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1. Management of an airline knows that 0.5% of the airline's passengers lose their luggage on domestic flights. Management also know that the average value claimed for a lost piece of luggage on domestic flights is $600.00. The company is considering increasing fares by an appropriate amount to cover expected compensation to passengers who lose their luggage. By how much should the airline increase fares? Why? Explain, using the ideas of a random variable and its expectation.
2. A large shipment of computer chips is known to contain 10% defective chips. If 100 chips are randomly selected, what is the expected number of defective ones? What is the standard deviation of the number of defective chips? Use Chebyshev's theorem to give bounds such that there is at least a 0.75 chance that the number of defective chips will be within the two bounds.
3. A mainframe computer in a university crashes on the average 0.71 times in a semester.
a. What is the probability that it will crash at least two times in a given semester?
b. What is the probability that it will not crash at all in a given semester?
c. The MIS administrator wants to increase the probability of no crash at all in a semester to at least 90%. What is the largest u (mu) that will achieve this goal?
Assume a factory manager wishes to buy machines to perform a certain task in a production process. Certain key parts are produced by these machines.
Students will conduct one brief research exercise that will be written up as a research report using APA style.
They would like the margin of error of the 95% confidence interval for the proportion to be 0.05 or less. Use the guessed value p = 0.25 to find the required sample size.
A description of how you believe statistics can enrich and represent the results of a study, and an explanation of how statistics can be used to misrepresent the results of a study.
What is your decision regarding the null hypothesis and interpret.
If a pregnancy length is randomly taken from this distribution, what is the probability that the length of that pregnancy is less than 260 days?
What are the two ways of testing a correlation coefficient for significance?
The mean amount purchased by a typical customer at Churchill\'s Grocery Store is $23.50 with a standard deviation of $5.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the foll..
Show that if in the Law of Large Numbers we omit the assumption that all the X have the same mean and replace the m in the conclusion by [E(X1)+...+E(Xn)]/n, the law remains valid.
Using standard normal table, show critical value for left-tailed test with α = 0.02.
How many observations were in the original data set? In the bottom row of the stem and leaf display identify the stem the leaves and the numbers in the original data set represented by this stem and its leaves.
Explain the purpose of the chi-square test for independence. Provide some practical examples where this test might be used in business.
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