he 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 n centimeter of 100 senior high school students at Hope School of Fisheries. a. Find the population mean height of 100 senior high students. b. 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). c. Do all sample means from item b vary? How do these sample means compare to the population mean? d. Repeat (b) but this time take a sample of 20 individuals. How do these sample means compare to the population mean? e. Repeat (b) but this time take a sample of 35 individuals. How do these sample means compare to the population mean? f. Describe how the distribution of sample means changes as sample size increases. g. What is the advantage of a larger sample size? 156 182 154 146 160 156 160 139 162 137 158 145 155 157 150 152 165 149 150 171 162 144 141 156 148 165 157 167 154 169 167 162 166 163 154 129 166 153 164 156 152 160 160 155 162 167 147 160 168 142 135 145 146 150 169 156 186 155 158 156 144 160 148 175 153 157 152 150 158 157 151 165 163 159 173 145 162 157 150 152 144 138 168 158 159 141 161 160 151 163 161 168 161 126 164 165 164 120 172 163

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.
a. Find the population mean height of 100 senior high students.
b. 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).
c. Do all sample means from item b vary? How do these sample means compare to the population mean?
d. Repeat (b) but this time take a sample of 20 individuals. How do these sample means compare to the population mean?
e. Repeat (b) but this time take a sample of 35 individuals. How do these sample means compare to the population mean?
f. Describe how the distribution of sample means changes as sample size increases.
g. 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
Transcribed Image Text: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. a. Find the population mean height of 100 senior high students. b. 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). c. Do all sample means from item b vary? How do these sample means compare to the population mean? d. Repeat (b) but this time take a sample of 20 individuals. How do these sample means compare to the population mean? e. Repeat (b) but this time take a sample of 35 individuals. How do these sample means compare to the population mean? f. Describe how the distribution of sample means changes as sample size increases. g. 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
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