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? OHo: Hno distraction = Hdistraction Ha: Pno distraction * Pdistraction Ho: Hno distraction - Hdistraction Ha: Pno distraction * Hdistraction OHo: Hno distraction " Hdistraction Ha: Pno distraction > Hdistraction The test statistic for the hypothesis test is: (please round to two decimal places) The p-value for the hypothesis test is:

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
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9:26
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?
O Ho: Pno distraction Hdistraction
Ha: Pno distraction Pdistraction
O Ho: Pno distraction = Pdistraction
Ha: Pno distraction * Pdistraction
O Ho: Hno distraction - Pdistraction
Ha: Pno distraction > Pdistraction
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:
O Since p < a we do not have enough evidence to
reject the idea that the average biscuit consumption
in the two groups was the same
Since p < a we have enough evidence to reject the
idea that the average biscuit consumption in the two
groups was the same, and accept the alternative
that distracted eaters will eat more than non-
distracted eaters, on average
O Since p < a we have enough evidence to accept the
idea that the average biscuit consumption in the two
groups was the same
O Since p < a we have enough evidence to reject the
idea that the average biscuit consumption in the two
groups was the same, and accept the alternative
that distracted eaters will eat a different amount
than non-distracted eaters, on average
A myopenmath.com – Private
Transcribed Image Text:9:26 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? O Ho: Pno distraction Hdistraction Ha: Pno distraction Pdistraction O Ho: Pno distraction = Pdistraction Ha: Pno distraction * Pdistraction O Ho: Hno distraction - Pdistraction Ha: Pno distraction > Pdistraction 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: O Since p < a we do not have enough evidence to reject the idea that the average biscuit consumption in the two groups was the same Since p < a we have enough evidence to reject the idea that the average biscuit consumption in the two groups was the same, and accept the alternative that distracted eaters will eat more than non- distracted eaters, on average O Since p < a we have enough evidence to accept the idea that the average biscuit consumption in the two groups was the same O Since p < a we have enough evidence to reject the idea that the average biscuit consumption in the two groups was the same, and accept the alternative that distracted eaters will eat a different amount than non-distracted eaters, on average A myopenmath.com – Private
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