Exercise 4.11.1 determine whether the following set of vectors is orthogonal. if it is orthogonal, determine whether it is also orthonormal.   1 6 √ 2 √ 3 1 3 √ 2 √ 3 − 1 6 √ 2 √ 3  ,   1 2 √ 2 0 1 2 √ 2  ,   − 1 3 √ 3 1 3 √ 3 1 3 √ 3   if the set of vectors is orthogonal but not orthonormal, give an orthonormal set of vectors which has the same span

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.