Problem: Consumer reports tested several types of snow tires to determine how well each performed under winter conditions. When traveling on ice at 15 mph , 10 winter-fire tires had a mean stopping distance of 51 feet with a standard deviation of 8 feet. The mean stopping distance for 12XMS Alpine-tires was 55 feet with the standard deviation of 3 feet. Be detailed in your response and provide examples also.

Required:

Question 1: Can you conclude that there is a significant difference in the mean stopping distance of the two types of tires? Use a= 0.01

Question 2: Construct a99% confidence interval for the difference of the means.