1 Given the following data set what is the ranking of the da

1. Given the following data set, what is the ranking of the data value 28? Presume that lower data values rank ahead of higher data values.

31, 28, 21, 34, 38, 33, 16, 28

a.2

b. 2.5

c. 3

d. 3.5

2. The _______________ is used to test a hypothesis about a median value for a sample. It includes counting the number of values greater or less than the hypothesized median value.

3. A paired-sample sign test is used to test hypotheses comparing two dependent samples, such as a before and after test.

A. True

B. False

4. When performing a sign test, one needs to consider whether or not data values are greater or less than a hypothesized median, as well as the magnitude of the differences between the values and the hypothesized median..

A. True

B. False

5. If a researcher using the sign test counts 16 positive signs and 9 negative signs, the test value is ______.

a. 9

b. 7

c. –7

d. 16

Solution

1. Arrange the data in increasing order

          16 21 28 28 31 33 34 38

Rank     1    2 3.5 3.5 5 6    7    8

the ranking of the data value 28 is 3.5

2. The ordinary signed rank test is used to test a hypothesis about a median value for a sample. It includes counting the number of values greater or less than the hypothesized median value.

3. A paired-sample sign test is used to test hypotheses comparing two dependent samples, such as a before and after test. It is true because

4. When performing a sign test, one needs to consider whether or not data values are greater or less than a hypothesized median, as well as the magnitude of the differences between the values and the hypothesized median. It is false because in sign test only consider whether or not data values are greater or less than a hypothesized median but in Wilcoxon\'s signed test we also use magnitude of the differences.

5. For sign test we will consider only the positive signs. So, the test value is 16