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Course: Statistics and probability?>?Unit 10
Lesson 3: Sampling distribution of a sample mean- Inferring population mean from sample mean
- Central limit theorem
- Sampling distribution of the sample mean
- Sampling distribution of the sample mean (part 2)
- Standard error of the mean
- Example: Probability of sample mean exceeding a value
- Mean and standard deviation of sample means
- Sample means and the central limit theorem
- Finding probabilities with sample means
- Sampling distribution of a sample mean example
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Sample means and the central limit theorem
Problem
The wingspans of a common species of housefly are normally distributed with a mean of and a standard deviation of . Suppose that a biologist regularly collects random samples of of these houseflies and calculates the sample mean wingspan from each sample.
What will be the shape of the sampling distribution of the sample mean wingspan?