We want to study students final grade in STAT 401 at Penn State since 2010. We c

Question

We want to study students final grade in STAT 401 at Penn State since 2010. We collected final grades of 282 students from last semester and 59 students from this semester. In total, there are 167 girls, and 144 of them are from last semester.

a) What is the population? What is the sample?

b) What is the sample proportion of female students in the sample?

c) What is the sample proportion of male students this semester?

d) Can you draw conclusion female stiudents prefer STAT 401 rather than male? Why?

Explanation / Answer

a) All students since 2010 in STAT 401 at Penn state is population

Sample is the selected students of 282 + 59 = 341 students

b) sample proportion of female students p= 167/341 = 0.4897

c) SAmple proportion of male students q =1-p = 0.5103

d) No we cannot draw conclusion that female students prefer STAT 401 rather than male, because the proportion of male and female are very close to each other.

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