Use the given probability value to determine whether the sample results could easily occur by​ chance, then form a conclusion.   A study on the enhancing effect of coffee on​ long-term memory found that 35 participants given 200 mg of caffeine performed better on a memory test 24 hours later compared to the placebo group that received no caffeine. a. There was a probability of 0.049 that the difference between the coffee group and the placebo group was due to chance. What do you​ conclude? b. A group given a higher dose of 300 mg performed better than the 200 mg​ group, with a probability of 0.75 that this difference is due to chance. What do you​ conclude? a. The probability shows that the sample results ▼   could not could have easily occurred by chance. It appears that there ▼   is is not sufficient evidence to conclude that 200 mg of caffeine does have an effect on memory. b. The probability shows that the sample results ▼   could could not have easily occurred by chance. It appears that there ▼   is is not sufficient evidence to conclude that the effects from the 300 mg treatment and the 200 mg treatment are different.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Use the given probability value to determine whether the sample results could easily occur by chance, then form a conclusion.
 
A study on the enhancing effect of coffee on long-term memory found that 35 participants given 200 mg of caffeine performed better on a memory test 24 hours later compared to the placebo group that received no caffeine.
a. There was a probability of 0.049 that the difference between the coffee group and the placebo group was due to chance. What do you conclude?
b. A group given a higher dose of 300 mg performed better than the 200 mg group, with a probability of 0.75 that this difference is due to chance. What do you conclude?
a. The probability shows that the sample results
 
could not
could
have easily occurred by chance. It appears that there
 
is
is not
sufficient evidence to conclude that 200 mg of caffeine does have an effect on memory.
b. The probability shows that the sample results
 
could
could not
have easily occurred by chance. It appears that there
 
is
is not
sufficient evidence to conclude that the effects from the 300 mg treatment and the 200 mg treatment are different.
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