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 13 computers with an HDD and note a sample average of 30.74 seconds with a standard deviation of 6.37 seconds. A sample of 19 computers with an SSD show an average of 12.28 seconds with a standard deviation of 2.664 seconds. Construct a 99% 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.
1) We only have the sample means, we need to know the population means in order to calculate a confidence interval.
2) (14.26, 22.66)
3) (16.83, 20.09)
4) (12.95, 23.97)
5) (13.98, 22.94)