The two flavors of ice cream in a taste test are supposed to be administered to respondents in a random fashion. Suspecting that the administrators of the test did not follow the randomness rule, the project statistician examines the flavor order for the day's taste testing, shown below.
Is there evidence at the α = 0.05 level of significance to support the hypothesis that the flavor order is not random?
◦ r = 18; lower critical value = 7; upper critical value = 18
Since r ≥ 18, we reject H
0. There is sufficient evidence to support the hypothesis that the sequence is not random.
◦ r = 17; lower critical value = 6; upper critical value = 16
Since r ≥ 16, we reject H
0. There is sufficient evidence to support the hypothesis that the sequence is not random.
◦ r = 16; lower critical value = 7; upper critical value = 18
Since 7 < r < 18, we do not reject H
0. There is not sufficient evidence to support the hypothesis that the sequence is not random.
◦ r = 15; lower critical value = 6; upper critical value = 16
Since 7 < r < 18, we do not reject H
0. There is not sufficient evidence to support the hypothesis that the sequence is not random.
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A taste bud
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Taste buds of the tongue