Reference no: EM132495231
Consider the following competing hypotheses: (You may find it useful to reference the appropriate table: z table or t table)
Hypotheses: H0: μD ≤ 2; HA: μD > 2
Sample results: d - d- = 5.6, sD = 6.2, n = 10
The following results are obtained using matched samples from two normally distributed populations:
a. Calculate the value of the test statistic, assuming that the sample difference is normally distributed. (Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
Find the p-value.
-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
c. Use the 1% significance level to make a conclusion.
-Reject H0 since the p-value is less than α.
-Reject H0 since the p-value is more than α.
-Do not reject H0 since the p-value is less than α.
-Do not reject H0 since the p-value is more than α.
d. Interpret the results at α = 0.01.
-We conclude that that the mean difference is greater than 2.
-We cannot conclude that the mean difference is greater than 2.
-We can conclude that the mean difference differs from zero.
-We cannot conclude that the mean difference differs from zero.