Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103. she reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.03)x − 1. after combining the two functions, the new function is g(x) = 103(1.03)x − 1. using complete sentences, explain what this new function means.

The survey of study habits and attitudes (ssha) is a psychological test that measures the motivation, attitude toward school, and study habits of students, scores range from 0 to 200. the mean score for u. s. college students is about 115, and the standard deviation is about 30. a teacher who suspects that older students have better attitudes toward school gives the ssha to 55 students who are at least 30 years of age. the mean score is 113.2. assume the population standard deviation is 30 for older students what is the margin of error for a 95% confidence interval for the population mean score for a. older students? b. compute the 95% confidence interval for the population mean score for older students. c. compute the 99% confidence interval for the population mean score for older students. d. compute the 88% confidence interval for the population mean score for older students.