The grade point averages(GPA) for 12 randomly selected college students are shown on the right. Complete parts(a) through(c) below.

Assume the population is normally distributed.

2.4

3.2

2.9

1.7

0.9

4.0

2.2

1.4

3.6

0.2

2.3

3.2

(a) Find the sample mean.

x=

2.33

2.33 (Round to two decimal places asneeded.)

(b) Find the sample standard deviation.

s=

1.13

1.13 (Round to two decimal places asneeded.)

(c) Construct a 90% confidence interval for the population mean .

A 90% confidence interval for the population mean is

,

.

(Round to two decimal places asneeded.)