A study involving the economic burden of congestive heart failure found that the lengths of hospital stays for patients are not normally distributed with a mean of 7.8 days and a standard deviation of 9.1 days. A random sample of size 40 is taken. Which of following best describes the sampling distribution of ? Select one: O a. Normal O b. O c. Unknown Approximately normal

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**Study on Hospital Stays for Congestive Heart Failure Patients**

A study involving the economic burden of congestive heart failure found that the lengths of hospital stays for patients are not normally distributed with a mean of 7.8 days and a standard deviation of 9.1 days. A random sample of size 40 is taken. Which of the following best describes the sampling distribution of the sample mean?

**Select one:**
- a. Normal
- b. Approximately normal
- c. Unknown

This is an example of using the Central Limit Theorem (CLT) in statistics. The CLT states that when a sufficiently large sample size is taken from a population (usually n > 30), the sampling distribution of the sample mean will be approximately normal, regardless of the population's distribution. In this case, since the sample size is 40, the sampling distribution of the sample mean would likely be approximately normal.
Transcribed Image Text:**Study on Hospital Stays for Congestive Heart Failure Patients** A study involving the economic burden of congestive heart failure found that the lengths of hospital stays for patients are not normally distributed with a mean of 7.8 days and a standard deviation of 9.1 days. A random sample of size 40 is taken. Which of the following best describes the sampling distribution of the sample mean? **Select one:** - a. Normal - b. Approximately normal - c. Unknown This is an example of using the Central Limit Theorem (CLT) in statistics. The CLT states that when a sufficiently large sample size is taken from a population (usually n > 30), the sampling distribution of the sample mean will be approximately normal, regardless of the population's distribution. In this case, since the sample size is 40, the sampling distribution of the sample mean would likely be approximately normal.
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