2. San Jose State students are supposed to take 12 units on average each semeste

Question

2. San Jose State students are supposed to take 12 units on average each semester. Last semester, 300 randomly selected SJSU seniors were contacted and asked how many units they were currently enrolled in. (b) What do you think is the population parameter of interest? How could one compute a sample estimate of this population parameter? (c) Under which circumstances would it be reasonable to assume that the average number of units taken each semester (across students and courses) computed from the responses is normally distributed?

Explanation / Answer

(a) population : senior students of SJSU and

sample:300 sernoir students SJSU who were contacted

(b) population parameter is number of units taken in each semester i.e. on average each students take number of units in each semester.

(c) sample should be sufficently large ( more than 30) and it should of random.

The central limit theorem states that if you have a population with mean and standard deviation and take sufficiently large random samples from the population with replacement , then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large (usually n > 30).

here we take average of number of units taken by 300 seniors of SJSU and this average will be estimate of population parameter

(c)

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