Call centers today play an important role in managing day-to-day business communication with customers. It’s important, therefore, to monitor a comprehensive set of metrics, which can help businesses understand the overall performance of a call center. One key metric for measuring overall call center performance is service level which is defined as the percentage of calls answered by a human agent within a specified number of seconds. The file ServiceLevel contains the following data for time, in seconds, to answer 50 incoming calls to financial service call center: a. At the 0.05 level of significance, is there evidence that the population mean time to answer calls is less than 20 seconds? b. What assumption about the population distribution is needed is order to conduct the t test in (a)? c. Construct a histogram, boxplot, or normal probability plot to evaluate the assumption made in (b). d. Do you think that the assumption needed in order to conduct the t test in (a) is valid? Explain.
Call centers today play an important role in managing day-to-day business communication with customers. It’s important, therefore, to monitor a comprehensive set of metrics, which can help businesses understand the overall performance of a call center. One key metric for measuring overall call center performance is service level which is defined as the percentage of calls answered by a human agent within a specified number of seconds. The file ServiceLevel contains the following data for time, in seconds, to answer 50 incoming calls to financial service call center: a. At the 0.05 level of significance, is there evidence that the population mean time to answer calls is less than 20 seconds? b. What assumption about the population distribution is needed is order to conduct the t test in (a)? c. Construct a histogram, boxplot, or normal probability plot to evaluate the assumption made in (b). d. Do you think that the assumption needed in order to conduct the t test in (a) is valid? Explain.
Solution Summary: The author explains the five steps of the p-value approach to determine whether the mean time to answer the calls is less than 20 seconds.
Call centers today play an important role in managing day-to-day business communication with customers. It’s important, therefore, to monitor a comprehensive set of metrics, which can help businesses understand the overall performance of a call center. One key metric for measuring overall call center performance is service level which is defined as the percentage of calls answered by a human agent within a specified number of seconds. The file ServiceLevel contains the following data for time, in seconds, to answer 50 incoming calls to financial service call center:
a. At the 0.05 level of significance, is there evidence that the population mean time to answer calls is less than 20 seconds?
b. What assumption about the population distribution is needed is order to conduct the t test in (a)?
c. Construct a histogram, boxplot, or normal probability plot to evaluate the assumption made in (b).
d. Do you think that the assumption needed in order to conduct the t test in (a) is valid? Explain.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
1. Let X and Y be random variables and suppose that A = F. Prove that
Z XI(A)+YI(A) is a random variable.
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what is Research Design, Research Design Types, and Research Design Methods; Author: Educational Hub;https://www.youtube.com/watch?v=LpmGSioXxdo;License: Standard YouTube License, CC-BY