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1. At a department store catalog orders counter, the average time that a customer has to wait before being served has been found to be approximately exponentially distributed, with a mean (and standard deviation) of 3.5 minutes. For a simple random sample of 36 recent customers, invoke the central limit theorem and determine the probability that their average waiting time was at least 4.0 minutes.
2. It has been reported that the average U.S. teenager sends 80 text messages per day. For purposes of this exercise, we will assume the daily number of text messages sent is normally distributed with a standard deviation of 15.0 messages. For a randomly selected group of 10 teenagers, and considering these persons to be a simple random sample of all U.S. teens, what is the probability that the group will send at least 900 text messages (i.e., a sample mean of at least 90 messages per teen) next Wednesday?
Source: healthnews.com, May 27, 2009.
1.below is a normal plot of residuals from a regression. does the plot indicate any problems with the assumption that
a man recorded the leading digits of the sizes of files stored on his computer. they have frequencies of 45 32 18 12 9
A customer receives a defective product. What is the probability that it came from Binford? What assumptions did you make to answer this question?
A company's headquarters is located in downtown Chicago. The company is interested to know the mean driving time of its employees if they require their employees to start working at 6:00 am. Fifty employees are randomly sampled over four weeks and..
During a professor's office hours, students arrive, on average, every ten minutes. Assume that the distribution of the time between arrivals follows an exponential distribution. Suppose that a student has just left.
Glenn Foreman, president of Oceanview Development Corporation, is considering submitting a bid to purchase property that will be sold by sealed bid at a county tax foreclosure. Glenn's initial judgment is to submit a bid of $5 million. Based on his e..
the lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15
the u.s. dairy industry wants to estimate the mean yearly milk consumption. a sample of 17 people reveals the mean
At the school there are eight tenured faculty members in accounting. What is the probability that the committee will contain: None of them?
Thirty-five sophomores, 37 juniors and 37 seniors are randomly selected from 247 sophomores, 413 juniors and 348 seniors at a certain high school. What sampling technique is used?
How many ships must be included in the sample if the CEO wants the error to be within 0.02 and a confidence level of 95% if: there is no information available that could be used as an estimate of the population proportion?
a lumber mill is tested for consistency by measuring the variance of board thickness. the target accuracy a variance of
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