**Text Transcription for Educational Website:**### Confidence Interval and Distribution Analysis**3) Problem Statement:**A random sample with the prices of 20 sleeping bags has a sample mean $ \bar{x} = \$83 $, and the sample standard deviation $ s = \$22 $. Assume that the prices of sleeping bags are normally distributed. Find a 90% confidence interval for the population mean of sleeping bag prices.**Distribution Plot:**- The diagram shows a normal distribution curve labeled as "Distribution Plot," with parameters "Normal, Mean=0, StdDev=1." The x-axis is labeled with values from approximately -3 to 3, while the y-axis shows the density of the distribution.**a) Distribution Choice:**- **Question:** What distribution are you going to use to solve this problem, the Normal or the Student’s t distribution? - **Answer:** __________________________ - **Why?** ____________________________**b) Data Summary:**- **Write the Data:** - $ \bar{x} = $ ___________; - $ s = $ ___________; - $ n = $ ___________; - Confidence level $ c = $ ___________**c) Formula for Maximal Error:**- **Write the formula for the maximal error $ E $:**_____________________________________### Diagram Explanation:The graph represents a standard normal distribution with a symmetrical bell-shaped curve. It helps visualize the distribution of data and is used to determine the probability of certain outcomes in the context of calculating confidence intervals.

Given : A random sample with the prices of 20 sleeping bags have a sample mean x = $83, and the…

Answered: 3) A random sample with the prices of…

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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