Non-parametric methods - ordered data analysis

After studying and reviewing the concepts and practices, answer all the questions provided about the concepts

Non-parametric methods - ordered data analysis.

Name Weight change Name Weight change Antonio No change Juan Baj Arnaldo Bajo Luis Bajo Carlos Bajo Mario Bajo Efran Bajo Pablo Bajo Guillermo Bajo Sergio Bajo Guillermo Bajo Sergio Bajo Jose went up

1. The company Monitores de Peso has low-calorie breakfasts, lunches, and dinners. If you join the club, you receive two boxed meals a day. The company claims that you can eat as much as you want at your third meal and still lose at least five pounds in the first month. Club members are weighed before starting the program and again after the first month. The experiences of a random sample of 11 members are:

What is interesting to know is whether the members lost weight as a result of the program

a. Formulate H0 and H1. b. At a significance level of 0.05, what is your decision rule? c. What is your conclusion regarding the Weight Monitors program?

2. A sample of 60 college students participated in a special training program to improve their time management. One month after finishing the course, the students were contacted and asked if the skills acquired in the program were effective. A total of 42 answered yes. At the 0.05 significance level, is it possible to conclude that the program is effective?

a. Formulate the null and alternative hypotheses. b. Formulate your decision rule. c. Compute the value of the test statistic. d. What is your decision regarding the null hypothesis?

3. According to the U.S. Department of Labor, in the United States the median salary for a chiropractor is $81,500 per year. A group of recent graduates consider this number to be too low. In a sample of 205 recently graduated chiropractors, 170 started with a salary of more than $81,500, and five earned a salary of exactly $81,500.

a. Formulate the null and alternative hypotheses. b. Formulate the decision rule. Use a significance level of 0.05. c. Perform the necessary calculations and interpret the results.

4. It was suggested that the daily production of a sub-assembly part would increase if better lighting was installed, music was played in the background, and free coffee and donuts were offered during the day. Management agreed to test the scheme for a period of time. The number of subassemblies that a sample of employees produce per day is as follows. Apply the Wilcoxon signed rank test and determine if the suggested changes are worthwhile. a. Formulate the null hypothesis. b. Decide on the alternative hypothesis. c. Choose a significance level. d. Formulate the decision rule. and. Calculate T and make a decision. F. What did you assume about the distribution of the differences?