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QNT 561 Final Exam.

P.S. Your questions will be chosen randomly from a large set of questions. Nobody can guarantee that these questions will cover completely your exam. If I helped you please leave “A” feedback (I need it very much). Thank you and good luck.

TRUE/FALSE: Mark the answers by circling T if the statement is true or F if the statement is false.

T F Q1: The number of individuals in a family is a continuous variable.

T F Q2: T-distributions are spread out more than a normal distribution with MU = 0, SIGMA = 1.

T F Q3: A random sample of 64 cars passing a check point on a certain highway showed a mean speed of 60 mph. The standard deviation of speeds is known to be 15 mph. In this case 60 mph is a point estimate of the population mean speed on this highway.

T F Q4: According to the Central Limit Theorem, the shape of the sampling distribution of sample mean (given that n ≥ 30) will be normal, whether or not the shape of the population is normal.

T F Q5: If the sample size is large (n ≥ 30), the standard deviation of the sample mean will equal the population standard deviation for that random variable.

T F Q6: Level of confidence is another name for level of significance.

T F Q7: If we would reject a null hypothesis at the 5% level, we would also reject it at the 1% level.

T F Q8: A Type I error is committed when one accepts the null hypothesis when it is false.

T F Q9: In a one-way ANOVA, when the null hypothesis is false, the calculated F-ratio would exceed the critical value of F for the chosen significance level.

T F Q10: Rejection of a hypothesis using a nonparametric test is more convincing than using an equivalent parametric test when the data are badly skewed.

T F Q11: Most nonparametric tests assume ordinal data.

T F Q12: One of the assumptions of regression analysis is that the error terms are normally distributed.

MULTIPLE CHOICE: Select the correct answer in each of Questions 11 to 25. There is only one correct answer to each question.

Q13: What area under the standard normal curve falls outside the Z values -1.96 and 1.96?

a. 0.05

b. 0.01

c. 0.90

d. 0.10

Q14: If each of a set of raw scores is transformed into a Z-score, the new distribution will have a standard deviation equal to

a. zero.

b. one.

c. the mean of the original distribution.

d. the standard deviation of the original distribution.

Q15: Which of the following random variables are continuous and which are discrete?

1. Score in a IQ Test

2. number of kittens in a litter

3. number of cars crossing a Traffic Light in one hour

4. the number of rainy days in a month

a. 1, 2 continuous; 3, 4 discrete

b. 1, 3, 4 continuous; 2 discrete

c. 4 continuous; 1, 2, 3 discrete

d. 1 continuous; 2, 3, 4 discrete

Q16: A factor that is varied by an experimenter in order to assess its effect is known as a(n):

a. dependent variable

b. independent variable

c. control variable

d. none of the above

Q17: For students' distribution, 90 percent of the area lies between t = -1.895 and t = 1.895 if the degrees of freedom are:

a. 6

b. 3

c. 7

d. 8

Q18: When (for what level of confidence) do we use Z = 1.645, for a two-sided test or confidence interval?

a. 90%

b. 95%

c. 80%

d. 100%

Q19: In finding confidence intervals for the mean of a normal population by using a t-statistic, student A uses a confidence coefficient of 0.95 while student B uses 0.99. Which one of the following statements is true about the length of the confidence intervals found by A and B?

a. B's interval will always be smaller than A's interval

b. B's interval will usually be smaller than A's interval

c. B's interval will always be larger than A's interval

d. B's interval will usually be larger than A's interval

Q20: We know the mean MU of a population. Suppose 1,000 samples of size n are drawn from this population. For each sample we compute a 90% confidence interval for MU. We would expect the mean of the population would NOT be contained within approximately how many of these intervals?

a. 0

b. 10

c. 100

d. 900

Q21: If the P-value for your test statistic satisfies p > .25, then:

a. you would not reject H(O) for ALPHA = .05

b. you would reject H(O) for ALPHA = .05

c. you would reject H(O) for ALPHA = .10

d. you would reject H(O) for ALPHA = .01

Q22:The appropriate alternative hypothesis for a lower tail test to determine if mean body weight of all the men who have joined a health club is less than 185 pounds would be

a. HA: μ ≥ 185 lb.

b. HA: μ < 185 lb.

c. HA: μ = 185 lb.

d. HA: μ ≠ 185 lb.

Q23: The e-mail usage for two different plants of a large company was compared at level of significance 0.05. A sample of 100 employees was selected at each plant. The mean number of e-mail messages sent per employee for one plant was 16 per week and the standard deviation was 4. For the other plant, the mean was 15 and the standard deviation was 3. For the test of equal population means versus unequal population means, the absolute value for the computed test statistic, the critical values, and the p-value respectively are:

a. 2, ± 1.96, 0.0455

b. 3, ± 2.33, 0.0027

c. 3, ± 1.96, 0.0455

d. 2, ± 1.65, 0.0455

Q24: Three samples of 10 were used to compare 3 population means. If the Sum of Squares Treatment (SST) is 350, what is the value for the Mean Square Treatment (MST)?

a. 350

b. 175

c. 35

d. 13

Q25: Which nonparametric test is analogous to a parametric two-sample t-test for means?

a. Wald-Wolfowitz test

b. Wilcoxon signed rank test

c. Mann-Whitney test

d. Kruskal-Wallis test

Q26: Which nonparametric test is analogous to a parametric t-test for differences in paired data?

a. Wald-Wolfowitz test

b. Wilcoxon signed rank test

c. Mann-Whitney test

d. Kruskal-Wallis test

Q27: Which nonparametric test is analogous to a one-factor ANOVA?

a. Wald-Wolfowitz test

b. Wilcoxon signed rank test

c. Mann-Whitney test

d. Kruskal-Wallis test

Q28: A linear regression between Y and X produced the following equation for the least squares line:

= -4.3 + 2.1x

Which of the following statements concerning this relationship is true?

a. For every one-unit increase in X, Y increases 4.3 units.

b. For every one-unit increase in X, Y decreases 2.1 units.

c. For every one-unit increase in X, Y decreases 4.3 units.

d. For every one-unit increase in X, Y increases 2.1 units.

Q29: The difference between an observed value of the dependent variable and its predicted value obtained from the regression equation is called a(n)

a. extrapolation.

b. interpolation.

c. residual.

d. mean deviation.

Q30: A regression line has been found and the statistician wants to know if the line has a slope. What is the appropriate null hypothesis to test?

a. H0: β1 = 0.

b. H0: β1 > 0.

c. H0: β1 < 0.

d. H0: β1 ≠ 0.

Solution Description

QNT 561 Se