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1. Union Membership Nationwide 13.7% of employed wage and salary workers are union members (down from 20.1% in 1983). A random sample of 300 local wage and salary workers showed that 50 belonged to a union. At ?=0.05, is there sufficient evidence to conclude that the proportion of union membership differs from 13.7%?
2. Free School Lunches It has been reported that 59.3% of U.S. school lunches served are free and at a reduced price. A random sample of 300 children in a large metropolitan area indicated that 156 of them received lunch free or at a reduced price. At the 0.01 level of significance, is there sufficient evidence to conclude that the proportion is less then 59.3%?
3. Automobile Part Production In an effort to increase production of an automobile part, the factory manager decides to play music in the manufacturing area. Eight workers are selected, and the number of items each produced for a specific day is recorded. After on week of music, the same workers are monitored again. The data are given in the table. At ?=0.05 can the manager conclude that the music has increased production?
Worker 1 2 3 4 5 6 7 8
Before 6 8 10 9 5 12 9 7
After 10 12 9 12 8 13 8 10
A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate.
When we have data that are measured at the interval/ratio level of measurement, there are:
If you are using the method of least squares for fitting trends in an annual time series containing 25 consecutive yearly values,
Critically discuss the difference between the standard deviation of the sampling distribution of the mean and the standard deviation of the sampling distribution of the median when we calculate the probability?
Using the Wilcoxon Signed-Ranks Test. Paired sample data and use the Wilcoxon signed-ranks test to test the claim that the matched pairs have differences that come from a population with a median equal to zero.
Calculate the population mean and compare it to the mean of the sampling distribution.
Do the data indicate a significant difference? Test with ∝ = .05.
Standard deviations for first- and second-time and confidence interval
Assuming that students make their decisions independently, the number who accept has the B (1200, 0.75) distribution. If this number is less than 950, the college will admit students from its waiting list.
Use differential calculus to find both sales volume at which revenue is maximised and the maximum revenue available from sales of product X.
Explain how we test independent against dependent variables in a regression analysis? What's the set up? How are regression analyses often misused / misinterpreted at work or in the news? Cite an example.
A food snack manufacturer samples 7 bags of pretzels off the assembly line and weighs their contents. If the sample mean is 12.7 oz. and the sample standard deviation is 0.40 oz., find the 95% confidence interval of the true mean.
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