I need to check my answer to C rounded to 4 decimals

One group of accounting students took a distance learning class, while another group took the same course in a traditional classroom. At = .10, is there a significant difference in the mean scores listed below?

Exam Scores for Accounting Students

Statistic Distance Classroom

Mean scores

x1

= 9.1

x2

= 10.3

Sample std. dev. s1 = 2.4 s2 = 2.5

Number of students n1 = 20 n2 = 20

(a) Choose the appropriate hypotheses. Assume 1 is the mean score of distance learning and 2 is the mean score of classroom learning.

a. H0: 1 - 2 0 vs. H1: 1 - 2 < 0

b. H0: 1 - 2 = 0 vs. H1: 1 - 2 0

c. H0: 1 - 2 0 vs. H1: 1 - 2 > 0

multiple choice 1

a

b

c

(b) Specify the decision rule. (Round your answers to 3 decimal places. A negative value should be indicated by a minus sign.)

Reject the null hypothesis if tcalc <

-1.686

or tcalc >

1.686

.

(c) Find the test statistic tcalc. (Round your answer to 4 decimal places. A negative value should be indicated by a minus sign.)

tcalc

-1.5500

(d-1) Make a decision.

We

do not reject

the null hypothesis.

(d-2) State your conclusion.

We

cannot

conclude that there is a significant difference in the mean scores of distance learning and classroom learning.

(e-1) Use Excel to find the p-value. (Round your answer to 3 decimal places.)

p - value

.1294

(e-2) Interpret the p-value.

We

do not reject

the null hypothesis.