A simple random sample of size n=40 is obtained from a population with a mean of 20 and a standard deviation of 5. Is the sampling distribution normally distributed? Why? OYes, the sampling distribution is normally distributed because the sample size is greater than 30. O Yes, the sampling distribution is normally distributed because the population is normally distributed. No, the sampling distribution is not normally distributed because the population is not normally distributed. O No, the sampling distribution is not normally distributed because the population mean is less than 30. estion Help: DPost to forum ubmit Question

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**Understanding Sampling Distributions: Is the Sampling Distribution Normally Distributed?**

A simple random sample of size \( n=40 \) is obtained from a population with a mean of 20 and a standard deviation of 5. Is the sampling distribution normally distributed? Why?

**Options:**
1. **Yes**, the sampling distribution is normally distributed because the sample size is greater than 30.
2. **Yes**, the sampling distribution is normally distributed because the population is normally distributed.
3. **No**, the sampling distribution is not normally distributed because the population mean is less than 30.
4. **No**, the sampling distribution is not normally distributed because the population is not normally distributed.

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Transcribed Image Text:**Understanding Sampling Distributions: Is the Sampling Distribution Normally Distributed?** A simple random sample of size \( n=40 \) is obtained from a population with a mean of 20 and a standard deviation of 5. Is the sampling distribution normally distributed? Why? **Options:** 1. **Yes**, the sampling distribution is normally distributed because the sample size is greater than 30. 2. **Yes**, the sampling distribution is normally distributed because the population is normally distributed. 3. **No**, the sampling distribution is not normally distributed because the population mean is less than 30. 4. **No**, the sampling distribution is not normally distributed because the population is not normally distributed. **Submit Question Button:** - Click to submit your answer. **Question Help Options:** - Click the "Post to forum" link for discussions and help from peers or instructors.
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