3. The manufacturer of a weight loss supplement claims that its product helps people lose weight. A study was conducted in which 36 randomly selected people took the supplement. The results are that, on average, they lost = 0.8 pounds, but with a standard deviation of s = 3.2 pounds. The null hypothesis is that the supplement had no effect on average, while the alternate hypothesis is that the supplement helped people lose some weight. a) What is the conclusion of this hypothesis test, to a 5% level of significance? b) What would the conclusion of the test be if the level of significance were relaxed to 10%?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Can you please answer 3A, and 3B
3. The manufacturer of a weight loss supplement claims that its product helps people lose weight. A study
was conducted in which 36 randomly selected people took the supplement. The results are that, on
average, they lost i = 0.8 pounds, but with a standard deviation of s = 3.2 pounds. The null hypothesis is
that the supplement had no effect on average, while the alternate hypothesis is that the supplement helped
people lose some weight.
a) What is the conclusion of this hypothesis test, to a 5% level of significance?
b) What would the conclusion of the test be if the level of significance were relaxed to 10%?
4. Rosa reads an article in a magazine that says 37% of people talk to their pets on the answering machine
or telephone. She can't believe that's true – her alternate hypothesis is that fewer than 37% of people talk
to their pets that way. So Rosa conducts a survey of 150 random pet owners, and 51 of them say yes, they
either talk to their pets on the phone or leave them a message on the answering machine. Test Rosa's
hypothesis to a 10% level of significance.
Transcribed Image Text:3. The manufacturer of a weight loss supplement claims that its product helps people lose weight. A study was conducted in which 36 randomly selected people took the supplement. The results are that, on average, they lost i = 0.8 pounds, but with a standard deviation of s = 3.2 pounds. The null hypothesis is that the supplement had no effect on average, while the alternate hypothesis is that the supplement helped people lose some weight. a) What is the conclusion of this hypothesis test, to a 5% level of significance? b) What would the conclusion of the test be if the level of significance were relaxed to 10%? 4. Rosa reads an article in a magazine that says 37% of people talk to their pets on the answering machine or telephone. She can't believe that's true – her alternate hypothesis is that fewer than 37% of people talk to their pets that way. So Rosa conducts a survey of 150 random pet owners, and 51 of them say yes, they either talk to their pets on the phone or leave them a message on the answering machine. Test Rosa's hypothesis to a 10% level of significance.
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