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
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
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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 alt="**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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