Determining standard deviation of the average contents
A machine fills cans of soda which are labeled "12 ounces" according to a normal distribution with mean 12.1 ounces and standard deviation 0.1 ounces. If I buy a 12-pack of the soda, what is the standard deviation of the average contents?
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One of the requirements of a probability distribution is that the sum of the probabilities must be 1 (with a small amount of leeway alowed for rounding errors). what is the justification for this requirement?
A trucking firm delivers appliances for a large retail operation. The packages (or crates) have a mean weight of 298 lb. and a variance of 2704. (Give your answers correct to four decimal places.)
What is a research question that you would like to answer? Write the null and research hypotheses. Would you use a one- or two-tailed test? Why?
In a large American university in 1969, the male and female professors were sample independently, yielding the following annual salaries (in thousand of dollars):
For each of the following statements, give the null hypothesis (Ho), and the alternate hypothesis (H1).
One environmental group did a study of recycling habits in a California community. It found that 72% of the aluminum cans sold in the area were recycled. (Round your answers to four decimal places.)
Calls to a customer service center last on average 1.8 minutes with a standard deviation of 1.5 minutes. An operator in the call center is required to answer 94 calls each day. Assume the call times are independent.
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Problem: Research Paper Understanding Human Perception by Human-made Illusions, Claus-Christian Carbon, Frontiers in Human Neuroscience, 2014
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