Question

In: Statistics and Probability

Exercise 4. A different analysis of the sleep problem In a class survey, students are asked...

Exercise 4. A different analysis of the sleep problem
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 gotten a different amount of sleep from the recommended 8 hours of sleep at the α = .01 level. The distribution of sleep for this population follows a normal distribution.

h) There is a link between confidence intervals and p-values: if you return to the confidence interval in 4e to g, is 8 included in the interval? Please answer

  • yes or no
  • give the interpretation of the 98% CI
  • explain if this matches or doesn't match your hypothesis test finding from part d.
  • try to put in words the link between hypothesis testing and the confidence interval

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

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...
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...
A class survey in a large class for first-year college students asked, "About how many minutes...
A class survey in a large class for first-year college students asked, "About how many minutes do you study on a typical weeknight?" The mean response of the 259 students was x⎯⎯⎯ = 147 minutes. Suppose that we know that the study time follows a Normal distribution with standard deviation σ = 65 minutes in the population of all first-year students at this university. Use the survey result to give a 95% confidence interval for the mean study time of...
(1 point) A class survey in a large class for first-year college students asked, "About how...
(1 point) A class survey in a large class for first-year college students asked, "About how many minutes do you study on a typical weeknight?" The mean response of the 253 students was x⎯⎯⎯x¯ = 134 minutes. Suppose that we know that the study time follows a Normal distribution with standard deviation σσ = 65 minutes in the population of all first-year students at this university. Use the survey result to give a 90% confidence interval for the mean study...
A class survey in a large class for first‑year college students asked, “About how many hours...
A class survey in a large class for first‑year college students asked, “About how many hours do you study during a typical week?” The mean response of the 463 students was ?¯=13.7 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation ?=7.4 hours in the population of all first‑year students at this university. Regard these students as an SRS from the population of all first‑year students at this university. Does the study give...
A class survey in a large class for first-year college students asked, "About how many minutes...
A class survey in a large class for first-year college students asked, "About how many minutes do you study on a typical weeknight?" The mean response of the 261 students was x¯¯¯x¯ = 130 minutes. Suppose that we know that the studey time follows a Normal distribution with standard deviation σσ = 65 minutes in the population of all first-year students at this university. Regard these students as an SRS from the population of all first-year students at this university....
A class survey in a large class for first-year college students asked, "About how many hours...
A class survey in a large class for first-year college students asked, "About how many hours do you study in a typical week?". The mean response of the 427 students was x¯¯¯ = 12 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation 7 hours in the population of all first-year students at this university. What is the 99% confidence interval (±0.001) for the population mean? Confidence interval is from ____to_____ hours.
A class survey in a large class for first-year college students asked, "About how many minutes...
A class survey in a large class for first-year college students asked, "About how many minutes do you study on a typical weeknight?" The mean response of the 257 students was x¯¯¯x¯ = 140 minutes. Suppose that we know that the study time follows a Normal distribution with standard deviation σσ = 65 minutes in the population of all first-year students at this university. Use the survey result to give a 95% confidence interval for the mean study time of...
(16.19) A class survey in a large class for first-year college students asked, "About how many...
(16.19) A class survey in a large class for first-year college students asked, "About how many hours do you study in a typical week?". The mean response of the 427 students was x¯¯¯ = 17 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation 8 hours in the population of all first-year students at this university. What is the 99% confidence interval (±0.001) for the population mean? Confidence interval is from to hours.
Students in a different statistics class were asked to report the age of their mothers when...
Students in a different statistics class were asked to report the age of their mothers when they were born. Here are the summary statistics: Sample size: 28     sample mean: 29.643 years         sample stDev: 4.564 years Calculate the standard error of this sample mean. Determine and interpret a 90% confidence interval for the mother’s mean age (at student’s birth) in the population of all students at the college. How would a 99% confidence interval compare to the 90% confidence interval...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT