An experiment involves selecting a random sample of 256 middle managers at random for study. One item of interest is their mean annual income. The sample mean is computed to be $35,420 and the sample standard deviation is $2,050. What is the point estimate?
Answer(s): E
The sample mean is a good estimate for the population mean.
Which of the following statements is false in reference to confidence intervals and/or tests of significance? Choose the best answer.
Answer(s): F
More than one of these answers is correct. First, the confidence level is not equal to the significance level.Rather the confidence level is equal to (1 - the significance level). Remember that the significance level of a test is used to quantify the probability of a Type I error, which is defined as the act of incorrectly rejecting the null hypothesis. For example, a confidence level of 95% implies a 5% probability of incorrectly rejecting the null hypothesis (i.e. a Type I error). For example, a hypothesis test associated with a 0.01 significance level indicates a 0.99 level of confidence. The second incorrect statement in this example is that the confidence level of a hypothesis test is found by (1 - alpha), where "alpha" is equal to the probability of a Type I error.Subtracting the probability of a Type II error from one will yield the power of the test. The remaining answers are all correct.
Which of the following are true regarding covariance?
Answer(s): A
I, III, and IV are all true. II is false. To make II true, we would have to restate it as "Covariance will be negative if, when the return on one asset is below expected value, the other return will be above its expected value."
The U.S. Federal Aviation Administration reported that passenger revenues on international flights increased from $528 million in 1972 to $5,100 million in 1995. What is the geometric mean annual percent increase in international passenger revenues?
There are 24 years involved. The geometric mean is = [(1 + 5100/528)^1/23]-1. In words, it is the 23rd square root of (1 + 5100/528) minus 1. So we have GM = (1 + 9.66)^(1/23) - 1 = 0.1036 = 10.4%
Which of the following is/are true?
Answer(s): H
I would be correct if "mean" is replaced by "median" i.e. there are as many values above the median as below it. Note that one of the advantages of using the median instead of the mean is that the mean is greatly affected by outliers since it represents an average of all the observations while the median is not affected in this fashion.
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