In: Statistics and Probability
5.35 Gaming and distracted eating, Part I: A
group of researchers are interested in the possible effects of
distracting stimuli during eating, such as an increase or decrease
in the amount of food consumption. To test this hypothesis, they
monitored food intake for a group of 44 patients who were
randomized into two equal groups. The treatment group ate lunch
while playing solitaire, and the control group ate lunch without
any added distractions. Patients in the treatment group ate 52.1
grams of biscuits, with a standard deviation of 45.1 grams, and
patients in the control group ate 27.1 grams of biscuits, with a
standard deviation of 26.4 grams. Do these data provide convincing
evidence that the average food intake (measured in amount of
biscuits consumed) is different for the patients in the treatment
group? Assume that conditions for inference are satisfied.
What are the hypotheses for this test?
The test statistic for the hypothesis test
is: (please round to two decimal places)
The p-value for the hypothesis test is: (please
round to four decimal places)
Interpret the result of the hypothesis test in the context of the
study: