A manufacturer claims that drinking a particular type of tea daily will reduce the weight of a population by 12% over a fixed period. 70 people were recruited from the population to test the manufacturer's claim. The weight of each participant was measured at the start and the end of the study. The mean weight loss of the participants was found to be 8.1% with a standard deviation of 6.5%. Is the manufacturer's claim valid at a 1% level of significance? State clearly: (c) i. the null hypothesis and the alternative hypothesis, ii. whether a one-tailed or two-tailed test should be used and why, ii. which distribution table should be used and why, and iv. the degrees of freedom.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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(c)
A manufacturer claims that drinking a particular type of tea
daily will reduce the weight of a population by 12% over a
fixed period. 70 people were recruited from the population
to test the manufacturer's claim. The weight of each
participant was measured at the start and the end of the
study. The mean weight loss of the participants was found
to be 8.1% with a standard deviation of 6.5%. Is the
manufacturer's claim valid at a 1% level of significance?
State clearly:
i. the null hypothesis and the alternative hypothesis,
ii. whether a one-tailed or two-tailed test should be used
and why,
iii. which distribution table should be used and why, and
iv. the degrees of freedom.
Transcribed Image Text:(c) A manufacturer claims that drinking a particular type of tea daily will reduce the weight of a population by 12% over a fixed period. 70 people were recruited from the population to test the manufacturer's claim. The weight of each participant was measured at the start and the end of the study. The mean weight loss of the participants was found to be 8.1% with a standard deviation of 6.5%. Is the manufacturer's claim valid at a 1% level of significance? State clearly: i. the null hypothesis and the alternative hypothesis, ii. whether a one-tailed or two-tailed test should be used and why, iii. which distribution table should be used and why, and iv. the degrees of freedom.
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