In single-factor ANOVA, if the test is conducted and the null hypothesis is rejected, what does this indicate?
a. All the population means are equal.
b. At least two of the population means are different.
c. The normal distribution should be used instead of the F-distribution to determine the critical value for the test.
d. None of the above.
Q. 2Which of the following statements is false?
a. The mean of a discrete probability distribution is equal to the square root of the variance.
b. The expected value of a discrete probability distribution is the long-run average value if the experiment is to be repeated many times.
c. The standard deviation of a discrete probability distribution measures the average variation of the random variable from the mean.
d. All of the above.
e. None of these.
Q. 3Identify the correct statement about the analysis of variance technique.
a. The mean squares are measures of variance.
b. The partitioning of the variance occurs when the sum of squares for total is separated into two parts, SS(Factor) and SS(Error).
c. We reject the null hypothesis and conclude that the tested factor has an effect when the variance assigned to the factor is much larger than the variance assigned to error.
d. All of the above.
Q. 4Which of the following correctly describes the nature of discrete quantitative variables?
a. They are characteristics possessed by persons or objects, called elementary units, in which we are interested.
b. They can assume values only at specific points on a scale of values, with inevitable gaps between successive observations
c. When dealing with such variables, we can count all possible observations and, with some exceptions, that count leads to a finite result.
d. Is correctly described by they are characteristics possessed by persons or objects, called elementary units, in which we are interested and when dealing with such variables, we can count all possible observations and, with some exceptions, that count leads to a finite result..
e. All of these.
Q. 5Which of the following is a correct interpretation of the null hypothesis for analysis of variance for one factor?
a. There is no difference between the mean values of the random variable at the various levels of the test factor.
b. The factor being tested had no effect on the random variable x.
c. There is no variance amongst the mean values of x for each of the different factor levels.
d. All of the above.
Q. 6The expected number of heads in 500 tosses of an unbiased coin is:
a. 150
b. 200
c. 250
d. 300
e. 500
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