The weights in grams of a sample of plain candies is given above. Use statistica
ID: 3226501 • Letter: T
Question
The weights in grams of a sample of plain candies is given above.
Use statistical software to determine whether there is difference in the mean weights of candies of different colours. Use the 0.005 significance level.
Red Orange Yellow Brown Tan Green 0.946 0.902 0.929 0.896 0.845 0.935 1.107 0.943 0.96 0.888 0.909 0.903 0.913 0.916 0.938 0.906 0.873 0.865 0.904 0.91 0.933 0.941 0.902 0.822 0.926 0.903 0.932 0.838 0.956 0.871 0.926 0.901 0.899 0.892 0.959 0.905 1.006 0.919 0.907 0.905 0.916 0.905 0.914 0.901 0.906 824 0.822 0.852 0.922 0.93 0.93 0.908 0.965 1.052 0.883 0.952 0.833 0.898 0.903 0.939 0.895 0.94 0.882 0.906Explanation / Answer
Ho: All means are equal
Ha: At least one mean is significantly different from others
We run a one-factor ANOVA and get the following output:
Since the p- value (0.3774) > 0.005, we fail to reject the null hypothesis
Conclusion: There is noevidence of a difference in the mean weights of candies of different colours.
One factor ANOVA Mean n Std. Dev 0.9512 12 0.06751 Red 0.9108 10 0.01701 Orange 0.9252 14 0.02196 Yellow 83.2007 10 260.29034 Brown 0.9045 10 0.04810 Tan 0.8823 8 0.03629 Green 13.7748 64 102.88575 Total ANOVA table Source SS df MS F p-value Treatment 57,125.48266 5 11,425.096532 1.09 .3774 Error 609,759.65721 58 10,513.097538 Total 666,885.13987 63Related Questions
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