1. A researcher wanted to investigate the effects of a high glucose diet on the

Question

1. A researcher wanted to investigate the effects of a high glucose diet on the weight of Syrian hamsters (Mesocricetus auratus). He randomly selected 100 adult hamsters to receive either (a) intravenous glucose (10 mg/min) or (b) intravenous saline for 30 minutes each day for 4 weeks. At the end of the 4 week period, he measured the weight (in ounces) of each hamster. The researcher found that the weight of the hamsters in the glucose group was right skewed, so he transformed all the data by taking the natural log of the hamsters’ weights. After the transformation, the data points were normally distributed.

a. What type of statistical test should the researcher use to determine if the transformed weights of hamsters in the two groups differ?

b. What is the critical value for this test?

c. After running the analysis on the transformed data, the researcher found a test statistic of 1.992. What should he conclude, in the context of the problem?

Explanation / Answer

a.) He should test for the difference in means of the weights if the two hamsters.

B.) Critical value is Z0.025 = 1.96

c.) Since 1.992 < 1.96

We conclude that the weights of the hamsters is the same for the two groups.

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