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The Weschsler IQ test has a μ =100 and a σ = 15. A vitamin company said if people took vitamin X for 30 days their IQ would improve. A simple random sample of 49 people took the vitamins for 30 days. They then took the IQ test. The mean IQ of the sample was 103.
- What is Ho? What is Ha?
- What is the Z-score? What is the P-value?
- Is the result significant at the 5% level? Why or why not?
Prepare an ANOVA table and test the null hypothesis of no linear relationship between the two variables.
Assuming the sample size of 40 can be considered as large, compute the confidence interval for a confidence level of 90%.
Provide an example of a situation in which factor analysis, cluster analysis, and multidimensional analysis might be used.
Compare the actual results to those expected from the Poisson probabilities. Explain, how you do the comparison. Does the Poisson distribution serve as a good device for predicting the actual results?
Determine the p-value, and at 95% confidence, test the hypotheses.
A sample of 64 statistics students at a small college had a mean mathematics ACT score of 28 with a standard deviation of 4. Estimate the mean mathematics ACT score for all statistics students at this college. Give the 95% confidence interval.
Suppose an engineer proposes a new model that will weigh 3100 pounds. What could we expect the miles per gallon in the city performance would be?
What is the best estimate of the average tread life in miles for the entire population of these tires?
Is there evidence to suggest that the process average differs from the target value?
A researcher is interested in whether social assertiveness might be influenced by training procedures. Two groups of college sophomores are randomly selected. Group A subjects are assigned to the "training sessions" and Group B subjects do not rec..
You may assume the sample data comes from a population that follows a normal distribution.
Must you assume that the population amount of paint per can is normally distributed here? Explain
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