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"Testing the Difference Between Two Means."
• What two assumptions must be met when you are using the z test to test differences between two means? Can the sample standard deviations s1 and s2 be used in place of the population standard deviations σ1 and σ2?
• Retired workers and disabled workers both receive Social Security benefits. What information would we need to test the claim that the difference in monthly benefits between the two groups is greater than $30 at the 0.05 level of significance? Write out the hypotheses and explain the testing procedure.
Calculate the correlation and the regression equation and plot the data in the space provided.
Use the interaction plot to argue that the new design is less sensitive to changes in environmental conditions (temperature and humidity). What limitations apply to this argument?
The director of golf for the Links Group wishes to study the number of rounds of golf played by members on weekdays. At the .05 significance level, is there a difference in the number of rounds played by day of the week?
What is the difference between the R and R-squared terms? What does each tell you? How large should the R-squared term be if you want to show that the two variables are practically related?
Perform a hypothesis test with significance level 5%. Show all work, and clearly state your conclusion.
What is the probability that , of 20 randomly chosen drivers coming to an intersection under these conditions, a) At most 2 will come to a complete stop?
The results of a recent poll on the preference of shoppers regarding two products are shown below.
HIV found that 3 received a false positive test result. Test the researcher's claim of a 2% false positive rate at the a = 0.05 level. What can you conclude?
The manufacturer of Feel Better aspirin advertises that 60% of pediatricians recommend Feel Better for children under twelve. Safe and Sound, a rival manufacturer
Over a period of years, toothpaste has received a mean rating of 5.9, on a 7-point scale, for overall customer satisfaction with the product.
A nurse at a local hospital is estimating the weight of infants. how large a sample must she select if she desires to be 95% confident that the true mean is within 3 ounces of the sample mean?
Discuss an example where you would use a test of hypothesis for in your professional life, personal life, education or politics. Provide sufficient details so that the context is clear and also discuss if the example involves:
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