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Assume that Acme Tires sells their high performance tires for $175 each and their all weather tires for $100 each. Further assume that the cost of producing a high performance tire is $140 and the cost of producing an all weather tire is $75. Finally, assume that if a tire does not last 40,000 miles, Acme tires will replace it free of charge to the consumer; Acme will incur the cost of replacement, but will not receive any additional revenue.
(a) Calculate the profit earned/loss incurred on; a high performance tire that exceeds 40,000 miles, a high performance tire that does not exceed 40,000 miles, an all weather tire that exceeds 40,000 miles, and an all weather tire that fails to last 40,000 miles.
(b) What is the expected value (expected profit) of producing an all weather tire? Of producing a high performance tire?
(c) What is the variance and standard deviation (of profit, NOT of tire life) for producing an all weather tire? Of producing a high performance tire?
A random sample of 200 people was taken. Sixty percent of the people favor President Obama. The 95% confidence interval for the true population of people who favor Obama is?
From Group of 40 People, a jury of 12 people is selected. In how many various ways can a jury of 12 people be selected?
Create a stem-and-leaf display of these data. Create a box plot of these data.
Transmission is normally distributed with an average of 78,000 miles and a standard deviation of 15,000 miles. What percentage of these transmissions will last at least 90,000 miles?
If the voice identifications were made by random guess, find the probability that all 9 victims would select the same person?
It has been reported that 3% of all cars on the highway are traveling at speeds in excess of 70 mph. If the speeds of four random automobiles are measured via radar, what is the probability that at least one car is going over 70 mph?
(a) At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket? State your hypotheses and decision rule. (b) Is this a close decision?
An experiment ws designed to estimate the mean difference in weight gain for pigs fed ration A as compared with those fed ration B. Eight pairs of pigs were used. The pigs within each pair were littermates.
At a = 0.05, what is the test value?
Obtain a test statistic and p-value. Interpret the results at = .01.
A biologist estimates that 40% of deer in the region carry a certain type of tick. For a sample of 300 deer selectetd at random, what is the chance that 124 or fewer deer have this tick?
Normally distributed with the mean income of $30,000 and standard deviation of $3,000. Determine the income which separates top 25% from lower 75% of incomes?
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