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A manufacturer of flashlight batteries took a sample of 13 batteries from a day's production and used them continuously until they failed to work. The life lengths of the batteries, in hours, until they failed were: 342, 426, 317, 545, 264, 451, 1049, 631, 512, 266, 492, 562, and 298.
At the .05 level of significance, is there evidence to suggest that the mean life length of the batteries produced by this manufacturer is more than 400 hours?
In our discussions of basic probability theory the concepts of mutually exclusive events and independent events share prominent roles.
Consider a random sample of size n from an exponential distribution, Xi ~ EXP(1,eta). a) Show that Q = X1:n - eta is a pivotal quantity and find its distribution.
A SRS of size 16 drawn from a Normally Distributed population has a mean of 30 and a standard deviation, s, of 5. With 95% confidence, what is the interval that captures the true mean of the population?
A human resources director, on learning about the regression effect, decides to hire people who have been fired by their previous employer for poor performance.
In classical hypothesis testing, test statistic is to critical value what the?
Gas consumption of 3 cars (labeled car A, car B, and car C) using 4 different kinds of gasoline. Is there difference among kinds of gasoline?
If the process mean and standard deviation remain constant, what proportion of the output from this process will be defective?
The concessions manager at the Clemson vs. USC football game must decide whether to have the vendors sell sun visors or umbrellas. There is a 30% chance of rain
The undergraduate grade point average (GPA) for students admitted to the top graduate business schools was 3.37 (Best Graduate Schools, U.S. News and World Report, 2001).
A baseball player hits 59 home runs during a season with 161 games. What is the empirical probability that the player would hit at least one home run during any given game of the season?
The U.S. Commission of Crime wishes to estimate the fraction of crimes related to firearms in an area with one of the highest crime rates in the country.
When combining probabilities, to find the probability of one event AND another event, the separate probabilities should be:
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