Page 67 - Quantitative Data Analysis

Quantitative Data Analysis
Simply Explained Using SPSS

Example # 1

Based on the data, you are interested in comparing the average
number of hours worked out per week by males and females. What
would be a good way of gathering data to study the exercise habits
of males and females? From the sample of 30, 20 are female and 10
are male. Females work out on average 4.3 hours a week, with a
variance of 12.5. Males work out on average 4.0 hours a week, with
a variance of 23.1. Test this at a 0.05 level of significance.

a. What type of test is appropriate? Independent t test

b. H 0: µ m = µ f

c. H a: µ m≠ µ f

d. One- two-tailed test (if one-tailed, left or right):Two tailed

e. What would be a Type I error in this study? Concluding that
males and females average per week workout is significant
different while in reality they are same.

f. What would be a Type II error in this study? Concluding that
males and females average per week workout is not
significant different while in reality they are different.

g. Level of Significance (Alpha): 0.05

h. Degrees of freedom:28 (10+20-2)

The Theory and Applications of Statistical Inferences 51