### Confidence Intervals Calculation#### Instructions:Use the sample information \( \bar{x} = 36 \), \( \sigma = 4 \), \( n = 13 \) to calculate the following confidence intervals for \( \mu \) assuming the sample is from a normal population.---**(a) 90 percent confidence. (Round your answers to 4 decimal places.)**- The 90% confidence interval is from __ to __**(b) 95 percent confidence. (Round your answers to 4 decimal places.)**- The 95% confidence interval is from __ to __**(c) 99 percent confidence. (Round your answers to 4 decimal places.)**- The 99% confidence interval is from __ to __**(d) Describe how the intervals change as you increase the confidence level.**- ☑ The interval gets narrower as the confidence level increases. (Note: This statement seems contradictory. Higher confidence levels generally result in wider intervals. Ensure to verify and adjust your understanding.)---### Explanation:This exercise demonstrates the calculation of confidence intervals based on sample data from a normal distribution. Using the provided sample mean (\(\bar{x}\)), population standard deviation (\(\sigma\)), and sample size (\(n\)), students are to compute the confidence intervals at varying levels of confidence (90%, 95%, and 99%). This not only applies statistical formulas but also helps in understanding how confidence levels impact interval width.

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Description: ### Confidence Intervals Calculation#### Instructions:Use the sample information \( \bar{x} = 36 \), \( \sigma = 4 \), \( n = 13 \) to calculate the following confidence intervals for \( \mu \) assuming the sample is from a normal population.---**(a

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Use the sample information x= 36, o = 4, n= 13 to calculate the following confidence intervals for µ assuming the sample is from normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from to

Use the sample information x= 36, o = 4, n= 13 to calculate the following confidence intervals for µ assuming the sample is from normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from to

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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