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2. (25pts) The decrease in cholesterol level after eating a certain brand of oatmeal for breakfast...

2. (25pts) The decrease in cholesterol level after eating a certain brand of oatmeal for breakfast for one month in people with cholesterol levels is Normally distributed. A random sample of 25 adults was selected and mean 8.5 and standard deviation 3. The brand advertises that eating its oatmeal for breakfast daily for one month will produce a mean decrease in cholesterol of more than 10 units for people with cholesterol levels. (α= 0.05)

a. Is there enough evidence to suggest that the mean decrease in cholesterol is actually less than advertised?

b. Given your conclusion, are you at risk of making a Type I error or a Type II error? Provide your answer in the context of the problem.

c. Report a 95% one-sided confidence interval for the mean decrease in cholesterol.

d. What is the power of the test?

Math   Statistics-And-Probability   
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Answer #1

a)

b)

since we reject Ho

we may risk of making type i error

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