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You are investigating the flight characteristics of different kinds of birds. You collect a sample of 33 European swallows (Hirundo rustica) and measure their air-speed velocity in a borrowed wind tunnel. You find the mean air-speed velocity to be 11 meters/second with a standard deviation of 3 meters/second. You then collect a sample of 37 African swallows (Hirundo spilodera) and repeat your experiment in the wind tunnel. This time, you measure a mean air-speed velocity of 12 meters per second with a standard deviation of 2 meters per second.
(a) At a 2% significance level, do you have sufficient evidence to support a claim that the African swallow flies faster, on average, than the European swallow? Explain your answer (don't just say yes or no).
(b) What is the p-value associated with your experimental outcome? Explain how you arrived at your answer, don't just write down a number.
(c) Find a 90% confidence interval for the mean difference between the airspeed velocity of an African swallow and that of the European swallow.
Joe is being audited by the IRS and must provide an estimate for his investment earnings over the next four years. After a thorough search, Joe can only find the following records.
A University employment office wants to compare the time taken by graduates with 3 different majors to find their first jobs after graduation.
First National Bank and City National Bank are competing for customers who would like to open IRAs. 32 weeks are randomly selected for First National Bank and another 32 weeks are randomly selected for City National.
To what probabilities do each of the following sigma levels correspond to, based on a standard normal curve: 3 sigma, 4sigma, 5 sigma, and 6 sigma? (Hint: Use the NORMSDIST function in Excel.
According to a well-known newspaper journal, 58.3% of the 222,900 households in particular county get the Sunday edition of local newspaper. Assume that random samples of 200 households are selected.
Using a significance level of 0.05, perform a hypothesis test to see if the workers are right, and you need to hire more help. Write your hypotheses, calculate your test statistic and decide whether or not to reject your null.
Suppose that the population of heights of male college students is approximately normally distributed with mean m of 68 inches and standard deviation s of 3.75 inches.
Label and describeeach step of the hypothesis testing procedure, and be sure to specify whether this is a one-tailed or two-tailed test.
What are the four assumptions for the chi-square tests? What are the hypothesis when conducting the chi-square tests for goodness-of-fit?
Compute the variance and standard deviation of the number that will arrive within two days.
When the underlying average of a time series is very stable and there is no trend, cyclical, or seasonal influences,
Determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.
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