1. assume that a set of raw scores are normally distributed with u = 120 and o= 40. describe
the sampling distribution of the mean for each of the following sample sizes (note: a normal
distribution can be described by its mean and standard deviation.)
a. n=25
b. n= 100
c. n= 400
2. what happens to the standard error of the mean as your sample size gets larger? why?
3. a certain odd member of the unh faculty wants to know if the average age of students at
unh is different from the national average of college students. somehow, he learns that the
average age of college students is normally distributed with u = 23 and o = 8. he samples the
ages of 36 unh students and finds an average age of 20.5. assume a = .05. state your null and
alternative hypotheses. is he right?
4. now assume he only wants to know if unh students are younger than the national average.
redo problem 3.