a) A die is rolled 10 times, and the ace comes up 5 times. Is the die loaded to favor aces? Perform a significance test with significance 0.05.

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Name the distributions most appropriate
for these problems and answer:
a) A die is rolled 10 times, and the ace
comes up 5 times. Is the die loaded to
favor aces? Perform a significance test
with significance 0.05.
b) A die is rolled 100 times, and the ace
comes up 20 times. Is the die loaded to
favor aces? Perform a significance test
with significance 0.05.
c) A piece of cloth is supposed to have an
average of 10 defects per square meter,
but a one meter square sample of cloth
has only 2 defects. At a 0.05 confidence
level: can we say that this cloth has fewer
defects than average?
Transcribed Image Text:Name the distributions most appropriate for these problems and answer: a) A die is rolled 10 times, and the ace comes up 5 times. Is the die loaded to favor aces? Perform a significance test with significance 0.05. b) A die is rolled 100 times, and the ace comes up 20 times. Is the die loaded to favor aces? Perform a significance test with significance 0.05. c) A piece of cloth is supposed to have an average of 10 defects per square meter, but a one meter square sample of cloth has only 2 defects. At a 0.05 confidence level: can we say that this cloth has fewer defects than average?
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