Renata wants to estimate the average number of patients admitted to the ICU daily across a large hospital network. The population is known to be approximately normally distributed. Renata takes a random sample of 24 days and finds that the sample average is 61.6 patients, with a standard deviation of 1.5 patients. a. What is the appropriate distribution to use to construct a confidence interval based on this research? Binomial X b. Use Renata's findings to construct a 98% confidence interval for the appropriate population parameter. Express answers as percentages rounded to one decimal place. patients
Added by Rafael P.
Close
Step 1
6$ patients, and the sample standard deviation is $s = 1.5$ patients. The population is approximately normally distributed. Since the population standard deviation is unknown, we will use the t-distribution to construct the confidence interval. Show more…
Show all steps
Your feedback will help us improve your experience
Marc Lauzon and 61 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A random sample of 48 days taken at a large hospital shows that an average of 38 patients were treated in the emergency room (ER) per day. The standard deviation of the population is 4. a. Find the 95% confidence interval of the mean number of ER patients treated each day in the hospital b. Find the 95% confidence interval of the mean number of ER patients treated each day in the hospital if the standard deviation is 8 instead of 4.
Marc L.
Problem #1: (a) The following data shows the number of hours that 8 hospital patients slept following the administration of a certain anesthetic. 7, 6, 11, 12, 4, 12, 9, 4, Find a 95% confidence interval for the average hours slept following the administration of the anesthetic for the sampled population. (b) Which of the following statements is true regarding part (a)? confidence interval enter your answer in the form a,b (numbers correct to 2 decimals) (A) The population must be normal. (B) The population standard deviation σ must be known. (C) The population must follow a t-distribution. (D) The population mean must be inside the confidence interval. (E) The population does not need to be normal.
Adi S.
Ivan K.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD