Mathematics problem solving

1. A city official considers the demand for bus transportation (in number of bus

1. A city official considers the demand for bus transportation (in number of bus riders) as a function of two variables: x = price of a bus ride in dollars, and y = price of parki…

1. A civil engineer is analyzing the compressive strength of concrete. Compressi

1. A civil engineer is analyzing the compressive strength of concrete. Compressive strength is approximately normally distributed with variance of 1000 psi2. A random sample of 12…

1. A civil engineer is analyzing the compressive strength of concrete. Compressi

1. A civil engineer is analyzing the compressive strength of concrete. Compressive strength is approximately normally distributed with variance of 1000 psi2. A random sample of 12…

1. A class survey in a large class for first-year college students asked, \"Abou

1. A class survey in a large class for first-year college students asked, "About how many hours do you study in a typical week?". The mean response of the 434 students was xx¯ = 1…

1. A class survey in a large class for first-year college students asked, \"Abou

1. A class survey in a large class for first-year college students asked, "About how many minutes do you study on a typical weeknight?" The mean response of the 463 students was x…

1. A classroom has 30 students, what is the probability that two students were b

1. A classroom has 30 students, what is the probability that two students were born on the same day? Assume that birth dates are equally likely to occur any day of the year. 2. In…

1. A clinical psychologist wants to determine whether group therapy sessions are

1. A clinical psychologist wants to determine whether group therapy sessions are effective in treating anxiety disorders. He has 20 clients from a therapy group complete an anxiet…

1. A clinical tri randomly assigned to receive the new medication or a placebo.

1. A clinical tri randomly assigned to receive the new medication or a placebo. The outcome is pain relief within 30 minutes. The data are shown below. al is conducted comparing a…

1. A clinical tri randomly assigned to receive the new medication or a placebo.

1. A clinical tri randomly assigned to receive the new medication or a placebo. The outcome is pain relief within 30 minutes. The data are shown below. al is conducted comparing a…

1. A clinical trial was conducted to compare an experimental medication to a pla

1. A clinical trial was conducted to compare an experimental medication to a placebo to reduce the symptoms of asthma. One hundred patients were randomized to receive either the e…

1. A coffee is interested in daily consumption of coffee drinkers The informatio

1. A coffee is interested in daily consumption of coffee drinkers The information is summarized below. Statistic Regular coffee drinkers Decaffeinated coffee drinkers Sample size …

1. A coffee shop wants to know the temperature of coffee that most people prefer

1. A coffee shop wants to know the temperature of coffee that most people prefer, they ask their customers “Do you prefer coffee to be a lot colder, a little cooler, this temperat…

1. A cohort study is conducted to assess the associa- tion between clinical char

1. A cohort study is conducted to assess the associa- tion between clinical characteristics and the risk of stroke. The study involves n = 1250 participants who are free of stroke…

1. A cohort study is conducted to assess the association between clinical charac

1. A cohort study is conducted to assess the association between clinical characteristics and the risk of stroke. The study involves n=1,250 participants who are free of stroke at…

1. A coin has P(T) = 2/5. If it is tossed five times in succession, find the pro

1. A coin has P(T) = 2/5. If it is tossed five times in succession, find the probability of getting            a. Exactly two head;            b. At most one head;            c. A…

1. A coin is tossed until a head appears twice in a row. If the coin is fair, wh

1. A coin is tossed until a head appears twice in a row. If the coin is fair, what is the probability that it will be tossed a) exactly 4 times, b) exactly 6 times? .lP(Ak) for an…

1. A coin is tossed until a head appears twice in a row. If the coin is fair, wh

1. A coin is tossed until a head appears twice in a row. If the coin is fair, what is the probability that it will be tossed a) exactly 4 times, b) exactly 6 times? .lP(Ak) for an…

1. A college admissions department wants to determine if there is a relationship

1. A college admissions department wants to determine if there is a relationship between students’ family income (annual income amount) and students’ SAT scores. 2. A child care c…

1. A college admissions officer for the school’s online undergraduate program cl

1. A college admissions officer for the school’s online undergraduate program claims the mean age of online undergraduate students is 23 years of age. What is the probability that…

1. A college admissions officer for the school’s online undergraduate program wa

1. A college admissions officer for the school’s online undergraduate program wants to estimate the mean age of its graduating students. From a previous study the standard deviati…

1. A college plans to interview 8 students for possible offer of graduate assist

1. A college plans to interview 8 students for possible offer of graduate assistantships. The college has three assistantships available. How many groups of two can be selected? I…

1. A college plans to interview 8 students for possible offer of graduate assist

1. A college plans to interview 8 students for possible offer of graduate assistantships. The college has three assistantships available. How many groups of two can be selected? I…

1. A college survey claimed that 61% of students took English composition, 45% t

1. A college survey claimed that 61% of students took English composition, 45% took calculus, 15% took both, and 13% took neither. Show that these figures cannot be correct. a)The…

1. A committee of 10 is selected at random from a group of faculty members consi

1. A committee of 10 is selected at random from a group of faculty members consisting of 15 from the Mathematics Department, 22 from the Chemistry Department, and 10 from the Engl…

1. A committee of 5 people is selected at random from a group of 16 men and 12 w

1. A committee of 5 people is selected at random from a group of 16 men and 12 women. Find the probability that the committee contains at least 2 women. (Set up, but do not evalua…

1. A committee of 5 people is selected at random from a group of 16 men and 12 w

1. A committee of 5 people is selected at random from a group of 16 men and 12 women. Find the probability that the committee contains at least 2 women. (Set up, but do not evalua…

1. A community baseball league claims that it fairly divided players between two

1. A community baseball league claims that it fairly divided players between two teams. One of the coaches wished to test this claim by having the teams play 40 games against each…

1. A company charges orders as follows o Orders of 50,000 items or less are char

1. A company charges orders as follows o Orders of 50,000 items or less are charged at $30 per thousand. o For orders above 50,000, the charge per thousand is reduced by 373f for …

1. A company claim that the mean life and standard deviation of the bulbs are 36

1. A company claim that the mean life and standard deviation of the bulbs are 360 hours and 90 hours respectively. A sample of 625 bulbs is chosen. It is found that the mean life …

1. A company claims that the mean tread life for one of its tyres is 35,000 hour

1. A company claims that the mean tread life for one of its tyres is 35,000 hours. To test this clai,50 tyres are randomly selected and tested. The sample mean for the tread life …

1. A company claims that the mean tread life for one of its tyres is 35,000 hour

1. A company claims that the mean tread life for one of its tyres is 35,000 hours. To test this clai,50 tyres are randomly selected and tested. The sample mean for the tread life …

1. A company claims that the mean tread life for one of its tyres is 35,000 hour

1. A company claims that the mean tread life for one of its tyres is 35,000 hours. To test this clai,50 tyres are randomly selected and tested. The sample mean for the tread life …

1. A company claims that the mean tread life for one of its tyres is 35,000 hour

1. A company claims that the mean tread life for one of its tyres is 35,000 hours. To test this clai,50 tyres are randomly selected and tested. The sample mean for the tread life …

1. A company employees receive an average of four non-work related emails per ho

1. A company employees receive an average of four non-work related emails per hour. Assume the Poisson distribution approximates the arrival of these emails. a. What is the probab…

1. A company has been studying the performance of their sales department. The me

1. A company has been studying the performance of their sales department. The measure of performance used is: average monthly sales amount in dollars. For the past 12 months, the …

1. A company has decided to hire 3 new employees. There are 25 people who apply

1. A company has decided to hire 3 new employees. There are 25 people who apply for the job. How many different ways could 3 people be chosen from the 25 applicants? 2. We are int…

1. A company has determined that its monthly profit ( P ) depends on the amount

1. A company has determined that its monthly profit (P) depends on the amount of money spent on advertising (x). The relationship is given by the equation P(x) = (4x)/(3x^2+27), w…

1. A company has set a goal of developing a battery that lasts for more than 300

1. A company has set a goal of developing a battery that lasts for more than 300 minutes in continuous use. In a first test of these batteries, the following lifespans (in minutes…

1. A company hired 30 new college graduates last week. Of these, 16 are female a

1. A company hired 30 new college graduates last week. Of these, 16 are female and 11 are business majors. Of the 16 females, 9 are business majors. Can you draw the table? Hint: …

1. A company is considering producing a product for a new market. The fixed cost

1. A company is considering producing a product for a new market. The fixed costs required for manufacturing and delivering the product is $50,000. Labor and material costs are es…

1. A company is deciding whether to renew its ad buy with a local TV station. It

1. A company is deciding whether to renew its ad buy with a local TV station. It will renew the ad if a 2-sided hypothesis test at the 10% level concludes that more than 19% of th…

1. A company is evaluating the impact of a wellness program offered on-site as a

1.A company is evaluating the impact of a wellness program offered on-site as a means of reducing employee sick days. A total of 8 employees agree to participate in the evaluation…

1. A company knows that replacement times for the DVD players it produces are No

1. A company knows that replacement times for the DVD players it produces are Normally distributed with a mean of 8.3 years and a standard deviation of 1.9 years. Find the proport…

1. A company markets its products by direct mail. An experiment was conducted to

1. A company markets its products by direct mail. An experiment was conducted to study the effects of three factors on the customer response rate for a particular product. The thr…

1. A company operates 80 wells in an area of Texas. Fifty of the wells have dept

1. A company operates 80 wells in an area of Texas. Fifty of the wells have depth less than 10,000 feet and are considered as Shallow wells. The remaining 30 wells reached depths …

1. A company produces steel rods. The lengths of the steel rods are normally dis

1. A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 111.1-cm and a standard deviation of 2-cm. Suppose a rod is chosen at rando…

1. A company reports that their computer is \"down\" an average of 1.2 times dur

1. A company reports that their computer is "down" an average of 1.2 times during an 8-hour shift. What's the probability that a. the computer will be down 3 times during an 8-hou…

1. A company wants to fence a rectangular storage area consisting of three separ

1. A company wants to fence a rectangular storage area consisting of three separate compartments of equal size as shown in the figure below. The fencing is shown in blue. Suppose …

1. A company wants to learn the customers’ purchase habits of buying certain pro

1. A company wants to learn the customers’ purchase habits of buying certain products and did a survey of 1000 customers who were chosen at random. They asked consumers about when…

1. A company wants to learn the customers’ purchase habits of buying certain pro

1. A company wants to learn the customers’ purchase habits of buying certain products and did a survey of 1000 customers who were chosen at random. They asked consumers about when…