Question

The grade point average of 4 randomly selected college students is recorded at the end of the fall and spring semesters of their senior year, as follows:

Student	1	2	3	4
Fall	2.5	1.8	2.2	3.3
Spring	1.6	2.5	2.5	2.8

Round your answers to three decimal places.

(a). The mean difference in GPA (Spring - Fall) is:  

(b). The standard deviation of the difference in GPA (Spring - Fall) is:

(c). Using your answers from above, construct a 95% confidence interval for the mean difference in GPA (Spring - Fall):

Lower bound = and Upper bound =

Answer 1

The statistical software output for this problem is:

Hence,

a) Mean difference = -0.1

b) Standard deviation = 0.730

c) Lower bound = -1.262

Upper bound = 1.062

answered by: anonymous