1-A random sample of 64 SAT scores of students applying for merit scholarships showed an average of 1400 with a standard deviation of 240. Construct the 95% confidence interval.

2-In order to determine whether or not a particular medication was effective in curing the common cold, one group of patients was given the medication, while another group received sugar pills. The results of the study are shown below.

3-An ophthalmologist is assessing intraocular pressures as a part of a community program for the prevention of glaucoma. An important question is how well the measurements made with a new portable device compare to those made with a the standard device that is used in clinical settings. Data are given below (column 1 = response usual care, column 2 = response new treatment). Patients were randomized to receiveone of the two treatments and their continuousresponse recorded. Summary data is given below. What is the p-value for testing if the means differ?

Output

	pressure
N	Mean	Std
Treatments	15	18.6	4.2
New
Standard	15	20.1	4.1

4-An investigator compared two means using the independent sample t-test with 83degrees of freedom and found an observed value for thestatistic of2.5. What is the p-value for this result?

5-An investigator isinterested in testing the recovery rate post interventionbetweena new and an existing treatment. She anticipates that the new treatment will increase the proportion with a successful full recovery from 60% to 72%. In a randomized trial with an equal number of participants per group, how manytotal participants are needed to have 80% power for the above(with alpha=0.05)?

5-A sample of 100 observations is selected from a normal population with a mean of =5 and a standard deviation of =40.

6-An investigator is using a chi-square test tocompare the proportion of patients with a successful recovery after receiving one of4 treatments. There were 25 subjects in each group. What is the critical value for testing no association or treatment and response?