Run a one-sample t-test on the difference variable you created.what test value should be used for this analysis

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

1. Test the hypothesis that for all college graduates, the population value for body fat percentage is 20 when using method 1 (variable fatpct1).

a. Run the statistical test remember to report all required information.  (Hint: How many groups do you have?  Is there a standard you are testing against?  What is it?)   (7 pts)

b. What is the 95% confidence interval for the difference reported in the test you just ran?  Now find the 95% confidence interval for the average body fat percentage using method 1 (fatpct1)? (Hint:  use the Explore procedure) How do the 2 confidence intervals differ?   (4 pts)

 c. Based on the 95% confidence interval for the mean of body fat percentage using method 1 can you reject the null hypothesis that the average population value for body fat percentage using method 1 is 18%? Explain. (2 pts)

 Independent samples t-test

2. We can use the body fat data to test hypotheses about differences in body fat percentages based on gender (gender) and age (age).

1. Use descriptive statistics to describe the age and gender composition of those in the data set.  In addition examine age by gender, be sure to report these values as well.  (5 points)

2. Test the null hypothesis that men and women have the same body fat percentage using method 1 (fatpct1).  Can we assume equality of variance for the two groups?  How do you know?  Report all required information on your statistical test. (8 pts)

3. Select only those 50 years old or older.  (Hint: use Dataà Select cases à “if condition is satisfied” and click if, enter the condition age > 49.9).  Test the null hypothesis that the average body fat percentage is the same for men and women over 50 years old (use fatpct1).  Can we assume equality of variance for the two groups?  How do you know?  Report all required information on your statistical test. (8 pts)

Paired samples t-test

3. Use Compute to create a new variable that is the difference between the between the two body fat percent variables (variables fatpct1 and fatpct2).  (Hint: use TransformàCompute variable)

a.  Make a histogram of the variable you created.  Include it here. (1 pts) 

b.  Make a Q-Q plot of the differences. How does the distribution differ from the normal distribution?  (Hint:  Use AnalyzeàDescriptive StatisticsàExplore; under the “Plots” button, click the “Normality Plots with Tests” box) (2 pts)

 c. Perform a paired t-test using the Paired-Samples T-Test procedure. Report all required information on your statistical test.  (Hint:  Use the original variables fatpct1 and fatpct2). (7 pts)

 d.  Run a one-sample t-test on the difference variable you created. What test value should be used for this analysis?  Why? Report all required information on your statistical test.  (9 pts) 

e. Compare the results of the two tests (paired t-test and one sample t-test). In what ways are the two tests the same? In what ways are they different? (3 pts)

ANOVA ~ Comparing more than two groups with continuous outcomes

Use the hepatitis.sav file from Blackboard to answer the following questions

4.  

1. Compute basic descriptive statistics of gender, experiencing malaise, experiencing fatigue, Alk Phosphate, Albumin and Protime (mean & standard deviation for continuous variables, n(%) for categorical) for each of the four age groups (Hint: Use the “Explore” and “Crosstabs” Report these in a single table). (10 pts)

2. Make 2 boxplots.  One of Alk Phosphate by the 4 age groups, one of Albumin for the four age groups, and one of Protime for the four age groups. (6 pts

3. Does the assumption of equal variances in the groups appear reasonable for the Alk Phosphate variable?  The Albumin variable? The Protime variable?  Report numbers to support you statements.   (Hint: Use the Spread vs. Level with Levene Test and request “untransformed” in the Explore procedure or choose homogeneity of variance test under options of the one way ANOVA)? (6 pts)

4. Does the assumption of normality in the groups appear reasonable for the Alk Phosphate variable?  The Albumin variable? The Protime variable?  Report numbers to support you statements.    (Hint: You can examine normality both visually through graphing and through the K-S tests.) (6 pts)

 

5. Perform a one-way analysis of variance tests comparing the age groups for Alk Phosphate, Albumin and Protime. (Hint: you will have three one-way ANOVAs). What can you conclude?  If needed run Tukey HSD post-hoc tests.  Which groups are significantly different from one another?  (30 pts)

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