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Suppose a simple random sample of size 42 is selected from a population with = 10. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate).
1. The population size is infinite (to 2 decimals).
2. The population size is N = 50,000 (to 2 decimals).
3. The population size is N = 5000 (to 2 decimals).
4. The population size is N = 500 (to 2 decimals).
Joe thinks that no more than 20% of students in his Statistics class will get an A in the final examination. To prove his claim, he takes a random sample of 35 students and finds to his surprise that 30% of students got an A.
Consider a hypothesis test of H0: μ = 0 against H1: μ > 0 where μ is the mean percent change in total body bone mineral content of young women. The population standard deviation is σ = 2. The level of significance for the test is α = 0.05.
A survey on the drinking habits of Americans estimated the percentage of adults across the country who drink beer, wine, or hard liquor at least occasionally. Of the 1516 adults interviewed, 985 said that they drank.
If the sides of the square are lengthened by 5cm, the area becomes 144cm^2. Find the length of a side of the original square.
ACT scores are normally distributed with mean 18 and standard deviation 6. Assuming that both tests measure the same kind of ability, who has the higher score, and why?
The administration of Midwest State University wants to know if arrangement of chairs affects student participation in classrooms. What would be a good operational definition of the dependent variable in an experiment designed to measure this rela..
A mean time of 90 minutes and standard deviation of 18 minutes. What proportion of new typists need between 1 and 2 hours to learn the computer system?
If possible, determine a 95% confidence interval for average number of television sets in all 50,000 households. If this is not possible, describe why not.
A study was completed that examined the relationship between coffee consumption and level of stress for a group of 50 undergraduate students. The correlation was .373, and it was a two-tailed test, done at the .01 level of significance.
Suppose a certain brand of Westinghouse light bulbs has a population life expectancy of 3000 and a population standard deviation equal to 100. (Assume the distribution of the population is normal). What is the probability that a sample of 30 light..
Group of businesswomen wish to open a high fashion boutique in a vacant store but only if the average income in the area is at least $45,000. Use alpha=0.01 to test whether or not the businesswomen should open their boutique in this neighborhood.
What would you recommend Taylor do to cut back its labor cost? (Illustrate using an ABC plan.)
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