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Suppose that the specifications for a certain kind of optical glass require, among other things, that the index of refraction be uniform to the extent that s must not exceed 0.0075. A random sample of 10 pieces of this glass is taken from each (large) shipment and the shipment is rejected as unsatisfactory if the sample variance is too large; specifically, if the probability of obtaining such a large value of s^2 (s(squared)), is less than or equal to 0.01 even though s = 0.0075. What is to be done with a shipment of this glass for which the sample variance of the indices of refraction equaled 0.000182?
The weights of dormitory cockroaches follow a normal distribution. 14% of the dormitory cockroaches weigh below 77 grams and 10% of them weigh above 82 grams. Find the mean and standard deviation of their weights.
Research question : At α = . 01, is degree of certainty independent of credits earned?
Assume that replacement time for TVs are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years. The probability a randomly selected TV will have replacement time less than 5.5 years to be .0071.
Based on a simple random sample of one hundred an analyst estimates the average hourly wage earned by workers in a city to be $30 and computes the margin of error to be $5. Can we conclude from this that most workers there earn between $25 and $35..
Can we conclude that there is a positive association between the size of the home and the selling price? Use the .05 significance level.
Suppose the population standard deviation is 0.3 minutes and the sample mean is 9.975. A 90-percent confidence interval for the true mean delivery time is?
When only the value-added time is considered, the time it takes to build a laser printer is thought to be uniformly distributed between 8 and 15 hours.
Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-Value or critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim.
Suppose a company owns three cars that get 20 miles per gallon, two cars that get 22 miles per gallon and one car that gets 24 miles per gallon. Would the mean miles per gallon be 22?
The mean equal to 16 oz. and standard deviation equals 0.6 oz. Find the probability that a bottle selected at random will contain less than 15 ounces?
Steve Goodman, production foreman for the Florida Gold Fruit Company, estimates that the average sale of oranges is 4,700 and the standard deviation is 500 oranges. Sales follow a normal distribution.
What is the probability that no requests for assistance are in the system? What is the average number of requests that will be waiting for service? What is the average waiting time in minutes before service begins?
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