Using R studio company is relatively new, it has to estimate the time it takes to clean a 100 square feet of office space. The company estimates that it should take 5.5 hours to clean 100 square feet (m = 5.5). The company starts its business with this expectation and works for a week straight, collecting data as it proceeds in order to be certain that it is neither over- nor under-charging its clients. The data collected by the company can be seen in the table below. House per 100 square feet 5.5 6.9 5.8 5.5 4.5 4.6 7.8 6.4 5.6 7.1 4 4.5 After collecting this data, the company wants to determine if the time originally estimated to clean 100 square feet of office space was reasonable. Assuming a 95 percent confidence level, was this estimation accurate? 2. If the cleaning company had a sample of seven rather than a sample of 12 upon which to base its conclusions, what would be the boundaries of the 98 percent confidence interval for the estimate of the number of hours? Assume that the sample mean and standard deviation are equal to those calculated above. 3. What happens to the confidence bounds if the company wants to increase its confidence interval to 99%. Explain the change.