A student in public administration wants to determine the mean amount members of city councils earn. The error in estimating the mean is to be less than $100 with a 99% level of confidence. The student found a report by the department of labor that estimated the standard deviation to be $1000. What is the required sample size?

The winston company estimates that the factory overhead for the following year will be $1,250,000. the company has decided that the basis for applying factory overhead should be machine hours, which is estimated to be 50,000 hours. the total machine hours for the year were 54,300. the actual factory overhead for the year were $1,375,000. determine the over- or underapplied amount for the year.

Acompany is developing a new high­performance wax for cross country ski racing. in order to justify the price marketingwants, the wax needs to be very fast. specifically, the mean time to finish their standard test course should be less thanseconds for a former olympic champion. to test it, the champion will ski the course 8 times. the champion's times(selected at random) are 59.9 61.9 48.8 52.2 46.6 45.3 50.6 and 41.1 seconds to complete the test course. complete parts a and b below.a) should they market the wax? assume the assumptions and conditions for appropriate hypothesis testing are metfor the sample.assume=0.05. what are the null and alternative hypotheses? choose the correct answer below.b) suppose they decide not to market the wax after the test, but it turns out that the wax really does lower the champion'saverage time to less thanseconds. what kind of error have they made? explain the impact to the company of such anerror.

Hilary works at klothes kloset. she quickly the customers, and her cash drawer is always correct at the end of her shift. however, she never tries to "upsell" the customers (for example, by asking if they would like to purchase earrings to go with the shirt they chose or by suggesting a purse that matches the shoes they are buying). give hilary some constructive feedback on her performance.