Questions 3,4 and 5

#3: 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 57 58 1 month 58 54 57 56 58 2 months 60 59 60 58 59 59 3 months 62 58 60 59 59 a. Write the name of the test: b. Write hypothesis c. Compute test statistics (write formula and final answer with two decimals) d. Compute p-value (in 3 decimal places) and compare with a: a.Do you reject or fail to reject Ho? b. Write your results in the context of the application: #4. The times required by three workers to perform an assembly-line task were recorded on five randomly selected occasions. Here are the times, to the nearest minute. Test the appropriate hypotheses at the 0.05 level. Hank Joseph Susan 8 8 10 9 10 9 10 8 11 11 10 9 10 e. Write the name of the test: f.Write hypothesis g. Compute test statistics (write formula and final answer with two decimals) h. Compute p-value (in 3 decimal places) and compare, with a: c. .Do you reject or fail to reject Ho? d. Write your results in the context of the application: Four brands of flashlight batteries are to be compared by testing each brand in five # 5. flashlights. Twenty flashlights are randomly selected and divided randomly into four groups of five flashlights each. Then each group of flashlights uses a different brand of battery. The lifetimes of the batteries, to the nearest hour, are as follows. Brand A Brand B Brand C Brand D 28 24 20 42 30 36 36 32 39 31 28 38 28 32 28 28 29 27 33 25 Preliminary data analyses indicate that the independent samples come from normal populations with equal standard deviations. At the 5% significance level, does there appear to be a difference in mean lifetime among the four brands of batteries