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Randomized Complete Block Designs

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For each of the following problems you are to provide the following:

a) The experimental design structure (CRD, RCBD).
b) The null and research hypothesis, test statistic and all important (necessary) summary statistics, rejection region and conclusion.
c) Based on the results of the analysis (part b), could you have made a type I error or a type II error? Explain why you could have committed the error.
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3. High nitrate intake in food consumption has been shown to have a number of deleterious effects, including lower thyroxin production, increased incidence of cyanosis in newborns, and lower milk production in dairy cows. The following data is the result of an experiment to measure the percentage of weight gain for young laboratory mice given a standard diet and mice given 2000 ppm nitrate in their drinking water.

Nitrate: 12.7 19.3 20.5 10.5 14.0 10.8 16.6 14.0 17.2
Control: 18.2 32.9 10.0 14.3 16.2 27.6 15.7
Do these data suggest that true mean weight gain is adversely affected by nitrate in the diet?
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4. Although not very popular with management because of the cost of implementing its requirements, the Occupational Safety and Health Act (OSHA) has been effective in reducing industrial accidents. The accompanying data were collected on lost-time accidents (the figures are given in mean man-hours lost per month over a period of one year), both before and after OSHA came into effect. These data were recorded for six industrial plants.
Plant Number
1 2 3 4 5 6
Before OSHA 38 64 42 70 58 30
After OSHA 31 58 43 65 52 29

Do these data provide sufficient evidence to indicate that OSHA has been effective in reducing lost-time due to accidents on the job?

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Solution Summary

Excel attachment shows the experiment block design type, null hypothesis and type of errors most likely for 2 experiments.

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