Question

The table below includes reading test scores for 30 students in a 6^th grade class. Follow the steps outlined in the Corder & Foreman’s textbook (pp. 24-27) to examine the sample’s skewness and kurtosis for normality for an alpha (α) level of .05. Your response should be organized according to those steps. Report your findings. (10 points) (5 points each for skewness and kurtosis. For each 5 points= 2 points for SPSS Printout, 2 points for Z, and 1 point for interpretation)

Sixth-Grade Reading Test Scores

79         74         78         70         80         72         75         80         83         80       

74         73         70         74         81         75         81         82         76         71        

76         74         81         74         74         77         76         74         80         76       

Answer 1

Result:

The table below includes reading test scores for 30 students in a 6^th grade class. Follow the steps outlined in the Corder & Foreman’s textbook (pp. 24-27) to examine the sample’s skewness and kurtosis for normality for an alpha (α) level of .05. Your response should be organized according to those steps. Report your findings. (10 points) (5 points each for skewness and kurtosis. For each 5 points= 2 points for SPSS Printout, 2 points for Z, and 1 point for interpretation)

Sixth-Grade Reading Test Scores

79         74         78         70         80         72         75         80         83         80       

74         73         70         74         81         75         81         82         76         71        

76         74         81         74         74         77         76         74         80         76    

Descriptive Statistics
	N	Minimum	Maximum	Skewness		Kurtosis
	Statistic	Statistic	Statistic	Statistic	Std. Error	Statistic	Std. Error
Reading Test Scores	30	70.00	83.00	0.100	0.427	-0.969	0.833
Valid N (listwise)	30

Tests of Normality
	Kolmogorov-Smirnova			Shapiro-Wilk
	Statistic	df	Sig.	Statistic	df	Sig.
Reading Test Scores	0.142	30	0.124	0.947	30	0.137
a. Lilliefors Significance Correction

SPSS output of the Kolmogorov-Smirnov and the Shapiro-Wilk tests. For both tests the p-value is greater than 0.05 so we would accept the null hypothesis that the data come from a normally-distributed population.