Candy is interested in the reading speed of the students in her class. She administers a reading test by randomly selecting 15 students from the class. The time (in minutes) each student spends completing the test is listed below:

28, 20, 34, 45, 34, 25, 37, 45, 29, 32, 29, 22, 16, 32, 15

To construct the 90% confidence interval of the average reading speed of Candy's students, please help Candy obtain the following values.

(a) The standard error of the sample mean.

(1 mark)

(b) The t-statistic needed to estimate the students' average reading speed. (Round to two (2) decimal places.)

(1 mark)

(c) The 90% confidence interval. (Round to two (2) decimal places.)