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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Question

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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