Sia
Question
Math
Posted 10 months ago
Employees at a hospital take the temperature of every one of its more than 1,000 patients who visit the emergency room. The body temperatures of these patients follow a normal distribution similar to this:
Suppose that the hospital takes a random sample of 16 patients and calculates the sample mean temperature for those patients.
What will be the shape of the sampling distribution of the sample mean temperature?
Choose 1 answer:
(A) Skewed to the left
(B) Skewed to the right
(C) Approximately normal
(D) Unknown; we don't have enough information to determine the shape
Sign in to unlock the answer
Answer from Sia
Posted 10 months ago
Solution by Steps
step 2
The sample size given is 16, which is generally considered sufficient for the Central Limit Theorem to apply, especially since the population distribution is already normal
step 3
Therefore, the shape of the sampling distribution of the sample mean temperature will also be approximately normal
1 Answer
C
Key Concept
Central Limit Theorem
Explanation
The Central Limit Theorem states that the sampling distribution of the sample mean will be approximately normal, regardless of the population distribution's shape, provided the sample size is sufficiently large.
Not the question you are looking for? Ask here!
Enter question by text
Enter question by image
Unlock Smarter Learning with AskSia Super!
Join Super, our all-in-one AI solution that can greatly improve your learning efficiency.
30% higher accuracy than GPT-4o
Entire learning journey support
The most student-friendly features
Study Other Question