14- Fill in the blanks to correctly complete the sentence below.Suppose a simple random sample of size \( n \) is drawn from a large population with mean \( \mu \) and standard deviation \( \sigma \). The sampling distribution of \( \bar{x} \) has mean \( \mu_{\bar{x}} = \) [fill in the blank] and standard deviation \( \sigma_{\bar{x}} = \) [fill in the blank].---Suppose a simple random sample of size \( n \) is drawn from a large population with mean \( \mu \) and standard deviation \( \sigma \). The sampling distribution of \( \bar{x} \) has mean \( \mu_{\bar{x}} = \) [dropdown option] and standard deviation \( \sigma_{\bar{x}} = \) [dropdown menu with options]:- \(\frac{\sigma}{\sqrt{n}}\)- \(\frac{\mu}{n}\)- \(\mu\)- \(\frac{\mu}{\sqrt{n}}\)- \(\frac{\sigma}{n}\)- \(\sigma\)Time Remaining: [Timer Icon] **Educational Content: Understanding Sampling Distributions**---**Interactive Practice: Completing the Sentence**In this exercise, you are tasked with understanding key concepts about sampling distributions. Fill in the blanks to correctly complete the sentence.Suppose a simple random sample of size \( n \) is drawn from a large population with mean \( \mu \) and standard deviation \( \sigma \). The sampling distribution of \( \overline{x} \) has:- **Mean** \( \mu_{\overline{x}} = \) [Dropdown menu] - **Standard Deviation** \( \sigma_{\overline{x}} = \) [Dropdown menu]---**Dropdown Options:**1. \( \sigma \)2. \( \sqrt{n} \)3. \( \sigma \)4. \( \mu \)5. \( \frac{\mu}{\sqrt{n}} \)---**Solution Explanation:**When dealing with a simple random sample taken from a larger population:- The mean of the sampling distribution \( \mu_{\overline{x}} \) is equal to the population mean, \( \mu \). - The standard deviation of the sampling distribution \( \sigma_{\overline{x}} \), often referred to as the standard error, is \( \frac{\sigma}{\sqrt{n}} \), where \( \sigma \) is the population standard deviation and \( n \) is the sample size. Understanding these concepts is crucial for statistical inference and helps describe how sample means vary around the population mean.

Fill in the blanks to correctly complete the sentence below. Suppose a simple random sample of size n is drawn from a large population with mean u and standard deviation o. The sampling distribution of x has mean u- and standa Suppose a simple random sample of size n is drawn from a large population with mean u and standard deviation o. The sampling distribution of x has mean u- = V and standan