Perform a two-tail t-test means hypothesis test (Refer to Example 2 in the Resources, and Doane et al. LO 10-02)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Scenario 3. Another critical metric is Service Time (ST), also known as the CSR's time servicing the customer. CSRs with more experience tend to resolve customer calls faster. Companies can improve average ST with more CSR training or channeling calls. For example, your company had an average ST of approximately 180 seconds (3.0 minutes) last month. The company has implemented a new protocol that channels call to CSRs based on their expertise to improve this metric. You will test the new protocol (PE) in comparison with the traditional (PT) protocol.

 

Is there a difference between the mean PE (New) Service Time and PT (Traditional) Service Time at a 95% confidence level?

 

  1. Perform a two-tail t-test means hypothesis test (Refer to Example 2 in the Resources, and Doane et al. LO 10-02)

 

Based on the analysis, explain whether the new PE protocol served its purpose.

  PE Service Time PT Service Time
Mean 163.305 178.095
Variance 2760.383894 2364.649221
Observations 200 200
Pearson Correlation 0.996268617  
Hypothesized Mean Difference 0  
df 199  
t Stat -35.67859083  
P(T<=t) one-tail 1.02876E-88  
t Critical one-tail 1.652546746  
P(T<=t) two-tail 2.05753E-88  
t Critical two-tail 1.971956544  
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