H₀: _D 0; H_A: _D < 0 dd = 2.8, s_D = 5.7, n = 12 The following results are obtained using matched samples from two normally distributed populations: a-1. Calculate the value of the test statistic, assuming that the sample difference is normally distributed. (Negative value should be indicated by a minus sign. Round final answers to 3 decimal places.) a-2. Find the p-value. multiple choice 1

• p-value < 0.01
• 0.01 p-value < 0.025
• 0.025 p-value < 0.05
• 0.05 p-value < 0.10
• p-value 0.10

b. At the 5% significance level, what is the conclusion to the hypothesis test? multiple choice 2

• Reject H₀ since the value of the p-value is less than the significance level.
• Reject H₀ since the value of the p-value is not less than the significance level.
• Do not reject H₀ since the value of the p-value is less than the significance level.
• Do not reject H₀ since the value of the p-value is not less than the significance level.

c. Interpret the results at = 0.05. multiple choice 3

• We can conclude that the mean difference differs from zero.
• We cannot conclude that the mean difference differs from zero.
• We conclude that that the mean difference is less than zero.
• We cannot conclude that the mean difference is less than zero.