A series of benchmark performance tests were conducted on a transaction processing software product to decide whether or not to purchase several...
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1.      A series of benchmark performance tests were conducted on a transaction processing software product

to decide whether or not to purchase several copies of the software. The data on the time to process a transaction in milliseconds is as follows: {23, 33, 14, 15, 42, 28, 33, 45, 23, 34, 39, 21, 36, 23, 34, 36, 25, 9, 11, 19, 35, 38, 35, 28, 24, 31, 16, 15, 29, 43, 32, 21, 27, 54, 50, 32}

(a) construct a boxplot of the data and discuss the results

(b) What is the 90% confidence interval on the mean transaction processing time?

(c) What is the margin of error of the confidence interval?

(d) If the level of confidence is increased to 95% what is the margin of error? Why does it change?

(e) It is decided that the margin of error is too large at the 90% level, how many more data point are need to get a desired margin of error of 5%?

 

 

2.      A cable company conducts a survey of 100 customers to determine if they are satisfied with their service. Based on the response 18 considered themselves satisfied. Construct the 90% confidence interval on the true proportion of satisfied customers.  

 

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