What is wrong with each of the following statements? There is a high Pearson cor
ID: 3124373 • Letter: W
Question
What is wrong with each of the following statements? There is a high Pearson correlation between the age of the American worker and their occupation. We found a high Pearson correlation (r = 1.19) between serum folate levels and dietary intake of folic acid. In a large case-control study, researchers compared blood levels of environmental chemicals among patients with and without a specific kind of cancer to determine which environmental chemicals cause cancer. The distribution HDL cholesterol values in a sample of 50 patients was found to be skewed right wit median of 45 mg/dl and a mean value of 75 mg/dL. It was clear she was one of the brightest students in the class. Using z-scores to standardize IQ values, her z-score was -2. The distribution of fasting glucose values in a 100 sample of healthy patients was found to be ske right with mean value of 80 mg/dL and a standard deviation of 5 mg/dL. Based on the empirical we except approximately 95% of the distribution to be within two stand; deviations of the mean for a unimodal distribution.Explanation / Answer
a) correlation can only be measured between two quantifiable variables. (number values) An occupation cannot be measured by a number, so there cannot be correlation with that.
b) Correlations only go between -1 and 1.
1.19 is impossible.
c)
Environmental chemicals may or may not be the only reason for the cancer.
d)
For a right skewed distribution, the mean < median
e)
For a bright student, the z-score would turn out to be positive as she would be above the mean and not below the mean scores.
f)
For a large sample, (n > 30) the distribution is not usually skewed
g)
95% of observation lie in the +/- 2 standard deviation of the mean for a normal distribution
Hope this helps.
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