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The productivity of a factory has been recorded over 10 months, together with forecasts made the previous month by the production manager, the foreman and the Management Services Department. Compare
What is the probability that there will be a least one girl? If the couple eventually has 10 children and they are all boys, what can the couple conclude?
Use multiple regression to find the line of best fit through the following data. What does this tell you?
Use exponential smoothing with 2 between 0.1 and 0.4 to get forecasts one period ahead for the following time series. Use an initial value of F 1 = 208 and say which value of 2 is best.
20% are smokers, and 16% are females who smoke. What is the probability that a randomly selected person from this population will be female or a smoker?
Use linear regression to forecast values for periods 11 to 13 for the following time series.
Suppose the probability that team A wins a given game is .6. What is the probability that a seventh game will be needed to determine the winner?
How would you find the probability that one of several mutually exclusive events occurs?
At Ajax Spring Water, a half-liter bottle of soft drink is supposed to contain a mean of 520 ml. Which sampling distribution would you use if random samples of 10 bottles are to be weighed? Why?
A coefficient of determination of 0.9 shows that 10% of variation in the dependent variable is caused by change in the independent variable.' Is this true?
Find the probability that in a given box the cordials account for more than 1/2 of the weight. Find the marginal density for the weight of the creams.
A coin is flipped until 3 heads in succession occur. List only those elements of the sample space that require 6 or less tosses. Is this a discrete sample space? Explain.
Six 9 volt batteries are put on accelerated test until they fail. An application calls for a battery life of at least 15 hours. Calculate the mean and standard deviation.
A coin is tossed twice. Let Z denote the number of heads on the first toss and W the total number of heads on the 2 tosses. If the coin is unbalanced and a head has a 40% chance of occurring, find
In the telephone survey technique introduced in exercise 6.5, what is the probability of two or fewer successful calls in eight attempts?
A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of; 3 of the sets. If x is the number of defective sets purchased by the hotel, find the probability distr
A soft-drink machine is regulated so that it discharges an average of 200 milliliters per cup. If the amount of drink is normally distributed with a standard deviation equal to 15 milliliters,
What is an independent sample? What is a related sample? When must researchers use different hypothesis tests for independent and related samples? Is one type of sample preferable over the other?
In a shipment of 12 room air conditioners, there are 3 with defective thermostats. Three air conditioners will be selected at random and inspected one after another. Find the probability that All
A pharmaceutical company knows that approximately 5% of its birth-control pills have an ingredient that is below the minimum strength, thus rendering the pill ineffective. What is the probability t
Which statistical technique (one-way ANOVA, regression analysis, chi-squared) do you suggest to be used to answer this question: Does history of stimulant usage vary among people within the three
A process for manufacturing an electronic component is 1% defective. A quality control plan is to select 100 items from the process, and if none are defective, the process continues. Use the normal
The mean breaking strengths for manufacturers A and B are 14,000 psi and 13,000 psi, respectively. The standard deviations are 2000 psi and 1000 psi, respectively. Which manufacturer will produce, o
Of 20 rats in a cage, 12 are males and 9 are infected with a virus that causes hemorrhagic fever. If the selected rat is found to be infected, what is the probability that it is female?
If an agency receives 3 of these automobiles at random, list the elements of the sample space S using the letters B and Ar for blemished and non-blemished, respectively; then to each sample point as