Question

Researchers want to examine the effect of perceived control on health complaints of geriatric patients in a long-term care facility. Thirty patients are randomly selected to participate in the study. Half are given a plant to care for and half are given a plan but the care is conducted by the staff. Number of health complaints are recorded for each patient over the following seven days. Compute the appropriate t-test for the data provided below.

control over plant = (23, 12, 6, 15, 18, 5, 21, 18, 34, 10, 23, 14, 19, 23, 8)

no control over plant = (35, 21, 26, 24, 17, 23, 37, 22, 16, 38, 23, 41, 27, 24, 32)

a. What are the independent and dependent variables?

           

b. What is the appropriate t-test?

c. State the null and the alternative hypothesis.

d. For α =.05, two tailed, what is the degrees of freedom and t_crit?
e. What is t_obs? (Show step by step the manual calculation with the formula/s. Show step by step SS calculation here)

f. Calculate 95% confidence interval for the difference in means (Show manual calculation with steps and formula/s).

g. Based on the confidence interval for the difference in means, is our expectation on hypothesis test reject or fail to reject the null hypothesis? Explain in one sentence.

k. Compare t-observed with t-critical. Based on this comparison what is our statistical decision??   

l. Write your conclusion as it would appear in a research paper. Report t-statistic (don’t forget to put the df), p-value, and the 95% confidence interval that support your decision.

Answer 1

here we have applied the t test