The distribution of the test statistic for analysis of variance is the:
a. normal distribution.
b. Student's t-distribution.
c. F-distribution.
d. chi-squared distribution.
Q. 2The standard deviation of a binomial distribution for which n = 50 and p = 0.15 is:
a. 50.15
b. 7.082
c. 6.375
d. 2.525
e. 0.15
Q. 3Which of the following is not a required condition for one-way ANOVA?
a. The sample sizes must be equal.
b. The populations must all be normally distributed.
c. The population variances must be equal.
d. The samples for each treatment must be selected randomly and independently.
Q. 4Which of the following is an example of a binomial experiment?
a. A shopping mall is interested in the income level of its customers and is taking a survey to gather information.
b. A business firm introducing a new product wants to know how many purchases its clients will make each year.
c. A sociologist is researching an area in an effort to determine the proportion of households with a male head of household.
d. A study is concerned with the average number of hours worked by high school students.
e. All of these.
Q. 5In a single-factor analysis of variance, the null hypothesis of equal population means is rejected if:
a. MS (factor) is much smaller than MS (error)
b. MS (factor) is much larger than MS (error)
c. MS (factor) is equal to MS (error)
d. None of the above
Q. 6A telephone survey of American families is conducted to determine the number of children in the average American family. Past experience has shown that 30 of the families who are telephoned will refuse to respond to the survey. Which of the following statements is not a binomial random variable?
a. The number of families out of 50 who respond to the survey.
b. The number of families out of 50 who refuse to respond to the survey.
c. The number of children in a family which responds to the survey.
d. All of these are binomial random variables.
e. None of these is a binomial random variable.
Q. 7In an ANOVA test, the test statistic is F = 6.75 . The rejection region is F > 3.97 for the 5 level of significance, F > 5.29 for the 2.5 level, and F > 7.46 for the 1 level. For this test, the p-value is
a. greater than 0.05
b. between 0.025 and 0.05
c. between 0.01 and 0.025
d. approximately 0.05
Q. 8Which of the following statements regarding a binomial experiment is false, where n is the number of trials, and p is the probability of success in each trial?
a. The n trials are independent.
b. The standard deviation is np(1 p).
c. The mean is np.
d. There are only two possible outcomes.
e. The n trials are independent and the standard deviation is np(1 p).