**Data Analysis Example**Consider the data set:34, 45, 27, 33, 38, 41, 45, 29, 30, 39, 34, 40, 28, 33, 36**Questions:**(a) **What is the sample median?**To find the median, first organize the data in ascending order. Then, identify the middle value. If the number of observations is even, the median is the average of the two middle numbers.(b) **Construct a 99% two-sided confidence interval for the population mean.**To construct the confidence interval, use the following steps:1. Calculate the sample mean and standard deviation.2. Determine the appropriate z-score for a 99% confidence level.3. Use the formula for the confidence interval: \[\bar{x} \pm z \left(\frac{\sigma}{\sqrt{n}}\right)\] where \(\bar{x}\) is the sample mean, \(z\) is the z-score, \(\sigma\) is the standard deviation, and \(n\) is the sample size.

(a) First arrange the data in ascending order. The order is, 27, 28, 29, 30, 33, 33, 34, 34, 36,…

Answered: Consider the data set 34 45 27 33 38 41…

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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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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Consider the data set 34 45 27 33 38 41 45 29 30 39 34 40 28 33 36 (a) What is the sample median? (b) Construct a 99% two-sided confidence interval for the population mean.