Students at Sierra College in Rocklin, CA took a basic Arithmetic test at the beginning of their Algebra course and took the same test at the end of their Algebra course. The beginning scores for the students are showed in the first column below and the end scores are shown in the second column. Note that a single row contains the beginning and end scores for the same student. Test the claim that the mean test score at the beginning of an Algebra class is different from the mean test score at the end of an Algebra class at the 0.01 significance level.

Beginning	End
54.9	56.4
52.3	54
56	58
57.1	57.4
50.1	50.9
48.2	50.2
53.2	53.4
46.6	46.9
48.6	50.3
59.5	60.1
52.1	53.7
56.3	57.3
59.5	62.4
56	57.2
64.2	65.5
53.8	56.6
55.5	57.1
49.9	50.2
57.1	58.5
49	49.6
60.8	61.1
45.7	46.2
58.2	59

Claim: Select an answer < 0 p = 0 = 0 p < 0 0 > 0 0 p 0 p 0 0 p > 0 p 0 which corresponds to Select an answer H1: 0 H0: p 0 H1: < 0 H0: = 0 H0: 0 H0: 0 H1: > 0 Opposite: Select an answer p 0 p 0 0 0 p < 0 < 0 p 0 > 0 0 = 0 p = 0 p > 0 which corresponds to Select an answer H0: 0 H1: > 0 H0: p 0 H0: 0 H1: 0 H0: = 0 H1: < 0 The test is: Select an answer left-tailed two-tailed right-tailed The test statistic is: tt = (to 2 decimals) The P-value is: Select an answer P-value < 0.01 0.01 < P-value < 0.02 0.02 < P-value < 0.05 0.05 < P-value < 0.1 0.1 < P-value < 0.2 0.2 < P-value Based on this we: Select an answer Reject the null hypothesis Fail to reject the null hypothesis Conclusion There Select an answer does does not appear to be enough evidence to support the claim that the mean test score at the beginning of an Algebra class is different from the mean test score at the end of an Algebra class.