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Sox Engineering designs and constructs air conditioning and heating HVAC systems for hospitals and clinics. Currently the company’s staff is overloaded with design work. There is a major design projec
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IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. a. What is the difference between Einstein’s IQ and the mean? b. How many standard deviations is that? c. Convert Einstein’s IQ score to a z score. d
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A farmer has 100 acres of land which he has decided to make part arable and part grass. Part of the land may also lie fallow. He can make an annual prot of $150/acre from arable land $100/acre from gr
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The Bank of Hawaii reports that 7% of its credit card holders will default at some time in their life. The Hilo branch just mailed out 12 new cards today. a. How many of these new cardholders would you expect to default? What is the standard deviation?
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A Canadian male has recently had a Prostate Specific Antigen (PSA) test as to determine if he has prostate cancer. The false-positive rate of a PSA test is 14%. If he does have prostate cancer, PSA test will be positive 80% of the time. Because this male
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Statistics and Probability
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Calculate the mean and standard deviation for the following set of data. 1, 3, 4, 5, 7, 6, 8, 9, 10, 12
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Statistics and Probability
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Is the spring force linear?
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Statistics and Probability
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Someone has two job offers and must decide which to accept. The job in City A pays $47,000 and the average cost of living there is $65,000 with a standard deviation of $15,000. The job in City B pays $70,000 but the average cost of living there is $85,000
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An individual who has auto insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The PD of Y is gi
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Statistics and Probability
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A National Center for Health Statistics report based on 1985 data states that 30 percent of American adults smoke. Consider a simple random sample of 17 adults. Find the probability that the number of smokers in the sample will be between 5 and 9, inclusi
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Statistics and Probability
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Do you want to own your own candy store? Wow! With some interest in running your own business and a decent credit rating, you can probably get a bank loan on startup costs for franchises such as Candy Express, The Fudge Company, Karmel Corn, and Rocky Mou
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Statistics and Probability
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The mean preparation fee H&R Block charged retail customers last year was $183. Use this price as the population mean and assume the population standard deviation of preparation fees is $50. a. Supposed you have a sample of 30 customers. What is the expec
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An LG Dishwasher, which costs $950, has a 25% chance of needing to be replaced in the first 2 years of purchase. A two-year extended warranty costs $112.10 on a dishwasher. Assume the dishwasher is replaced in the first 2 years. a) Write out the probabili
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A sample of air quality index readings for Anaheim provided a sample mean of 48.5 and a sample variance of 136, and a sample standard deviation of 11.66. What comparisons can you make between the air
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Consider the following midterm scores from one statistics course: 90, 88, 86, 84, 82, 80, 77, 74, 72, 70, 0. There is an outlier and you want to exclude the effects of this outlier on the measures of central tendency and dispersion. What is the value of K
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Statistics and Probability
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Steel construction beams, with an industry designation of ~”W12 x 22,”~ have a weight of 19 pounds per foot. A new business in town has hired you to place its sign on a 4.0 m long steel beam of this
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Statistics and Probability
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Here are the IQ test scores of 31 Seventh-Grade Girls in A Midwest School District: 114 100 104 89 102 91 114 114 103 105 108 130 120 132 111 128 118 119 86 72 111 103 74 112 107 103 98 96 112 112 93
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Borachio works in an automotive tire factory. The number X of sound but blemished tires that he produces on a random day has the probability distribution |X| 2| 3| 5| 5 |P(x)| 0.48| 0.36| 0.12| 0.04 For the following, don’t round the numbers. a) Find the
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The probability that an employee will be late to work at a large corporation is 0.21. What is the probability on a given day that in a department of 5 employees at least 3 are late?
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A retail outlet for calculators sells 800 calculators per year. It costs $2 to store one calculator for a year. To reorder, there is a fixed cost of $8, plus $2.25 for each calculator. How many times per year should the store order calculators, and in wha
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The weights of the fish in a certain lake are normally distributed with a mean of 15 lbs. and a standard deviation of 6 lbs. If a sample of 5 fish is taken from the lake, find the probability their me
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Statistics and Probability
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A new car worth $27,000 is depreciating in value by $3000 per year. a. Write a formula that models the car’s value, y, in dollars, after x years. b. Use the formula from part (a) to determine after how many years the car’s value will be $18,000.
