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Assume you are the manager of a paint manufacturing factory. Your company has received complaints from customers that the containers hold less than the amount printed on them. On the other hand, corporate management is concerned that the containers hold more than the standard amount. You assign a statistician to verify the claims by the customers and the corporate management. A sample of containers was selected and the volume of paint in each container was measured. Assuming that the volume printed on each container is 1 gallon, how would you formulate the null and alternative hypotheses to test the customers' claim? That of the corporate management? Both customers and corporate management? As a manager, what reasonable criteria will you use to set a value for the level of significance to be used in the test? Suppose you arrive at the decision that there is not enough evidence to reject the null hypothesis, could you have made a mistake?
This is called a one-time fling. About 10% of all adults deliberately do a opne-time fling and feel no guilt about it!
A company has just manufactured 1295 CDs, and 492 are defective. If 10 of the CD's are randomly selected for testing, what is the probability of the entire batch will be accepted
Which of the following is true about a 95% confidence interval of the mean of a given sample:
Colleges typically use grade point average cutoffs to decide who graduates with honors and who is accepted into certain programs (such as teacher education, for example).
Use α =.01 and test for a significant difference. What is your conclusion?
Build a 95% confidence interval for the mean of the population from the given sample data.
The IQ scores of 30 children from under-privileged households, were measured before and a year after, a program of nutritional supplementation was instigated at a primary school.
Use the normal-theory method to test for significant differences in 12-month mortality between the two groups.
A sample of 140 golfers showed that their average score on a particular golf course was 93.38 with a standard deviation of 4.36. Answer each of the following (show all work and state the final answer to at least two decimal places.):
Explain how the power of a hypothesis test is influenced by each of the following. Assume that all other factors are held constant.
A popular snack is packed by machine into 9-ounce boxes. The distribution of box weights is normally distributed with a mean of 9 ounces and a variance of 0.01 ounces. What is the probability of randomly selecting a box containing less than 8.9 ou..
The American Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 60 pounds with a standard deviation of 20 pounds.
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