A testing engineer is stress testing an Application Programming Interface (API) made by his company on twenty servers from two different vendors. The maximum number of hits from each server from each vendor is as follows (in thousands): Server Vendor A: 42.1 ; 41.3 ; 42.4 ; 43.2 ; 41.8 ; 41.0 ; 41.8 ; 42.8 ; 42,3 ; 42.7 Server Vendor B: 42.7 ; 43.8 ; 42.5 ; 43.1 ; 44.0 ; 43.6 ; 43.3 ; 43.5 ; 41.7 ; 44.1 It is known that the two stress test data are normally distributed with the same variance. a. Compute the 99% two-sided confidence interval for the difference in the mean number of hits from the servers of the two vendors. b. Compute the 97.5% upper confidence interval (97.5% upper confidence interval) for the difference in the average number of hits from the servers of the two vendors. c. Compute a lower confidence interval of 90% for the difference in the average number of hits from the servers of the two vendors. d. Calculate the Margin of Error (MOE) for the difference between the average number of hits from the servers of the two vendors with the 95% lower confidence interval.
A testing engineer is stress testing an Application Programming Interface (API) made by his company on twenty servers from two different vendors. The maximum number of hits from each server from each vendor is as follows (in thousands):
Server Vendor A: 42.1 ; 41.3 ; 42.4 ; 43.2 ; 41.8 ; 41.0 ; 41.8 ; 42.8 ; 42,3 ; 42.7
Server Vendor B: 42.7 ; 43.8 ; 42.5 ; 43.1 ; 44.0 ; 43.6 ; 43.3 ; 43.5 ; 41.7 ; 44.1
It is known that the two stress test data are
a. Compute the 99% two-sided confidence interval for the difference in the mean number of hits from the servers of the two vendors.
b. Compute the 97.5% upper confidence interval (97.5% upper confidence interval) for the difference in the average number of hits from the servers of the two vendors.
c. Compute a lower confidence interval of 90% for the difference in the average number of hits from the servers of the two vendors.
d. Calculate the Margin of Error (MOE) for the difference between the average number of hits from the servers of the two vendors with the 95% lower confidence interval.
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