Answer items 4-6: The goal of this exercise is to observe the effect of sampling by treating the 100 SHS students as target population and drawing random samples. The table below shows the height in centimeter of 100 senior high school students at Hope School of Fisheries. Find the population mean height of 100 senior high students. By simple random sampling, take a sample of 10 individuals and record the sample mean. Do this 5 times. That is, you will have a set of 5 sample means (point estimates). Do all sample means from item b vary? How do these sample means compare to the population mean? Repeat (b) but this time take a sample of 20 individuals. How do these sample means compare to the population mean? Repeat (b) but this time take a sample of 35 individuals. How do these sample means compare to the population mean? Describe how the distribution of sample means changes as sample size increases. What is the advantage of a larger sample size? 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
Answer items 4-6: The goal of this exercise is to observe the effect of sampling by treating the 100 SHS students as target population and drawing random samples. The table below shows the height in centimeter of 100 senior high school students at Hope School of Fisheries. Find the population mean height of 100 senior high students. By simple random sampling, take a sample of 10 individuals and record the sample mean. Do this 5 times. That is, you will have a set of 5 sample means (point estimates). Do all sample means from item b vary? How do these sample means compare to the population mean? Repeat (b) but this time take a sample of 20 individuals. How do these sample means compare to the population mean? Repeat (b) but this time take a sample of 35 individuals. How do these sample means compare to the population mean? Describe how the distribution of sample means changes as sample size increases. What is the advantage of a larger sample size? 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
Answer items 4-6: The goal of this exercise is to observe the effect of sampling by treating the 100 SHS students as target population and drawing random samples. The table below shows the height in centimeter of 100 senior high school students at Hope School of Fisheries. Find the population mean height of 100 senior high students. By simple random sampling, take a sample of 10 individuals and record the sample mean. Do this 5 times. That is, you will have a set of 5 sample means (point estimates). Do all sample means from item b vary? How do these sample means compare to the population mean? Repeat (b) but this time take a sample of 20 individuals. How do these sample means compare to the population mean? Repeat (b) but this time take a sample of 35 individuals. How do these sample means compare to the population mean? Describe how the distribution of sample means changes as sample size increases. What is the advantage of a larger sample size? 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
The goal of this exercise is to observe the effect of sampling by treating the 100 SHS students as target population and drawing random samples. The table below shows the height in centimeter of 100 senior high school students at Hope School of Fisheries.
Find the population mean height of 100 senior high students.
By simple random sampling, take a sample of 10 individuals and record the sample mean. Do this 5 times. That is, you will have a set of 5 sample means (point estimates).
Do all sample means from item b vary? How do these sample means compare to the population mean?
Repeat (b) but this time take a sample of 20 individuals. How do these sample means compare to the population mean?
Repeat (b) but this time take a sample of 35 individuals. How do these sample means compare to the population mean?
Describe how the distribution of sample means changes as sample size increases.
What is the advantage of a larger sample size?
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Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
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