compute the sample mean. Obtain the 90% confidence interval (CI) of the population mean using this sample.
  3. From the sample you obtain in (b), compute the 95% confidence interval of the population mean. What do you observe about the width of 90% CI compared 95% CI. Make a general statement on the margin error as confidence level increases.
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