SOLUTION: From a population which can only be approximated by a normal distribution, a sample of [n=25 elements] is selected and the standard deviation of the sample is computed. For the int

Question 867794: From a population which can only be approximated by a normal distribution, a sample of [n=25 elements] is selected and the standard deviation of the sample is computed. For the interval estimation of the population mean, the proper distribution to use is the:
a. Normal distribution
b. T distribution
c. T distribution with 25 degrees of freedom
d. T distribution with 24 degrees of freedom
e. None of the above

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Some books vary (since it's not a hard fast rule), but in most cases I've seen that you use the t distribution if you don't know the population standard deviation and n <= 30.

Since n <= 30 is true and we don't know population standard deviation, we use the t distribution.

The degrees of freedom would be n-1 = 25-1 = 24.

So the answer is d. T distribution with 24 degrees of freedom
RELATED QUESTIONS
Which of the following is true and applicable of the Central Limit Theorem? Check all... (answered by stanbon)

Assume a simple random sample is taken, the conditions for a binomial distribution are... (answered by ewatrrr)

1. A simple random sample is taken from a normal population. Choose the one statement... (answered by Boreal)

2. A simple random sample is taken from a left-skewed population. Choose the one... (answered by CPhill)

the population of current statistics student has ages with mean u and standard deviation... (answered by stanbon)

a.) A population has a normal distribution. A sample of size 94 is selected from this... (answered by stanbon)

Could you please help me to solve this part question. Must show work. A... (answered by stanbon)

We have been using the normal distribution to approximate situations that are, in fact,... (answered by Boreal)

We have been using the normal distribution to approximate situations that are, in fact,... (answered by yurtman)