Answer all parts of question 1 (Encircle correct options): Part 1: Supposed the average score on the Mathematics portion
Posted: Thu May 05, 2022 8:26 pm
Answer all parts of question 1 (Encircle correct options):
Part 1: Supposed the average score on the Mathematics portion of the SAT (Scholastic Aptitude Test) is 516 with a standard deviation of 106. Find the standard deviation of the distribution of mean scores if we take random samples of 100 scores at a time and compute the sample means (i.e. find the Standard Error of the sample means).
Answer:
Part 2: The admission record at a university indicates that 9% of the students enrolled are international students. What is the standard error of the sample proportions of international students in a random sample of size 81. Use 4 decimal places.
Answer:
Part 3: Which of the following scenario(s) have a sample size large enough for the Central Limit Theorem (CLT) to apply so that the sampling distribution follow a normal distribution?
a. Taking samples of size 47 from a population with a mean of 4.2 and a standard deviation of 0.5.
b. Taking samples of size 31 from a population with proportion 0.86
c. Taking samples of size 14 from a population with a mean of 260 and a standard deviation of 29.
d. Taking samples of size 100 from a population with proportion 0.37
Part 4: The mean land area of 213 countries in the world is 608,120 sq km with standard deviation 1766860.
If random samples of 32 countries are taken, what is the standard error or the sample mean? Write your answer up to 4dp.
Answer:
Part 5: Suppose it is known that Bharti Airtel has 32% of the market share of mobile phone service in India. If random samples of 496 mobile phone subscribers in India are selected and we compute the proportion using service from Bharti Airtel, find the standard error of the sample proportions. (Write your answer up to 4dp).
Answer:
Part 1: Supposed the average score on the Mathematics portion of the SAT (Scholastic Aptitude Test) is 516 with a standard deviation of 106. Find the standard deviation of the distribution of mean scores if we take random samples of 100 scores at a time and compute the sample means (i.e. find the Standard Error of the sample means).
Answer:
Part 2: The admission record at a university indicates that 9% of the students enrolled are international students. What is the standard error of the sample proportions of international students in a random sample of size 81. Use 4 decimal places.
Answer:
Part 3: Which of the following scenario(s) have a sample size large enough for the Central Limit Theorem (CLT) to apply so that the sampling distribution follow a normal distribution?
a. Taking samples of size 47 from a population with a mean of 4.2 and a standard deviation of 0.5.
b. Taking samples of size 31 from a population with proportion 0.86
c. Taking samples of size 14 from a population with a mean of 260 and a standard deviation of 29.
d. Taking samples of size 100 from a population with proportion 0.37
Part 4: The mean land area of 213 countries in the world is 608,120 sq km with standard deviation 1766860.
If random samples of 32 countries are taken, what is the standard error or the sample mean? Write your answer up to 4dp.
Answer:
Part 5: Suppose it is known that Bharti Airtel has 32% of the market share of mobile phone service in India. If random samples of 496 mobile phone subscribers in India are selected and we compute the proportion using service from Bharti Airtel, find the standard error of the sample proportions. (Write your answer up to 4dp).
Answer: