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1. The daily water consumption for an Ohio community is normally distributed with a mean consumption of 800,000 gallons and a standard deviation of 80,000 gallons. The community water system will experience a noticeable drop in water pressure when the daily water consumption exceeds 984,000 gallons. What is the probability of experiencing such a drop in water pressure?
2. Suppose the times required for a cable company to fix cable problems in its customers' homes are uniformly distributed between 10 minutes and 25 minutes. What is the probability that a randomly selected cable repair visit will take at least 15 minutes?
3. Suppose the waiting time to get food after placing an order at a fast-food restaurant is exponen- tially distributed with a mean of 60 seconds. If a randomly selected customer orders food at the restaurant, what is the probability that the customer will wait at least:
a. 90 seconds?
b. Two minutes?
The average weekly earnings of the plumbers in a city is [Mu=$750] with a standard deviation of [s=$40]. Assume that we select a random sample of [n=64 plumbers], what is the probability that the sample mean [x] will be greater than $740 or greater t..
Cars arrive at a car wash randomly and independently; the probability of an arrival is the same for any two time intervals of equal length. The mean arrival rate is 15 cars per hour. A) What is the probability that 12 or more cars will arrive during..
Regression analysis is one of the most widely used statistical techniques in the social sciences. So, what is it? In your answer, apply some of the techniques we have learned to regression - e.g., point estimates, interval estimates, test statistics,..
The personnel director of a large corporation wants to study absenteeism among clerical workers at the corporation's central office during the year. A random sample of 25 clerical workers reveals the following. Absenteeism: X=9.7 days, S=4.0 days. 12..
Based on interviews with 81 SARS patients, researchers found that the mean incubation period was5 days, with a standard deviation of 15.7 days. Based on this information construct a 95% confidence interval for the mean incubation period of SA..
Explain why you would choose the specific test.
Given a business situation word problem or case study such as one dealing with processing time or quantity of fill, use the normal probability distribution to determine a course of action.
A package contains 18 candy canes, 13 of which are cracked. If 4 are selected, find the probability of getting exactly four cracked candy canes.
A customer service center keeps track of the number of complaints received each day about one of their new products. The number of complaints received over the last 11 day period are 19, 18, 22, 21, 17, 18, 22, 19, 16, 23, and 25. The IQR for this sa..
The manager of a furniture company has collected data on the amount of money spent on advertising and sales revenue for the last ten months. The data is as follows
A large company is interested in knowing whether there is any relationship between a persons age and that persons opinion about a new wage incentive plan. A random sample of 100 employees was selected and cross- classified as shown below.
X=54 n=36 o=5.6 Ho: u=56 Ha: u
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