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To test whether there is any association between two variables using Chi-square test for independence.
A researcher is interested in studying the relationship between salary levels and unionization for public employees. Specifically, the researcher hypothesizes that public sector employees who are unionized have higher salary levels than public sector employees not unionized. Random sampling police departments in 100 cities, the researcher constructs the cross-tab below.
Salary
Union
Nonunion
TOTAL
High
21
29
50
Low
14
36
35
65
100
Calculate chi-square for the cross-tab. Show your work. Is there a statistically significant relationship between these variables?
What is the probability that a cereal would be high calorie, given that is low fiber? In other words, what is P (high calorie, given low fiber)?
Find the probability that exactly 15 flights arrive on time.
Analyze the data using linear contrasts to make the following comparisons:
Heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard deviation 3 inches.
There were 25 subjects included in each of the combinations of gender and smoking status. One of the variables measured was the heart rate after six minutes of exercise. A two-way ANOVA is performed with the resulting ANOVA table given below
How much net profit can John expect (on average) to earn from the store in total over the next five years?
A sample of n observations is taken from a population. When performing statistical inference about a population variance, the appropriate chi-square distribution has:
Modify above problem (Problem 8th) so that each hardware vendor now demands seventy-five (75) units. Any units available from the vendors that are not shipped cost nothing.)
For the mold described in (g), can you find the probability that it's COST value will exceed $150,000? If yes, obtain this probability. If no, why not?
At.01 significance level is it sensible to conclude that modification decreased the number of traffic accidents?
Create a 95% confidence interval for true mean.
Describe the factors that might cause variation in weight of Tootsie Rolls during manufacture.
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