Problem Solving. Solve the following problems. Show all pertinent solutions. No immediate rounding. Round off final answers to three decimal places.4. A sample of 30 male and 30 female students were equipped with a device that records sound for one day. Data about number of words spoken per day are presented below: Males Females Mean 16177 16569 Standard 7520 9108 Deviation Construct a 99% confidence interval for the difference in the mean number of words spoken by males and females. Using this confidence interval, can you support the claim that females talk more than males? Assume the population variances to be unknown and unequal. (3 pts)