Please use the following information to answer questions 5a-5c: The distribution of ages for students at the state college is positively skewed with a mean of µ = 21.5 and a standard deviation of σ = 3. 5a. Which of the following is correct? Group of answer choices: a. The probability of selecting a random sample of n = 4 students with an average age greater than 23 is .16. b. The probability of selecting a random sample of n = 4 students with an average age greater than 23 cannot be computed
Please use the following information to answer questions 5a-5c: The distribution of ages for students at the state college is positively skewed with a mean of µ = 21.5 and a standard deviation of σ = 3. 5a. Which of the following is correct? Group of answer choices: a. The probability of selecting a random sample of n = 4 students with an average age greater than 23 is .16. b. The probability of selecting a random sample of n = 4 students with an average age greater than 23 cannot be computed
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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Please use the following information to answer questions 5a-5c:
The distribution of ages for students at the state college is positively skewed with a mean of µ = 21.5 and a standard deviation of σ = 3.
5a. Which of the following is correct?
Group of answer choices:
a. The probability of selecting a random sample of n = 4 students with an average age greater than 23 is .16.
b. The probability of selecting a random sample of n = 4 students with an average age greater than 23 cannot be computed because n is less than 30.
c. The probability of selecting a random sample of n = 4 students with an average age greater than 23 cannot be computed because the population is skewed.
d. The probability of selecting a random sample of n = 4 students with an average age greater than 23 cannot be computed because n is less than 30 AND the population is skewed.
5b. What is the probability of selecting a random sample of n = 36 students with an average age greater than 23 (MUST SHOW WORK FOR THIS PROBLEM)?
Note: Bring your answer out to the second decimal place.
5c. For a sample of n = 36 students, what is the probability that the average age is between 21 and 22 (MUST SHOW WORK FOR THIS PROBLEM)?
Note: Bring your answer out to the second decimal place.
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