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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.
A group of items of data have been found to be normally distributed with a mean of 80 and a standard deviation of 6. Please convert 80 to a z-score and show the calculation.
Determine standard normal area for each of the following: Standard normal area P(1.22
Also include information about the number of participants you would assess and how you would go about estimating effect size and statistical power (when relevant).
A jar contains marbles of different colors: 4 white, 6 black, 6 red, and 4 blue. On two random drawings, without replacement, find the probability that the first is black and the second is white.
Using your experience from previous or current employment, provide a business example where you could use a t-test to assist in a business decision. State the null and alternative hypothesis.
Write down the name of 4 parts of the regression equation.
Suppose that 0.6 of the present 25,000 vehicle occupants killed in collisions were not wearing seat belts. There are about 170 million registered cars and trucks on the highway today.
A dish contains 20 gumballs - 9 blue, 6 red and 5 white. We randomly select two gumballs from the dish without replacement. a) Let X be the number of blue gumballs selected. Complete the probability distribution of X by filling in the appropriate p..
The quality control engineer for a furniture manufacturer is interested in the mean amount of force necessary to produce cracks in stressed oak furniture.
Nathan wants to approximate a binomial probability by normal curve areas. The number of trials is 50 and the probability of success for each trial is 0.95
(a) Consider a normal distribution with mean μ = 88. If 2% of the values lie below x = 50, find the standard deviation σ. (b) Consider a normal distribution with standard deviation σ = 15.6. If 10% of the values lie above x = 17.2, find the mean μ.
Provide examples of a different data collection method and a data collection instrument used in managerial research. Why is it important to ensure that these data collection methods and instruments are both reliable and valid?
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