1. An ANOVA procedure is used for data obtained from four populations. Four samples, each comprised of 30 observations, were taken from the four populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F are
a. 3 and 30
b. 4 and 30
c. 3 and 119
d. 3 and 116
e. None of the above answers is correct
2. Which of the following is not a necessary assumption for the analysis of variance?
a. The random variable of interest for each population has a normal distribution
b. The variance linked with the random variable must be the same for each population
c. At least 3 populations are under consideration
d. All of the above are required assumptions
3. In analysis of variance, one estimate of 2 is based upon the differences between the treatment mean and the
a. means of each sample
b. overall sample mean (grand mean)
c. sum of observations
d. None of the above answers is correct.
4. The critical value with 6 numerator and 60 denominator degrees of freedom at =0.05 is
a. 3.74
b. 2.37
c. 2.45
d. None of the above is the right answers
5. A variable of interest in an ANOVA procedure is called
a. a partition
b. a treatment
c. either a or b
d. a factor
e. None of the above is the correct answer.
6. In factorial designs, the response produced when the treatments of one factor interact with treatments of another in influencing the response variable is
a. main effect
b. replication
c. interaction
d. None of the above answers is correct
7. An experimental design where the experimental units are randomly assigned to the treatments is known as
a. factor block design
b. random factor design
c. completely randomized design
d. None of the above answers is correct
8. Whenever we have more than one factor influencing the response and we need to investigate the influence of all factors on the response, then we should be conducting
a. Completely randomized design test
b. Randomized block test
c. Factorial experiment design test
d. None of the above answers is correct.
9. The manager of Sandy Corporation wants to determine whether or not the type of work schedule for her employees has any effect on their productivity. She has selected 15 production employees at random and then randomly assigned 5 employees to each of the 3 proposed work schedules. The following shows the units of production (per week) under each of the work schedules: Work Schedule 1 50, 60, 70, 40, 45 Work Schedule 2 60, 65, 66, 54, 57 Work Schedule 3 70, 75, 55, 40, 55. Which of the following is a correct statement?
a. the appropriate alternative hypothesis is μ1=μ2=μ3
b. the appropriate null hypothesis is μ1≠μ2≠μ3
c. the appropriate null hypothesis is μ1=μ2=μ3
d. None of the above answers is correct
10. In reference to Sandy Corporation problem statement, if the significance level for this problem is 5%, what is the critical value for test statistic?
a. 3.64
b. 3.12
c. 3.89
d. 3.99
e. None of the above answers is correct