In: Statistics and Probability
It is believed that using a solid state drive (SSD) in a computer results in faster boot times when compared to a computer with a traditional hard disk (HDD). You sample 11 computers with an HDD and note a sample average of 23.105 seconds with a standard deviation of 6.4906 seconds. A sample of 10 computers with an SSD show an average of 14.463 seconds with a standard deviation of 2.3266 seconds. Construct a 90% confidence interval for the difference between the true average boot times of the two types of hard drives. Assume the difference will represent (HDD-SSD) and that the population standard deviations are statistically the same.