suppose that a word-association experiment is conducted using eight people as blocks and making a comparison of reaction times within each person; that is, each person is subjected to both stimuli in a random order. the reaction times (in seconds) for the experiment are as follows.
person stimulus 1 stimulus 2135213314422513623733824
do the data present sufficient evidence to indicate a difference in mean reaction times for the two stimuli? test using α = 0.05. (use
μ1 − μ2 = μd.)
state the null and alternative hypotheses.
h0: μd = 0 versus ha: μd ≠ 0h0: μd = 0 versus ha: μd < 0 h0: μd ≠ 0 versus ha: μd = 0h0: μd = 0 versus ha: μd > 0h0: μd < 0 versus ha: μd > 0
state the test statistic. (round your answer to three decimal places.)
t =
state the rejection region. (if the test is one-tailed, enter none for the unused region. round your answers to three decimal places.)
t > t <
state the conclusion.
h0 is rejected. there is sufficient evidence to indicate a significant difference between the stimuli. h0 is not rejected. there is sufficient evidence to indicate a significant difference between the stimuli. h0 is not rejected. there is insufficient evidence to indicate a significant difference between the stimuli. h0 is rejected. there is insufficient evidence to indicate a significant difference between the stimuli