A random sample of 30 varieties of cereal was selected. The average number of calories per serving for these cereals is x̄ = 120. Assuming that σ = 10, find a 95% confidence interval for the mean number of calories, μ, in a serving of cereal.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A random sample of 30 varieties of cereal was selected. The average number of calories per serving for these cereals is x̄ = 120. Assuming that σ = 10, find a 95% confidence interval for the mean number of calories, μ, in a serving of cereal.

A university planner wants to determine the proportion of undergraduate students who plan to attend graduate school. She surveys 54 current students and finds that 27 would like to continue their education in graduate school. Which of the following is the correct 90% confidence interval estimate for the proportion of undergraduates who plan to attend graduate school?

What sample size should be used if we would like to estimate the mean age of the college students at a particular campus with 95% confidence? We would like to be accurate to within three years, and we will assume the population is normally distributed with a standard deviation of 5.1 years.

The manager of a department store wants to determine the proportion of customers who use the store's credit card when making a purchase. What sample size should he select so that at 96% confidence the error will not be more than 10%?

 random sample of 15 employees was selected. The average age in the sample was 31 years with a variance of 49 years. Assuming ages are normally distributed, the 98% confidence interval for the population average age is _____.

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