A clinic provides a program to help their clients lose weight and hires you as a consultant to investigate the effectiveness of the program. A health educator has taken a random sample of 15 people, weighing each person in the sample before the program begins and again 3 months later. Determine whether the program is effective and write up a brief summary of your findings for the clinic.

IDBeforeAfter

1210.00197.00

2205.00195.00

3193.00191.00

4182.00174.00

5259.00126.00

6239.00226.00

7164.00157.00

8197.00196.00

9222.00201.00

10211.00196.00

11187.00181.00

12175.00164.00

13186.00181.00

14243.00229.00

15246.00231.00

Suppose a clinic provides a program to help their clients lose weight and asks a consumer agency to investigate the effectiveness of the program. The agency randomly samples 15 people in the program, weighing each person before the program begins and again three months later. The data (weight in lbs.) for each person is provided in the SPSS file 'weight-fall2019'.Answer the following questions. You will want to take some of your answers from SPSS.

a. (2 pts) What kind of statistical test is appropriate here?Why?

b. (4 pts) What are the null and alternative hypotheses? (Make these two-tailed.)

c. (4 pts) Report the mean and sample standard deviation for each condition.

d. (3 pts) What is t_obt? How many degrees of freedom are there? What is t_crit (a = 0.01_2tail)?

e. (1 pt) Report the p value of t_obt from SPSS.

f. (3 pts) What is your conclusion about H₀, using a = .01_2tail? What is the basis for your decision, in terms of the decision rule?

g. (3 pts) Calculate Cohen's d for these data (see handout!) and interpret the result as a small, medium, or large effect size.

h. (5 pts) Based on the decision about the null hypothesis, the effect size estimate, and general considerations about statistical power, what should the agency conclude about the effectiveness of the weight loss program? Justify your answer in a few sentences.

i. (9 pts) Calculate the Pearson correlation coefficient for weight in the two conditions using SPSS. What is the null hypothesis?What is the alternative hypothesis?What is r_obt?How many degrees of freedom are there? What is r_crit (a = 0.05_2tail)? Report the p value (significance) of r_obt from SPSS.What can the researcher conclude about the correlation?