Answer item 6 and 7: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?156182154146160156160139162137158145155157150152165149150171162144141156148165157167154169167162166163154129166153164156152160160155162167147160168142135145146150169156186155158156144160148175153157152150158157151165163159173145162157150152144138168158159141161160151163161168164165164139161136173163

Name: Answer item 6 and 7:The goal of this exercise is to observe the effect
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Description: Answer item 6 and 7: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

Describe how the distribution of sample means changes as sample size increases. What is the…

Answered: Describe how the distribution of sample…

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Answer item 6 and 7:

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.

1. 1. Find the population mean height of 100 senior high students.
  2. 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).
  3. Do all sample means from item b vary? How do these sample means compare to the population mean?
  4. Repeat (b) but this time take a sample of 20 individuals. How do these sample means compare to the population mean?
  5. Repeat (b) but this time take a sample of 35 individuals. How do these sample means compare to the population mean?
  6. Describe how the distribution of sample means changes as sample size increases.
  7. 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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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

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

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