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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?
Write a hypothesis that you might test to compare two or more samples in your example. Indicate which hypothesis test you would use and the samples you would select.
Election officials take a random sample of 100 signatures and thoroughly investigate them to find that 84% are valid. Is this statistically significant evidence that the candidate has enough valid signatures overall? Explain.
use Microsoft excel, as your graphing calculator, or the binomial probability formula to calculate the probibilities of the following events. Event A: The probability that you will have to oay out exactly $20.
Independent random samples taken on two university campuses revealed the following information concerning the average amount of money spent on textbooks during the fall semester.
Determine the shape of chi-square distribution?
The filling weight for boxes of cereal is designed to have a variance .02 ounces or less. A sample of 41 boxes of cereal shows a sample standard deviation of .16 ounces.
In 36 randomly selected seawater samples, the mean sodium chloride concentration was 23 cubic centimeters per cubic meter and the standard deviation was 6.7 cubic centimeters per cubic meter (cc/cm).
Assume it is known that the distribution of purchase amounts by customers entering a popular retail store is approximately normal with mean $25 and standard deviation $8.
Smoking on campus. suppose 20% of the students on campus smoke. you select two students at random. In what percentage of samples will both students be smokers?
Employees of a local company are classified according to gender and job type. The following table summarizes the number of people in each job category.
Create a 95% confidence interval for proportion of highly educated women who left careers for family reasons and who wish to return to work.
Compare the vital capacityfor the two groups.calculate a 99% confidence interval for the difference.the result of this comparison may be misleading.why?
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