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According to the Consumer Electronics Manufacturers Association, 10% of all Australian households have a fax machine and 52% have a personal computer. Suppose 91% of all Australian households having a fax machine have a personal computer. A Australian household is randomly selected.
a. What is the probability that the household has a fax machine and a personal computer?
b. What is the probability that the household has a fax machine or a personal computer?
c.What is the probability that the household has a fax machine and does not have a personal computer?
d. What is the probability that the household has neither a fax machine nor a personal computer?
e. What is the probability that the household does not have a fax machine and does have a personal computer?
What is the arithmetic mean selling price?
A local Junior High principal has decided to give an award to any student who scores in the top 15% of statewide scores. How high should a student score be to win this award?
Use the data set for math education and conduct an ANOVA to see if there are any statistically significant differences with respect to problem solving total for students who have different categories of the concept of learning by themes (colcateg)..
The MacBurger restaurant chain claims that the waiting time of customers for service is normally distributed, with a mean of 3 minutes and a standard deviation of 1 minute.
What is meant by an independent sample? What is a related sample? When should researchers use different hypothesis tests for independent and related samples?
The ELISA test for AIDS was used in the screening of blood donations in the 1990s. As with most medical diagnostic tests, the ELISA test is not infallible.
The American Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 60 pounds with a standard deviation of 20 pounds.
2 laptops are chosen at random without replacement, what is the probability that both are high priced?
Compute the average number of delayed patients, Lq, for this system. The variance of the sum independent random variables is the sum of the variance.
A system is tested for 10,000 hours and experiences 2 failures. Its failure rate is believed to be Poisson distributed.
At the 5% significance level, can the station conclude that the mean age of its listeners is not 25 yrs. Formulate and test the appropriate hypotheses. Use the critical value approach.
The theory underlying inferential statistics and other theoretical aspects are subjects we do not often consciously think about in our daily activities.
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