Are very young infants more likely to imitate actions that aremodeled by a person or simulated by an object? This question wasthe basis of a research study. One action examined was mouthopening. This action was modeled repeatedly by either a person or adoll, and the number of times that the infant imitated the behaviorwas recorded. Twenty-seven infants participated, with 12 exposed toa human model and 15 exposed to the doll. Summary values are shownbelow.
| Person Model | Doll Model |
---|
x | 5.10 | 3.48 |
s | 1.60 | 1.30 |
Is there sufficient evidence to conclude that the mean number ofimitations is higher for infants who watch a human model than forinfants who watch a doll? Test the relevant hypotheses using a 0.01significance level. (Use a statistical computer package tocalculate the P-value. Use ?Person ??Doll. Round your test statistic to two decimalplaces, your df down to the nearest whole number, and yourP-value to three decimal places.)
t=
df=
P-value=
State your conclusion.
We reject H0. We do not have convincingevidence that the mean number of imitations is higher for infantswho watch a human model than for infants who watch a doll.
We do not reject H0. We have convincingevidence that the mean number of imitations is higher for infantswho watch a human model than for infants who watch adoll.
We reject H0. We have convincing evidencethat the mean number of imitations is higher for infants who watcha human model than for infants who watch a doll.We do not rejectH0.
We do not have convincing evidence that the mean number ofimitations is higher for infants who watch a human model than forinfants who watch a doll.