### Statistical Analysis Exercise#### Given Information:A simple random sample of size 28 is drawn from a normal population whose standard deviation is \( \sigma = 2 \). The sample mean is \( \bar{x} = 14.3 \).#### Task:a.) **Construct a 93% confidence level for \( \mu \).** (Round answers to two decimal places.)- **Margin of Error:** - [Input Box] - **Lower Limit:** - [Input Box] - **Upper Limit:** - [Input Box]b.) **If the population were not normally distributed, what conditions would need to be met?** (Select all that apply.)- [ ] large enough sample size \( n \)- [ ] \( \sigma \) is unknown- [ ] the population needs to be uniformly distributed- [ ] \( \sigma \) is known- [ ] the population needs to be normally distributed- [ ] systematic sampling- [ ] simple random sample### Explanation:- Part a) involves computing a confidence interval to estimate the population mean based on the sample data. - Part b) lists conditions to consider if the population distribution is not normal, focusing on concepts related to sampling methods and distribution assumptions.This exercise helps understand how to apply statistical techniques to infer population parameters and the considerations when underlying assumptions are not met.

The value of z at 93% confidence level is 1.812, which can be obtained by using the standard normal…

A simple random sample of size 28 is drawn from a normal population whose standard deviation is a= 2. The sample mean is i = 14.3. a.) Construct a 93% confidence level for u. (Round answers to two decimal place.) margin of error: lower limit: upper limit: b.) If the population were not normally distributed, what conditions would need to be met? (Select all that apply.) Olarge enough sample size n

A simple random sample of size 28 is drawn from a normal population whose standard deviation is a= 2. The sample mean is i = 14.3. a.) Construct a 93% confidence level for u. (Round answers to two decimal place.) margin of error: lower limit: upper limit: b.) If the population were not normally distributed, what conditions would need to be met? (Select all that apply.) Olarge enough sample size n

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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