1. What is the relationship between the mean of the population and the mean of the sampling distribution of the sample means? a. the mean of the population is greater than the mean of the sampling distribution of the sample means. b. the mean of the population is lesser than the mean of the sampling distribution of the sample means. c. the mean of the population is equal to the mean of the sampling distribution of the sample means. d. the mean of the population is not equal to the mean of the sampling distribution of the sample means.

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MELC 19: Illustrates the Central Limit Theorem.
MELC 20: Defines the sampling distribution of the sample mean using the Central Limit Theorem.
Choose the letter of the correct answer
1. What is the relationship between the mean of the population and the mean of the sampling distribution of the sample
means?
the mean of the population is greater than the mean of the sampling distribution of the sample means.
b. the mean of the population is lesser than the mean of the sampling distribution of the sample means.
c. the mean of the population is equal to the mean of the sampling distribution of the sample means.
d. the mean of the population is not equal to the mean of the sampling distribution of the sample means.
a.
2. What is the equivalent value of the standard deviation of the sampling distribution of the sample means in comparison
to the standard deviation in an infinite population?
а.
b.
N -n
Vn
N – 1
Vn
3. In the formula shown above, what does N stands for?
-n
Vn
a. sample size
b. population size
c. number of respondents
d. number 30
4. What have you observed with the histogram of the sampling distribution of the sample mean?
The histogram is skewed to the left, regardless of the shape of the population.
b. It will tend to have an abnormal distribution, regardless of the shape of the population.
The bar in the histogram will be equally distributed
d. It will tend to have a normal distribution, regardless of the shape of the population.
а.
С.
5. According to the Central Limit Theorem, for a sample to be large enough, the sample size should be
a. half of the population
b. 75% of the population size
C. at least 30
d. at most 100
6. As the sample size n increases, the standard deviation of the distribution
b. decreases
increases
c. not enough info. given
d. stays the same
а.
7. Consider a population with p=50 and o=5 is taken. Find the mean of the sampling distribution of the sample mean with
a sample size of 30.
а. 50
b. 25
с. 20
d. 5
8. As the sample size n increases, the mean of the distribution
increases
b. decreases
c. not enough info. given
d. stays the same
a.
9. The population mean age of the residents in a certain city is 56.12 years with a standard deviation of 15.3 years. A
group of 2000 residents from a certain barangay in the city is taken as a sample. If the population of the city 150 000, find
the mean of the sampling distribution of the sample mean of the residents' ages.
150 000
b. 2 000
С. 15.3
d. 56.12
а.
10. The population mean age of the residents in a certain city is 56.12 years with a standard deviation of 15.3 years. A
group of 2000 residents from a certain barangay in the city is taken as a sample. If the population of the city 150 000, find
the standard deviation of the sampling distribution of the sample mean of the residents' ages.
150 000
b. 2 000
c. 15.3
d. 56.12
а.
Transcribed Image Text:Written Works MELC 19: Illustrates the Central Limit Theorem. MELC 20: Defines the sampling distribution of the sample mean using the Central Limit Theorem. Choose the letter of the correct answer 1. What is the relationship between the mean of the population and the mean of the sampling distribution of the sample means? the mean of the population is greater than the mean of the sampling distribution of the sample means. b. the mean of the population is lesser than the mean of the sampling distribution of the sample means. c. the mean of the population is equal to the mean of the sampling distribution of the sample means. d. the mean of the population is not equal to the mean of the sampling distribution of the sample means. a. 2. What is the equivalent value of the standard deviation of the sampling distribution of the sample means in comparison to the standard deviation in an infinite population? а. b. N -n Vn N – 1 Vn 3. In the formula shown above, what does N stands for? -n Vn a. sample size b. population size c. number of respondents d. number 30 4. What have you observed with the histogram of the sampling distribution of the sample mean? The histogram is skewed to the left, regardless of the shape of the population. b. It will tend to have an abnormal distribution, regardless of the shape of the population. The bar in the histogram will be equally distributed d. It will tend to have a normal distribution, regardless of the shape of the population. а. С. 5. According to the Central Limit Theorem, for a sample to be large enough, the sample size should be a. half of the population b. 75% of the population size C. at least 30 d. at most 100 6. As the sample size n increases, the standard deviation of the distribution b. decreases increases c. not enough info. given d. stays the same а. 7. Consider a population with p=50 and o=5 is taken. Find the mean of the sampling distribution of the sample mean with a sample size of 30. а. 50 b. 25 с. 20 d. 5 8. As the sample size n increases, the mean of the distribution increases b. decreases c. not enough info. given d. stays the same a. 9. The population mean age of the residents in a certain city is 56.12 years with a standard deviation of 15.3 years. A group of 2000 residents from a certain barangay in the city is taken as a sample. If the population of the city 150 000, find the mean of the sampling distribution of the sample mean of the residents' ages. 150 000 b. 2 000 С. 15.3 d. 56.12 а. 10. The population mean age of the residents in a certain city is 56.12 years with a standard deviation of 15.3 years. A group of 2000 residents from a certain barangay in the city is taken as a sample. If the population of the city 150 000, find the standard deviation of the sampling distribution of the sample mean of the residents' ages. 150 000 b. 2 000 c. 15.3 d. 56.12 а.
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