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The Sony Corporation produces a Walkman that requires two AA batteries. The mean life of these batteries in this product is 35.0 hours. The distribution of the battery lives closely follows the normal probability distribution with a standard deviation of 5.5 hours. As a part of their testing program Sony tests samples of 25 batteries.
a. What can you say about the shape of the distribution of sample mean?b. What is the standard error of the distribution of the sample mean?c. What proportion of the samples will have a mean useful life of more than 36 hours?d. What proportion of the sample will have a mean useful life greater than 34.5 hours?e. What proportion of the sample will have a mean useful life between 34.5 and 36.0 hours?
How many drinks do we have to sample if we wish the length of the 95% confidence interval of the mean to be 0.1 ounce?
Use a 0.05 significance level to test the claim of a cereal lobbyist that the mean for all cereals is less than 0.3g.
Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt "just on this trip"?
The repair fails in 14%, and both infection and failure occur together in 1%. What percent of these operations succeed and are free from infection?
Range of 0 to 5 Volts. An environmental effect, such as a change in ambient temperature, lowers the sensitivity by 2%. What span error does this generate?
A random sample of 36 cars showed a mean repair cost of $330, with a standard deviation of $120. What can you tell the city fathers?
The mean clotting time is 7.45 seconds with a standard deviation of 3.6 second. what is the probability that an individuals clotting time will be more than 4 seconds and less than 11?
The expected peak expiratory flow rate in adults is 300 with a standard deviation of 50. how many subjects should be enrolled to ensure 80% power to detect a difference of 15 liters per minute with a two-sided test and significance level of 0.05?
From a previous study, the standard deviation of the ages is known to be 3 years.
What is the event corresponding to the above system failing during one period of operation and what is the event corresponding to the above system functioning properly during one period of operation?
Sample data recently collected indicate that Dough Boy's crusts average 30 centimeter in diameter, with a standard deviation of 1.1 centimeters.
Average (arithmetic mean) of 15 years with a standard deviation of 4 years. How does the relative dispersion in the distribution of salaries compare with that of the lengths of service?
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