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Statistics and Probability
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Lead and copper in drinking water. Periodically, the Hillsborough County (Florida) Water Department tests the drinking water of homeowners for contaminants such as lead and copper. The lead and copp
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The probability distribution gives the potential cost of routine maintenance and major repairs in the first 5 years you own a car. What is the expected cost of routine maintenance and major repairs fo
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Statistics and Probability
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A car rental company has compact disc (CD) players in 85% of its cars. The CD players are randomly distributed throughout the fleet of cars. If a person rents four cars, what is the probability that at least three of them will have CD players? a. 15% b. 3
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Uber fares in a metropolitan city are known to follow a normal distribution with an average fare of $25.00 and a standard deviation of $3.00. If an Uber driver on a morning shift had 20 customers, what is the probability that the average fare per trip dur
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A soft drink company uses a filling machine to fill cans. Each 12 oz. can is to contain 355 milliliters of beverage. In fact, the amount varies according to a normal distribution with mean mu = 355.2
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One method for straightening wire before coiling it to make a spring is called “roller straightening.” The article “The Effect of Roller and Spinner Wire Straightening on Coiling Performance and Wire
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Nick got a bag full of colorful jelly beans. There were 40 of them: 10 were red, 4 were yellow, 5 were orange, and 11 were blue. After shaking the bag, he randomly selected two jelly beans from the bag. What’s the probability that the first one was yellow
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A bin contains six parts. Two of the parts are defective and four are acceptable. a. If three of the six parts are selected from the bin, how large is the sample space? b. Which counting rule did you use, and why? c. For this sample space, what is the pro
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fail to reject the null hypothesis that the proportion of breakaway base with injuries is the same or less than that for stationary bases. There is not sufficient evidence to suggest that the use of breakaway bases might not reduce injuries.
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Statistics and Probability
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Reader’s Digest ran a sweepstakes in which the prizes were listed along with the chances of winning: $1,000,000 (1 chance in 90,000,000), $100,000 (1 chance in 110,000,000), $25,000 (1 chance in 110,0
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Statistics and Probability
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The Excel file Auto Survey contains a sample of data about vehicles owned, whether they were purchased new or used, and other types of data. Use the Descriptive Statistic tool to summarize the numeric
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Statistics and Probability
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An investor is keeping a careful eye on the real estate markets in Las Vegas and the Inland Empire. The following are her predictions for the real estate market in 2016. With 0.32 probability, foreclosures will increase in Las Vegas. With 0.46 pro
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Statistics and Probability
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The state of Michigan has just changed one of its toll roads from the human collection of tolls to machine collection. The idea behind the change was to allow traffic to flow more smoothly through the toll plaza. With human attendants, the mean number of
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Statistics and Probability
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Chicago O’Hare and Atlanta Hartsfield-Jackson are the two busiest airports in the United States. The congestion often leads to delayed flight arrivals as well as delayed flight departures. The Bureau of Transportation tracks the on-time and delayed perfor
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The total cholesterol levels of a sample of men aged 35-44 are normally distributed with a mean of 224 milligrams per deciliter and a standard deviation of 38.9 milligrams per deciliter. (a) What percent of the men have a total cholesterol level, less tha
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Statistics and Probability
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Consumer Reports indicated that the average life of a refrigerator before replacement is 14 years, with a range of 9 to 19 years for 95 % of refrigerators. Let x = the age in years when a refrigerator is replaced. Assume x is normally distrib
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Statistics and Probability
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A typical adult has an average IQ score of 105 with a standard deviation of 20. If twenty five randomly selected adults are given an IQ test, what is the probability that the sample mean scores will be between 100 and 115 points?
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Suppose that a candy company packages a bag of jelly beans whose weight is supposed to be 30 grams, but in fact, the weight varies from bag to bag according to a normal distribution with mean mu = 30
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