Statistics - Hypothesis Testing Projects

For these three questions, perform the appropriate t- test. Make sure to check the normality assumption.

For these three questions, perform the appropriate t- test. Make sure to check the normality assumption. Follow the t-test with the appropriate non-parametric procedures.

2a) In a study comparing competing medications for asthma, 16 subjects are randomized to one of the competing medication treatments. The data shown are the asthma symptom scores for patients assigned to each treatment. Higher scores are indicative of worse asthma symptoms. Run the appropriate tests to determine if mean symptom scores differ by treatment assignment.

Treatment A	55	60	80	65	72	78	68	71
Treatment B	80	82	86	89	76	81	90	76

2b) Suppose we are interested in whether there is a difference between mean number of sick days taken by men and women in a large corporation. The number of days for a random sample of employees is shown. Run the appropriate tests to determine if mean sick days differ by gender.

Men	5	1	2	0	0	4	5	3
Women	8	9	10	5	0	10	52	40

2c) We wish to evaluate a program designed to improve health status in older patients with Type II diabetes. Health status is measured on a scale of 0-100, with higher scores representing better health. Health status measures are taken on each subject at baseline and then again after participating in the program. Based on the following data, is there evidence that the program significantly changes health status?

Baseline	80	55	63	76	88	45	65	77
Post	85	50	65	78	82	55	68	90

A randomized trial is conducted to evaluate the effectiveness of a newly developed treatment for joint pain in arthritis patients. The treatment is compared to an established treatment that has been shown to be effective. Two hundred patients with arthritis agree to participate and are randomly assigned to either the newly developed treatment or to the established treatment. Among the several clinical outcomes in the investigation, we focus on a secondary outcome, quality of life. The following data were observed:

Treatment	N	Mean QoL	Standard Deviation
New Treatment	100	80.2	5.7
Established Treatment	100	75.4	6.1

a.) Conduct the appropriate hypothesis test, assuming normality, to determine whether the mean quality of life differs between the two groups. Use an alpha = 0.05.
b.) Construct a 95% confidence interval for the difference in mean quality of life between the treatments.
c.) Based on your answer to part B, is there a significant difference in mean quality of life scores between treatments? Justify your answer. Does the confidence interval calculated in part B confirm or contradict your conclusion in part A?

Following head and/or neck trauma, patients are recommended for long-term physical therapy. An observational study is conducted to assess whether there is significant difference in the mean numbers of physical therapy attended by male and female patients suffering from head and/or neck trauma. The data is summarized below.

Gender	N	Mean	Standard Deviation
Male	20	14.6	6.3
Female	15	18.1	5.9

a.) Conduct the appropriate hypothesis test, assuming normality, to determine whether the mean number of hours differs between the gender. Use an alpha = 0.05.
b.) Construct a 95% confidence interval for the difference in mean number of hours attended between the genders.
c.) Based on your answer to part B, is there a significant difference in mean number of hours between genders? Justify your answer. Does the confidence interval calculated in part B confirm or contradict your conclusion in part A?

A randomized trial is run to compare two competing medications for peripheral vascular disease. One of the outcomes is self-reported physical functioning. After taking the assigned medication for six weeks, patients provide data on their abilities to perform various physical activities and a score is computed for each individual. The data is summarized below.

Medication	N	Mean	Standard Deviation
1	25	70.5	24.3
2	25	76.3	21.6

a.) Conduct the appropriate hypothesis test, assuming normality, to determine whether the mean physical functioning scores differ between the randomized groups. Use an alpha = 0.05.

b.) Construct a 95% confidence interval for the difference in mean physical functioning score between the randomized groups.

c.) Based on your answer to part B, is there a significant difference in mean physical functioning scores? Justify your answer. Does the confidence interval calculated in part B confirm or contradict your conclusion in part A?

Price: $35.89

Solution: The downloadable solution consists of 18 pages, 1789 words and 30 charts.
Deliverable: Word Document