You, an expert in statistics, are presented with the following data by a confused student. The population of final exam scores is positively skewed with a mean of 56 and a standard deviation of 14. A random sample of these scores for 49 students, however, was negatively skewed with a mean of 63. You should tell the student.
a. "Your sampling procedure could not have been truly random."
b. "These data are compatible with the normal curve model."
c. "Increase your sample size so the sample data will be normal."
d. "Because z = 0.5, a mean of 63 would be expected quite frequently with repeated sampling."
e. "Never draw a sample of more than 40 observations."
Ans: b
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