Sistema Universitario Ana G Mendez Non-Parametric Methods Worksheet

Non-parametric methods – data analysis
Sorted
Name
Change in weight
Name
Change in weight
Antonio
Armando
Carlos
Efraín
Guillermo
Guillermo
Jose
No change
lost weight
lost weight
lost weight
lost weight
lost weight
gained weight
Juan
Luis
Mario
Pablo
Sergio
Sergio
lost weight
lost weight
lost weight
lost weight
lost weight
lost weight
1- A company has low-calorie breakfasts, lunches and dinners calorie meals. If you join the
club, you receive two packaged meals a day. The
company claims 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 at
the end of the first month. The
experiences of a random sample of 11 members are:
What is of interest to know is whether 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 university students participated in a special training program to improve their
time management. One month after
the course was completed, the students were contacted and asked if the skills acquired in the
program were effective. A total of 42 responded yes. With a significance level of 0.05, is it
possible to conclude that the program is effective?
a. Formulate the null and alternative hypotheses.
b. Formulate your decision rule.
c. Calculate the value of the test statistic.
d. What is your decision regarding the null hypothesis?
3- According to the U.S. Department of Labor, the median salary of a chiropractor in the United
States is $81,500 per year. A group of recent graduates considers this amount to be too low. In
a sample of 205 chiropractors recent graduates, 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.