A paired-difference experiment dealing with the response latencies for noise detection under two situations employed a sample of twelve 9-month-old children and reported the sample mean difference of 70.1 and standard deviation of 49.4 for differences (J. Morgan and J. Saffran, Child Development, Vol. 66, pp. 911-936, 1995). In their discussion, the authors reported the p-value of less than 0.01 for a two-sided alternative. Supposing that the test uses 5% signicance level,
a. Determine the t-statistic.
b. Determine the CI (confidence interval) associated with the test.
c. Provide an interpretation of the CI in part (b).
d. Does the CI support the conclusion of hypothesis test as reported by its p-value? What can you say regarding the conclusion from hypothesis tests and CI for population means in general? Explain.