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1) In a two-sample test of means for independent samples, the equal sign always appears in

a. The null hypothesis.

b. The alternate hypothesis.

c. The upper tail of the test statistic.

d. None of the above.

2) In a two-sample test of means for independent samples, we use the z distribution when

a. The population standard deviations are equal.

b. Both populations have at least 4000 observations.

c. Both population standard deviations are known.

d. nB and n(1-B) are both greater than 5.

3) Which of the following is a requirement for a two-sample test of proportions.

a. The population standard deviations are equal.

b. Both populations are positively skewed.

c. Both samples are at least 30.

d. nB and n(1-B) are both greater than 5.

4) A random sample of 10 observations is selected from the first normal population and 8 from the second normal population. For a one-tailed test of hypothesis (.01 significance level) to determine if there is a difference in the population means, the degrees of freedom are

a. 18

b. 17

c. 16

d. None of the above

5) A random sample of 10 observations is selected from the first normal population and 8 from the second normal population. For a one-tailed test of hypothesis (.01 significance level) to determine if there is a difference in the population means, the critical value(s) are

a. 2.552

b. -2.921, 2.921

c. -2.583, 2.583

d. None of the above

6) Which of the following is not a requirement for the two-sample test of means for independent samples observations?

a. Normal populations

b. Equal population standard deviations

c. Equal sample sizes

d. All of the above are required.

7) To conduct a test of means for two independent samples which of the following are always required?

a. At least one of the samples must have 30 observations.

b. Both samples must have 30 observations.

c. np and n (1 - p) must be 5.

d. None of the above.

8) To conduct a test of hypothesis for dependent samples we assume that

a. The distribution of the difference between the paired observations follows the normal distribution.

b. Both samples are at least 30.

c. The samples are unrelated.

d. All of the above.

9) When conducting a test of hypothesis for the dependent samples

a. We should have at least 30 pairs.

b. The significance level is more than .05.

c. The p-value is more than .10.

d. None of the above

10) Which of the following is not necessary to determine a p-value?

a. Knowledge of whether the test is one-tailed or two-tailed.

b. The value of the test statistic.

c. The level of significance.

d. All of the above.

11) The term ANOVA

a. Has no special meaning.

b. Stands for Analysis of Variance.

c. Stands for Another Numerical Observation of the Variance.

d. None of the above.

12) The general idea of analysis of variance is to compare estimates of variance

a. From both between the treatment means and within the treatment means

b. Based on the several treatments.

c. From within the treatments.

d. None of the above.

13) Which of the following is not a characteristic of the F distribution?

a. It is a discrete distribution.

b. In cannot be negative.

c. It is based on two sets of degrees of freedom.

d. All of the above.

14) The term “Treatment” refers to

a. A source of variation.

b. The numerator degrees of freedom.

c. The variation within the cells.

d. None of the above.

15) Suppose we select 6 observations from each of three treatments. The appropriate degrees of freedom are

a. 3 and 6.

b. 2 and 6.

c. 2 and 15.

d. None of the above

16): The term MSE

a. Is called the mean square error.

b. Is found by SSE/(n - k).

c. Is an estimate of the common population variance.

d. All of the above.

17) Which of the following is not an assumption required for ANOVA?

a. The populations are normally distributed

b. The populations have equal standard deviations

c. The samples are independent.

d. All of the above.

18) Under which of the following conditions will the computed value of F be negative?

a. When there is no difference in the treatment means

b. When there is no difference in the block means

c. When the SS total is larger than SST.

d. F cannot be negative.

19) Suppose we conduct an ANOVA test of four treatment means and reject the null hypothesis. Construction of a confidence interval for the difference between the first and second sample mean revealed the interval to be 10 plus or minus 12. We conclude

a. This pair of means differ.

b. This pair of means does not differ.

c. Because we do not know the units involved, we cannot draw any conclusion.

d. Because we do not know the degrees of freedom, we cannot draw any conclusion.

20) In a two-way ANOVA the second source of variation is due to

a. Random error.

b. Blocks.

c. Total variation

d. None of the above

21) A scatter diagram is a chart

a. In which the dependent variable is scaled along the vertical axis.

b. In which the independent variable is scaled along the horizontal axis.

c. That portrays the relationship between two variables.

d. All of the above.

22) In correlation analysis

a. We consider several independent variables.

b. We study the strength of the association between two variables.

c. We consider the intercept with the Y-axis.

d. None of the above.

23) The sample coefficient of correlation

a. Has the same sign as the slope, i.e. b.

b. Can range from -1.00 up to 1.00

c. Is also called Pearson=s r.

d. All of the above.

24) The coefficient of determination

a. Is the square of the coefficient of correlation.

b. Cannot be negative.

c. Reports the percent of the variation in the dependent variable explained by the independent variable.

d. All of the above.

25) Suppose we developed the following least squares regression equation: Y= = 3.5 + 2.1X. Which of the following statements are correct?

a. The dependent variable increases 2.1 for an increase of 1 in X.

b. The equation crosses the Y-axis at 3.5.

c. If X = 5, then Y= = 14.

d. All of the above.

26) The standard error of estimate is

a. Based on squared deviations from the regression line.

b. May assume negative values.

c. Is in squared units of the independent variable.

d. All of the above.

27) Which of the following is not a necessary condition for regression analysis.

a. The standard deviation of each of the conditional distributions must be the same.

b. The Y values are independent.

c. For each X value, there is a group of Y values and these Y values are normally distributed.

d. The slope of the regression line is positive (increasing).

28) Which of the following is not based on squared deviations from the regression line?

a. The coefficient of correlation.

b. The coefficient of determination.

c. The standard deviation.

d. The standard error of estimate.

29) In an ANOVA table for regression, the degrees of freedom for regression is

a. Equal to 1.

b. n - 1.

c. n - 2.

d. None of the above.

30) The term SSR/SS total is also called the

a. Sum of squares due to regression.

b. Coefficient of determination.

c. Standard error of estimate.

d. Coefficient of correlation.

Solution Description

QNT 561 Se