The data table contains waiting times of customers at a bank, where customers enter a single waiting line that feeds three teller windows. Test the claim that the standard deviation of waiting times is less than 1.9 minutes, which is the standard deviation of waiting times at the same bank when separate waiting lines are used at each teller window. Use a significance level of 0.05. Complete parts (a) through (d) below.a. Identify the null and alternative hypotheses. Choose the correct answer below.- A. \( H_0: \sigma = 1.9 \) minutes \\\( H_a: \sigma < 1.9 \) minutes- B. \( H_0: \sigma < 1.9 \) minutes \\\( H_a: \sigma = 1.9 \) minutes- C. \( H_0: \sigma = 1.9 \) minutes \\\( H_a: \sigma \neq 1.9 \) minutes- D. \( H_0: \sigma \neq 1.9 \) minutes \\\( H_a: \sigma < 1.9 \) minutesThe correct answer is A.b. Compute the test statistic.\( \chi^2 = 44.76 \) \\(Round to two decimal places as needed.)c. Find the P-value of the test statistic.The P-value of the test statistic is \(\_\_\_\_\_\) \\(Round to three decimal places as needed.) **Customer Waiting Times**The table below displays customer waiting times in minutes. | 6.8 | 7.9 | 9.2 | 6.9 ||-----|-----|------|------|| 7.2 | 7.9 | 6.2 | 7.8 || 6.3 | 7.6 | 6.5 | 7.8 || 6.2 | 7.9 | 11.9 | 6.9 || 7.2 | 7.3 | 5.3 | 7.7 || 7.4 | 6.5 | 6.5 | 13.2 || 7.7 | 8.9 | 7.1 | 7.3 || 6.9 | 7.4 | 7.5 | 6.4 || 6.9 | 14.9| 6.7 | 7.7 || 6.6 | 6.4 | 7.8 | 7.4 || 8.6 | 6.5 | 10.2 | 8.1 || 4.3 | 6.9 | 7.1 | 7.3 || 5.6 | 9.8 | 8.1 | 6.2 || 4.1 | 7.5 | 8.6 | 7.6 || 6.4 | 7.8 | 6.7 | 7.6 |These times provide a snapshot of wait durations experienced by customers. The data can be useful for analyzing customer service efficiency, identifying peak waiting periods, and implementing improvements in service delivery.

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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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