Question

In: Statistics and Probability

The 2015 American Time Use Survey contains data on how many minutes of sleep per night...

The 2015 American Time Use Survey contains data on how many minutes of sleep per night an average college student gets. According to this survey, the minutes that college students sleep per night are right skewed with a mean of 529.9 minutes and standard deviation 135.6 minutes.

Suppose we take a random sample of size 20. What is the probability that the mean of the 20 times is greater than 538 minutes?

Answer --> It is not appropriate to calculate probabilities in this situation. (explain why, please)


Suppose we take a random sample of size 60. What is the probability that the mean of the 60 times is less than 479.4 minutes?

A. 0.0020

B. 0.9980

C. 0.3557

D. 0.6643

E. It is not appropriate to calculate probabilities in this situation.

Solutions

Expert Solution


orchestra answered 1 year ago
Next > < Previous

Related Solutions

The 2015 American Time Use Survey contains data on how many minutes of sleep per night...
The 2015 American Time Use Survey contains data on how many minutes of sleep per night an average college student gets. According to this survey, the minutes that college students sleep per night are right skewed with a mean of 529.9 minutes and standard deviation 135.6 minutes. Suppose we take a sample of size n = 50 from this same population, and we calculate x̅ = 540 minutes. How many standard deviations, (σ/ √n), away from μ is this sample...
In a class survey, students are asked how many hours they sleep per night. In the...
In a class survey, students are asked how many hours they sleep per night. In the random sample of 18 students, the (sample) mean is 6.8 hours with a (sample) standard deviation of 1.9 hours. We wish to know if this shows that the class’s student population on average has not gotten at least the recommended 8 hours of sleep at the α = .1 level. The distribution of sleep for this population follows a normal distribution. c) Please use...
Exercise 3. In a class survey, students are asked how many hours they sleep per night....
Exercise 3. In a class survey, students are asked how many hours they sleep per night. In the sample of 22 students, the (sample) mean is 6.77 hours with a (sample) standard deviation of 1.472 hours. We wish to know if this shows that the class’s student population on average has not gotten at least the recommended 8 hours of sleep at the α = .1 level. The distribution of sleep for this population follows a normal distribution. a. Write...
The National Sleep Foundation used a survey to determine whether hours of sleep per night are...
The National Sleep Foundation used a survey to determine whether hours of sleep per night are independent of age (Newsweek, January 19, 2004). A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age...
5.28  Total sleep time of college students. In Example 5.4, the total sleep time per night...
5.28  Total sleep time of college students. In Example 5.4, the total sleep time per night among college students was approximately Normally distributed with mean μ = 6.78 hours and standard deviation σ = 1.24 hours. You plan to take an SRS of size n = 120 and compute the average total sleep time. (a) What is the standard deviation for the average time? (b) Use the 95 part of the 68–95–99.7 rule to describe the variability of this sample...
A survey was conducted to determine whether hours of sleep per night are independent of age....
A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours...
A survey was conducted to determine whether hours of sleep per night are independent of age....
A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours...
A survey was conducted to determine whether hours of sleep per night are independent of age....
A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours...
A survey was conducted to determine whether hours of sleep per night are independent of age....
A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours...
A survey was conducted to determine whether hours of sleep per night are independent of age....
A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT