# Assignment 6 NURS/HSCI 597 Name: Part I. Hand Calculations Suppose that a university is interested in the average performance of foreign Nurses on MAT score. The university knows that the mean for all students in U.S. is 70 (i.e. = 70) From a random sample of 25 foreign nurses (i.e., n = 25), the mean score is calculated as 75 and the standard deviation as 15. The research question is: Are foreign nurses on average different to the nurses population in terms of their scores on MAT? Step 1: Specify the hypotheses (symbolically) Null Hypothesis: _________________ Alternative hypothesis: ___________ = 0.05 (two-tailed) Step 2: Calculate the necessary statistics
S= (X - X)
2
X tc = SX s 4.07 Sx = = =.29 1 3.16 n (9.90 .75) 6 tc = = .44 2 1.29 t 2.262 = 2.44 > .262 2
(n - 1)
=
148 .90 = .07 4 9
Step 3: Establish the critical value and region of rejection. the (Drawing picture helps you understand the process) Step 4: Make a decision regarding the null hypothesis.
Part II. Data Analysis Using SPSS (SPSS 13.0 Guide to Data Analysis, Page 249) (SPSS 14.0 Guide to Data Analysis, Page 251) Use the gssnet.sav file (Refer to the data set on the CD -ROM that came with your SPSS textbook) to answer the following questions: In chapter 12, you tested the hypothesis that college graduates who work full time work 40-hour work week. Now test the hypothesis that for all full-time workers, the population value for average hours worked is 40 hours (variable hrs1).
a. What assumption do you need to use the one-sample t-test? Do you think the data meet the assumptions? b. What is the null hypothesis that you want to test? The alternative hypothesis? c. Test the hypothesis and write a brief summary of your conclusions.