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A trucking firm delivers appliances for a large retail operation. The packages (or crates) have a mean weight of 303 lb. and a variance of 2809. (Give your answers correct to four decimal places.)
(a) If a truck can carry 4110 lb. and 21 appliances need to be picked up, what is the probability that the 21 appliances will have an aggregate weight greater than the truck's capacity? Assume that the 21 appliances represent a random sample.
(b) If the truck has a capacity of 8140 lb., what is the probability that it will be able to carry the entire lot of 21 appliances?
A random variable is normally distributed with a mean of 25 and a standard deviation of 5. If an observation is randomly selected from the distribution:
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One-half of a sample receives an incentive in a mail survey. The other half does not. A comparison of response rates is desired.
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In our discussions of basic probability theory the concepts of mutually exclusive events and independent events share prominent roles. Please explain these concepts and in particular address the question
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What additional information is obtained from measurements on an interval scale compared to measurements on an ordinal scale?
If a random sample of 10 people found that 9 were pro-life (i.e., 90%), while another random sample of 1,000 people from the same population found that 550 were pro-life (i.e., 55%), which would you find more significant?
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