**Height Advantage in Presidential Candidates**A popular theory suggests that presidential candidates have an advantage if they are taller than their main opponents. Below are the heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below.| Height (cm) | President | Main Opponent ||------------------|-----------|---------------|| | 180 | 164 || | 170 | 182 || | 182 | 167 || | 175 | 174 || | 199 | 179 || | 177 | 176 |1. **Identify the test statistic.** - **t =** (Round to two decimal places as needed.)2. **Identify the P-value.** - **P-value =** (Round to three decimal places as needed.)3. **What is the conclusion based on the hypothesis test?** - Since the P-value is [dropdown] the significance level, [dropdown] the null hypothesis. There [dropdown] sufficient evidence to support the claim that presidents tend to be taller than their opponents.4. **Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion?** - [Additional details needed here, based on further calculations and input selections.]**Note:** This exercise involves calculating statistical values (test statistic, P-value, confidence interval) to assess whether there is an advantage for taller presidential candidates. **Exploring the Relationship Between Height and Presidential Success**A popular theory suggests that presidential candidates may have an advantage if they are taller than their main opponents. The data below provides heights (in centimeters) of randomly selected presidents alongside the heights of their main opponents. Analyze the parts (a) and (b) to understand better.**Height Data:**- **Height (cm) of President:** 180, 170, 182, 175, 199, 177- **Height (cm) of Main Opponent:** 164, 182, 167, 174, 179, 176---### Part (a)**Statistical Analysis:**Since the P-value is [dropdown: select an option], [dropdown: less than, greater than] the significance level, [dropdown: reject, do not reject] the null hypothesis. There [dropdown: is, is not] sufficient evidence to support the claim that presidents tend to be taller than their opponents.### Part (b)**Confidence Interval Construction:**- The confidence interval is [input box] cm < μd < [input box] cm (Round to one decimal place as needed.)**Conclusion from Confidence Interval:**What feature of the confidence interval leads to the same conclusion reached in part (a)?Since the confidence interval contains [dropdown: zero, only positive values, only negative values], [dropdown: reject, do not reject] the null hypothesis.This exercise helps in understanding the application of hypothesis testing and confidence intervals in real-world data analysis, exploring if height may influence presidential success.

Hypothesis test is the type of statistical test which are of two types. They are parametric and non…

Answered: K A popular theory is that presidential…

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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目 Video To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material. Manufacture 3 18 30 24 27 24 18 21 30 27 18 27 18 a. Compute the values below (to 2 decimals, if necessary). Sum of Squares, Error Mean Squares, Error Fisher's LSD Value b. Use Fisher's LSD procedure to develop a 95% confidence interval estimate of the difference between the means for manufacturer 1 and manufacturer 2. Round to two decimal places. Enter negative values as negative numbers. to Hide Feedback

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