ALLIED MAT130 MODULE 7 check your understanding

Question Points
1. Find the
critical value. Assume that the test is two=tailed and that n denotes the
number of pairs of data. n = 30, =
0.001.
a. 0.467
b. ±0.467
c. -0.467
d. ±0.362
2. Which of
the following tests could detect some nonlinear relationships between two
variables?
a. Wilcoxon
signed-ranks test
b. Rank correlation
test
c. Wilcoxon rank-sum
test
d. Sign test
3. Which of
the following distribution-free tests has no parametric counterpart?
a. Runs test
b. Sign test
c. Rank correlation
test
d. Kruskal-Wallis
test
4. Which of
the following methods could lead to stronger evidence for the outcome of a
nonparametric test?
a. Ensure that the
distributions are normal
b. Increase sample
size substantially
c. Take multistage
random samples
d. Ensure that the
populations have equal variances
5. Which of
the following nonparametric tests reaches a conclusion equivalent to the
Mann-Whitney U test?
a. Wilcoxon rank-sum
test
b. Sign test
c. Kruskal-Wallis
test
d. Wilcoxon
signed-ranks test
6. The
Kruskal-Wallis test statistic H has a distribution that can be approximated by
which of the parametric distributions?
a. z distribution
b. t distribution
c. F distribution
d. chi-square
distribution
7. When
performing a rank correlation test, one alternative to using the Critical
Values of Spearman’s Rank Correlation Coefficient table to find critical values
is to compute them using this approximation: where t is the t-score from the t
Distribution table corresponding to n – 2 degrees of freedom. Use this
approximation to find critical values of rs for the case where n = 17 and = 0.05.
a. ±0.311
b. ±0.480
c. ±0.482
d. ±0.411
8. Which of
the following nonparametric tests reaches a conclusion equivalent to the
Mann-Whitney U test?
a. Wilcoxon rank-sum
test
b. Sign test
c. Kurskal-Wallis
test
d. Wilcoxon
signed-ranks test
9. Find the
critical value. Assume that the test is two-tailed and that n denotes the
number of pairs of data. n = 60, = 0.05
a. 0.255
b. ±0.253
c. -0.255
d. ±0.255
10.
The following scatterplot shows the percentage of the vote a
candidate received in the 2004 senatorial elections according to the voter’s
income level based on an exit poll of voters conducted by CNN. The income
levels 1-8 correspond to the following income classes: 1 = Under $15,000; 2 =
$15-30,000; 3 = $30-50,000; 4 = $50-75,000; 5 = $75-100,000; 6 = $100-150,000;
7 = $150-200; 8 = $200,000 or more. Use the election scatterplot to find the
critical values corresponding to a 0.01 significance level used to test the
null hypothesis of .

a. 0.881
b. -0.881
c. -0.738 and 0.738
d. -0.881 and 0.881
11. The
following scatterplot shows the percentage of the vote a candidate received in
the 2004 senatorial elections according to the voter’s income level based on an
exit poll of voters conducted by CNN. The income levels 1-8 correspond to the
following income classes: 1 = Under $15,000; 2 = $15-30,000; 3 = $30-50,000; 4
= $50-75,000; 5 = $75-100,000; 6 = $100-150,000; 7 = $150-200; 8 = $200,000 or
more. Use the election scatterplot to find the value of the rank correlation
coefficient rs.
a. rs = -1
b. rs = 1.97621
c. rs = -0.9762
d. rs = 0.9762
12. Find the
critical value. Assume that the test is two=tailed and that n denotes the
number of pairs of data. n = 7, = 0.05
a. -0.786
b. ±0.786
c. 0.786
d. ±0.714
13. When
performing a rank correlation test, one alternative to using the Critical
Values of Spearman’s Rank Correlation Coefficient table to find critical values
is to compute them using this approximation:
where t is the t-score from the t Distribution table corresponding to n
– 2 degrees of freedom. Use this approximation to find critical values of rs
for the case where n = 40 and = 0.10.
a. ±0.264
b. ±0.304
c. ±0.312
d. ±0.202
14. Find the
critical value. Assume that the test is two-tailed and that n denotes the
number of pairs of data. n = 7, = 0.05
a. -0.786
b. ±0.786
c. 0.786
d. ±0.714
15.
Given below are the analysis of variance results from a
Minitab display. Assume that you want to use a 0.05 significance level in
testing the null hypothesis that the different samples come from populations
with the same mean. Identify the value of the test statistic.

a. Reject the null
hypothesis since the p-value is greater than the significance level.
b. Accept the null
hypothesis since the p-value is greater than the significance level.
c. Accept the null
hypothesis since the p-value is less than the significance level.
d. Reject the null
hypothesis since the p-value is less than the significance level.