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The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of 10 batteries is subjected to an accelerated life test by running them continuously at an elevated temperature until failure, and the following lifetimes (in hours) are obtained: 25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7.
(a) The manufacturer wants to be certain that the mean battery life exceeds 25h. What conclusions can be drawn from these data (use alpha=.05) ?
(b) Using the data, construct a 95% lower confidence interval on mean battery life. Why would the manufacturer be interested in a one-sided confidence interval?
Utilize a test of the difference among proportions when answering these questions. Illustrate the research hypothesis.
A supermarket advertises that the waiting time spend by customers waiting in line at the cash register is uniform between 0 and 6 minutes.
From a random sample we know that the average duration of unemployment in a low developed region A is 147 days (with standard deviation sA = 32 days and nA = 230 unemployed).
ABC Auto Insurance classifies drivers as good, medium, or poor risks. Drivers who apply to them for insurance fall into these three groups in the proportions: 30 percent, 50 percent, and 20 percent, respectively.
What is the difference between evaluation and simplification of an expression? How does a term differ from a factor?
An accepted standard deviation for LSAT scores is 125. A random sample of 25 scores had an average of 1,375. Assume a significance level of 0.05. State the appropriate null and alternative hypotheses. Calculate the p-value to test the hypotheses.
The life expectancy of Timely brand watches is normally distributed with a mean of four years and a standard deviation of eight months. What is the minimum and the maximum life expectancy of the middle 95% of the watches?
Find the probability that the first marble drawn was blue given that the second marble drawn was red and what is the range space RY of this new random variable Y and give the probability distribution of Y in tabular form
In Major League Baseball there are five teams in the Western Division of the National League: Arizona, Los Angeles, San Francisco, San Diego, and Colorado. How many different orders of finish are there for these five teams?
What is the importance of the null hypothesis? Why has it been the backbone of mainstream hypothesis testing for decades? What are its limitations?
Find ten consecutive composite numbers. Find the prime factors of 1147 and of 1716. Are there any common factors?
A simple random sample of 1000 Americans found that 61% were satisfied with the service provided by the dealer from which they bought their car.
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