The sugar content in a one-cup serving of a certain breakfast cereal was measured for a sample of 140 servings. The average was 11.9 g and the standard deviation was 1.1 g. a. Find a 95% confidence interval for the mean sugar content. b. Find a 99% confidence interval for the mean sugar content. c. What is the confidence level of the interval (11.81, 11.99)?
The sugar content in a one-cup serving of a certain breakfast cereal was measured for a sample of 140 servings. The average was 11.9 g and the standard deviation was 1.1 g.
a. Find a 95% confidence interval for the mean sugar content.
b. Find a 99% confidence interval for the mean sugar content.
c. What is the confidence level of the interval (11.81, 11.99)?
d. How large a sample is needed so that a 95% confidence interval specifies the mean to within±0.1?
e. How large a sample is needed so that a 99% confidence interval specifies the mean to within±0.1?
f. Find a 95% upper confidence bound for the mean sugar content.
g. The claim is made that the mean sugar content is greater than 11.7g. With what level of confidence can this statement be made?
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