Questions 19

19. The following data on calcium content of wheat are consistent with summary quantities that appeared in the article 'Mineral Contents of Cereal Grains as Affected by Storage and Insect Infestation" (Journal of Stored Products Research [1992]). Four different storage times were considered. Is there sufficient evidence to conclude that the mean calcium content is not the same for the four different storage times? Test the appropriate hypotheses at the 0.05 level. Storage Time Observations 0 months 58.7 57.1 58.2 56.8 55.2 1 month 58.8 57.4 57.5 57.7 59.7 2 months 59.1 60.3 58.0 59.9 59.5 3 months 62.3 58.7 50.3 59.3 59.8 a. Write the name of the test: b . Write hypothesis C . Compute test statistics (write formula and round to two decimal places) d. Compute p-value (in 3 decimal places) and compare with a: e. Do you reject or fail to reject Ho? f. Write your results in the context of the application