Question

In: Statistics and Probability

A researcher wishes to study whether classical music has any affect on the ability to memorize...

A researcher wishes to study whether classical music has any affect on the ability to memorize information. A random sample of 51 adults were given a memory test in a quiet room. Then they were given a second memory test while listening to classical music. On the second test, 26 people received a higher score, 23 received a lower score, and 2 received the same score. A sign test at the 0.01 significance level will be used to test the claim that the music has no affect on memorization ability.

(a) What is the value of the test statistic used in this sign test?

(b) Give the value(s) of the critical value(s) used in this sign test. If there are two critical values, enter them both with a comma between them.

Solutions

Expert Solution

a)

The value of the test statistic used in the sign test is Z = -0.286

b) There are two critical value, as this is a two-tailed test.

The critical values are:

The conclusion for the above test is


Related Solutions

QUESTION 3 A researcher wanted to study the effects of caffeine on ability to memorize a...
QUESTION 3 A researcher wanted to study the effects of caffeine on ability to memorize a list of 16 non-related words. Additionally, the researcher was curious if extroverts or introverts would be better on the memory task and if caffeine would affect their performance differently. Given four equal conditions with 10 people in each condition, participants were either given a cup of coffee or not (depending on their condition). All participants had a 16-word list presented five times and their...
A researcher wishes to see whether there is any difference in the average starting salary for...
A researcher wishes to see whether there is any difference in the average starting salary for a college graduate's first job after graduating with the degrees shown. She randomly sampled graduates in each degree and the results are listed. At cr = .10, can we conclude that there is a difference in the average starting salaries of these graduates? Economics 42 53 49 44 54 Medicine 69 54 58 64 56 History 35 40 53 42 X1= X2= X3= XGM=...
A researcher wishes to see whether there is any difference in the weight gains of athletes...
A researcher wishes to see whether there is any difference in the weight gains of athletes following one of three special diets. Athletes are randomly assigned to three groups and placed on the diet for 6 weeks. The weight gains (in pounds) are shown here. At α = 0.05, can the researcher conclude that there is a difference in the diets? Diet A             Diet B             Diet C             Total                         3                      10                   8 6                      12                   3 7                      11                   2 4                      14                  ...
A researcher wishes to test the effects of excerise on the ability to complete a basic...
A researcher wishes to test the effects of excerise on the ability to complete a basic skills test. He designs a pre-test and post-test to give to each participant. You believe that there was an increase in the scores. You believe the population of the differences is normally distributed, but you do not know the standard deviation. When calculating difference use Post-test minus Pre-test. pre-test post-test 52 60 60 55 44 49 92 94 84 76 55 65 64 58...
Suppose we think that listening to classical music will affect the amount of time it takes...
Suppose we think that listening to classical music will affect the amount of time it takes a person to fall asleep; we conduct a study to test this idea. Answer all of the following questions: Assume that the amount of time it takes people in the population to fall asleep is normally distributed. In the study, we have a sample of people listen to classical music and then we measure how long it takes them to fall asleep. Supposed the...
A researcher thinks that listening to classical music reduces anxiety. She measures the anxiety of 10...
A researcher thinks that listening to classical music reduces anxiety. She measures the anxiety of 10 persons then plays Mozart's "Eine Kleine Nachtmusik". Following that the researcher measures their anxiety again. (Note that anxiety is measured on a scale from 1 to 7, with higher numbers indicating increased anxiety.) Does the study support her hypothesis? Compute the upper bound of the confidence interval using the following data: mean of the difference scores (subtract pretest from posttest): -1.6 standard error of...
A researcher wants to determine whether or not a given drug has any effect on the...
A researcher wants to determine whether or not a given drug has any effect on the score of a human subject performing a task of ESP sensitivity. He randomly assigns his subjects to one of two groups. 900 subjects in group 1 (treatment group) receive the drug. In contrast, 1000 subjects in group 2 (control group) receive a placebo. For the drug group, the mean score on the ESP test was 15, SD=4. For the no-drug group, the mean =9,...
2. A researcher wishes to determine whether there is a difference in the average age of...
2. A researcher wishes to determine whether there is a difference in the average age of elementary school, high school, and community college teachers. Teachers are randomly selected from each group. Their ages are recorded below. Test the claim that at least one mean is different from the others. Use α = 0.01. Resource: The One-Way ANOVA Identify the null hypothesis, Ho, and the alternative hypothesis, Ha. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Find the critical...
SPSS assignment – Single-sample t test A researcher hypothesizes that people who listen to classical music...
SPSS assignment – Single-sample t test A researcher hypothesizes that people who listen to classical music have higher concentration skills than those in the general population. On a standard concentration test, the overall population mean is 15.5. The researcher gave the same test to a random sample of 12 individuals who regularly listen to classical music. Their scores on the test were as follows: 16, 14, 20, 12, 25, 22, 23, 19, 17, 17, 21, 20 Conduct a single sample...
A researcher wishes to determine whether there is a relationship between the Campus at which SACAP...
A researcher wishes to determine whether there is a relationship between the Campus at which SACAP students are based and their statistics anxiety level. The results of the subsequent survey are given in the following table: Statistics anxiety level Campus Low Medium High Total Online 13 30 67 Cape Town 58 70 22 Johannesburg 26 34 30 Total Perform an appropriate hypothesis test at α = 0.01. If a significant result is obtained, determine the strength of the relationship. Show...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT