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A person plans to start an Internet service provider in a large city. The plan requires an estimate of the average number of minutes of Internet use of a household in a week. How many households must be (randomly) sampled to be 95% sure that the sample mean is within 15 minutes of the population mean? Assume that a pilot study estimated the value of σ = 35 minutes.
Given the recursively defined sequence a_1= 0, a_2= -30, and a_n=8a_n-1 -15a_n-2, use complete induction to prove that a_n=5*3^n - 3*5^n for all positive integers n.
the life time t of a durable substance is an exponential distributed ramdom varialble with average 1.5 year
25% of the residents garden. If 5% of the residents play poker and garden, find the probability that a resident plays poker, given that they also garden.
P (Z ≥ 1.75) where Z is a standard normal distribution with 10 degrees of freedom. Compare this result to the results obtained in parts (a) and (b). How do you explain the difference in these probabilities?
Simplify the arithmetic by first subtracting 80 points from each score to obtain a new sample of 2, 8, 2, and 6. Then, compute the mean and standard deviation for the new sample.
The breaking strengths of cables produced by a certain manufacturer have a standard deviation of 82 pounds. A random sample of 150 newly manufactured cables has a mean breaking strength of 1950 pounds.
a student must answer 43 or more questions correctly to obtain a grade of a. what percentage of the students who have
q1. records on a fleet of trucks reveal that the average life of a set of spark plugs is normally distributed with a
How much production capacity should the manufacturer reserve for the last day?
in a random sample of 70 prospectuses in which sales forecasts were disclosed the mean debt to equity ratio prior to
Check that V is a vector space over the field of real numbers, using addition of vectors {see attachment} and scalar multiplication {see attachment}.
Using your own words, tell me what the difference is between a normal distribution and a standard normal distribution.
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