Performance Task Instruction: Determine whether the following statements has a known or unknown population variance and write your answer on the second column. Identify also the formula to be used to estimate the standard error of the mean by writing the symbol đg, when the population variance is known and the symbol Sz when the population variance is unknown. Situation Answer Standard Error Formula 1. Hereza Start is an enrichment program for Grade 11 SHS students. The program's heads would like to know the mean intelligence (1Q) of its participants. They know that IQ has standard deviation of 15 points. They take a random sample of 20 students and administer IQ tests. These are the scores:98, 82, 100, 102, 78, 79, 95, 89, 90, 99, 105, 103, 93, 99, 101, 89, 102, 76, 91, 100. 2. Given the following values: ¥ 110, s = 6, n = 16, H= 102, and o =7 3. Joel administered a mathematics achievement test to a random sample of 40 Grade 10 students. In this sample, he obtained the mean and variance to 89 and 81 respectively. The population mean is 85. 4. A random sample of 100 school heads were administered a Management Skills Test. The sample mean and the variance were 81 and 26.98. In the standardization test, the mean was 79 and the standard deviation was 7. 5. A finite population composed of eight items whose values are 9, 3, 12, 7, 8, 11, 15 and 10. Samples of 4 items are drawn at random without replacement.

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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Performance Task
Instruction: Determine whether the following statements has a known or unknown population variance
and write your answer on the second column. Identify also the formula to be used to estimate the
standard error of the mean by writing the symbol og, when the population variance is known and the
symbol Sz when the population variance is unknown.
Standard Error
Formula
Situation
Answer
1. Hereza Start is an enrichment program for Grade
11 SHS students. The program's heads would like to
know the mean intelligence (IQ) of its participants.
They know that IQ has standard deviation of 15
points. They take a random sample of 20 students
and administer IQ tests. These are the scores:98, 82,
100, 102, 78, 79, 95, 89, 90, 99, 105, 103, 93, 99,
101, 89, 102, 76, 91, 100.
2. Given the following values: ¥ 110, s = 6, n = 16,
u= 102, and o =7
3. Joel administered a mathematics achievement test
to a random sample of 40 Grade 10 students. In this
sample, he obtained the mean and variance to 89 and
81 respectively. The population mean is 85.
4. A random sample of 100 school heads were
administered a Management Skills Test. The sample
mean and the variance were 81 and 26.98. In the
standardization test, the mean was 79 and the
standard deviation was 7.
5. A finite population composed of eight items whose
values are 9, 3, 12, 7, 8, 11, 15 and 10. Samples of 4
items are drawn at random without replacement.
Transcribed Image Text:Performance Task Instruction: Determine whether the following statements has a known or unknown population variance and write your answer on the second column. Identify also the formula to be used to estimate the standard error of the mean by writing the symbol og, when the population variance is known and the symbol Sz when the population variance is unknown. Standard Error Formula Situation Answer 1. Hereza Start is an enrichment program for Grade 11 SHS students. The program's heads would like to know the mean intelligence (IQ) of its participants. They know that IQ has standard deviation of 15 points. They take a random sample of 20 students and administer IQ tests. These are the scores:98, 82, 100, 102, 78, 79, 95, 89, 90, 99, 105, 103, 93, 99, 101, 89, 102, 76, 91, 100. 2. Given the following values: ¥ 110, s = 6, n = 16, u= 102, and o =7 3. Joel administered a mathematics achievement test to a random sample of 40 Grade 10 students. In this sample, he obtained the mean and variance to 89 and 81 respectively. The population mean is 85. 4. A random sample of 100 school heads were administered a Management Skills Test. The sample mean and the variance were 81 and 26.98. In the standardization test, the mean was 79 and the standard deviation was 7. 5. A finite population composed of eight items whose values are 9, 3, 12, 7, 8, 11, 15 and 10. Samples of 4 items are drawn at random without replacement.
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