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For each of the following statistical tests, state the null hypothesis and the two sided alternative hypothesis.
a. A one sample t-test
b. A paired-samples t-test
c. An independent-samples t-test
Develop a 95% confidence interval of the difference between the daily population means for the two airports.
The ages of circulating pennies are right skewed. Most circulating pennies were minted relatively recently, and extremely old pennies are rare. Assume the ages of circulating pennies have a mean of 12.2 years and a standard deviation of 9.9 years.
Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error?
Suppose that the service rate to a waiting line system is 10 customers per hour (exponentially distributed).
Using a separate 2 by 2 table, compute predictive value positive and predictive value negative for population of 1,000 drug users.
At 95% confidence using the critical value approach, determine if the proportion of females in the company is significantly less than 50%.
If Chebychev Inequality gives the lower bound for probability. For the present problem the lower bound for the probability is 0.75 and actual probability is 0.87.
A market researcher is interested in knowing the type of training that works best for DVD users. Thirty consumers are randomly selected from a population of known DVD owners (i.e., users).
Determine the probability that tire wears out before 70,000 miles?
Would you conclude that your data set is approximately normal? If so, what percentage of your data values lie:
Use the traditional method to test the given hypothesis. Assume that the population is the normally distributed and that the sample has been randomly selected.
Give a brief definition and an example of the following: What does the correlation coefficient r describe? What about r squared?
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