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Section 8.1 Homework Question 5
Section 8.1 Homework
5. Consider a random variable X that is normally distributed. Complete parts (a) through (d) below.
(This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.)
(a) If a random variable X is normally distributed, what will be the shape of the distribution of the sample mean?
- Skewed right
- Normal
- Skewed left
- Cannot be determined
(b) If the mean of a random variable X is 35, what will be the mean of the sampling distribution of the sample mean?
(c) As the sample size n increases, what happens to the standard error of the mean?
- The standard error of the mean remains the same.
- The standard error of the mean decreases.
- The standard error of the mean increases
(d) If the standard deviation of a random variable X is 15 and a random sample of size n=17 is obtained, what is the standard deviation of the sampling distribution of the sample mean?