Exam 12: Data Bank

A researcher tests three different brands of $2 \%$ milk to see how many grams of fat are in each 8 ounce glass. The results are shown below. Brand A Brand B Brand C 4.68 4.64 4.70 4.70 4.67 4.68 4.64 4.68 4.71 4.71 4.66 4.69 4.67 4.69 4.68 What is the sum of the ranks of Brand A?

A man wanted to see if the median time to get to work was at least 15 minutes. In a random sample of 40 days, he found that 30 days took more than 15 minutes and the rest took less than 15 minutes. Is there Enough evidence to support his claim if he uses an =.05?

What is another term for nonparametric statistics?

Since the Wilcoxon rank sum test uses only the ranks of the data values and not the actual magnitudes of the data values, it is never as powerful as the corresponding t-test.

Given the following data, what is the ranking of data point -31? -28, -28, -38, -25, -21, -26, -43, -31

If a researcher is using the sign test and has 12 positive signs and 7 negative signs, then the test value is:

Nonparametric methods use less information than their parametric counterparts.

How many runs are in the following sequence? C C B A A A A B B B B B C C C

The smaller number of + or - signs is used in the z Test static in the Sign Test for samples of 26 or bigger

The test for randomness considers the frequency of the letters rather than the number of runs.

Nonparametric methods are more sensitive than their parametric counterparts when the assumptions of the parametric methods are met.

When using nonparametric methods, no knowledge of ______________ is required. ________________________________________

The data collected for studying whether or not there is a difference between the number of hours men and women watch television is summarized below. To compute the test value, the data from both samples should be combined, arranged in order, and ranked according to each group. $\frac { 20 } { \mu _ { R } } , \frac { \sigma _ { R } } { }$ , and $z$ -test value for the Wilcoxon rank sum test started in problem 32 and continued in problem 37 . Men: Howrs Watcking T.V. Wonen: Horns Watckise T.V. 2.0 2.0 1.5 2.5 3.0 1.0 2.5 1.0 2.0 1.5 1.0 2.5 0.0 2.0 2.0 1.0 1.5 2.0 2.5 1.5 2.0 1.0 2.0 0.0

Six second grade students tried tossing a ball into a basket ten times each. Their teacher then suggested a different way of tossing the ball, and the six students tried again. The number of successful tosses, before and after the teacher's added instruction, are shown below. Student Successful Tosses Before (out of 10) Successful Tosses After (out of 10) A 6 2 B 3 3 C 6 2 D 3 6 E 6 2 F 3 3 Ignoring the differences of 0 , the positive rank sum is:

A student wanted to see if the median number of Facebook friends is more than 200. For a random sample of 42 people, 30 people had more than 200 friends while the rest had less than 200 friends. Find the value of the test statistic.

In the Wilcoxon tests, if the _______________ is

A pharmaceutical company believes that a new drug should lower blood pressure. In a random sample of 30 test subjects, their blood pressure was measured before taking the drug and then after taking the drug. It was found that 25 had a lower blood pressure reading after taking the drug while 5 had a higher blood Pressure reading. Using =.05, is there enough evidence to support the pharmaceutical company?

Test the following sequence for randomness. $\text { B A A A A B A B B B B A A A }$ You may use the following abbreviated table of critical values for runs (at = .05). Reject the null hypothesis if the number of runs is less than or equal to the smaller value or greater than or equal to the

Given the following data, what is the ranking of data point 1? 4, 4, -6, 7, 11, 6, -11, 1

If data is normally distributed, then the Wilcoxon signed-rank test is more powerful than the sign test.