### Hypothesis Testing in Civic Meetings**Context:**Residents of Valentine, a small city in Nebraska, meet for a city council meeting once a week. Meetings are supposed to last no more than 3 hours. However, many residents are complaining that the average meeting is significantly longer than 3 hours (180 minutes).**Data Collection:**To investigate this, the lengths of the last 15 meetings were recorded in minutes:- 147.0, 155.4, 159.6, 162.6, 163.8, 165.0, 167.4, 169.2, 172.2, 172.8, 172.8, 175.8, 175.8, 196.8, 201.6**Hypothesis Testing:**Using this data, test the null hypothesis at the alpha = 0.1 level that the mean length of city council meetings is equal to 3 hours versus the alternative that the average meeting length is greater than 3 hours. Assume that the distribution of meeting lengths is normal.**Objective:**Identify the p-value and conclusion of this test based on the recorded meeting lengths.**Options:**1. p-value = 0.046; Fail to reject the null hypothesis2. p-value = 0.046; Reject the null hypothesis3. p-value = 0.990; Fail to reject the null hypothesis4. p-value = 0.990; Reject the null hypothesis**Solution Explanation:**Given the hypotheses:- Null hypothesis (H0): The mean meeting length is equal to 3 hours (180 minutes).- Alternative hypothesis (H1): The mean meeting length is greater than 3 hours.The correct option should reflect the p-value calculation and the resulting hypothesis decision:- If the p-value is less than the significance level (alpha = 0.1), we reject the null hypothesis.- If the p-value is greater than or equal to the significance level, we fail to reject the null hypothesis.Since the p-value is 0.046 and this is less than 0.1, we reject the null hypothesis.**Correct Conclusion:****p-value = 0.046; Reject the null hypothesis**The city council meetings in Valentine indeed tend to last significantly longer than 3 hours, based on the recorded meeting lengths and statistical testing.

Population mean= 3 hours = 180 minutes Data of 15 meetings : N = 15 degree of freedom = N-1 = 15-1 =…

Answered: Residents of Valentine, a small city in…

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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