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For the following cases, determine whether the sampling is dependent or independent. Explain your conclusion.
1. Fifty married couples were randomly selected. The husbands and wives were placed in separate rooms. They were then given a questionnaire to assess the strength of the couple's relationship. The researchers wanted to know if there is a difference in the perception of the women versus the men.
2. A group of seventh-graders at Jefferson Middle School were given a presentation on the dangers of drug use. Both before and after the presentation, the students were asked to indicate (on a scale of 1 to 100) the likelihood that they would ever use illegal drugs in the future. School officials wanted to assess the effectiveness of the presentation as a drug abuse prevention tool.
Testing equality of two means - difference in performance of the two gasolines and difference in gasoline mileage output
Determine expectation of number of vehicles passing through this specified point in ten minutes.
Suppose the weights of full boxes of a certain kind of cereal are normally distributed with a population standard deviation of 0.29 ounces.
A random-effects ANOVA refers to the analysis where the levels included in the study represent a random sample of all levels that exist.
Suppose normality, determine a 90% confidence interval for population variance.
How do we decide if the homogeneity of variance assumption is significantly violated?
If writing scores for population have standard deviation of s = 20, does sample give sufficient evidence to conclude that new composition course has significant effect? Suppose a two tailed test with a = 0.05.
The significance level of a statistical test is equal to the probability that the null hypothesis is true.
Consider a four digit uniform random number generator; as in each of the 10,000 values 0.0000 through 9999 is equally likely. Find the mean and variance of the values produced by such a random number generator.
If all samples of size 64 are drawn, mean of sample according to Central Limit Theorem is 100.
A recent study of 75 workers found that 53 people rode the bus to work each day. Find the 95 percent confidence interval of the proportion of all workers who rode the bus to work.
What is the standard deviation of expected returns for Stock X? For Stock Y?
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