Sketch a normal curve with the following parameters:
(a) Mean of 15 and standard deviation of 2.
(b) Mean of 15 and standard deviation of 3.
(c) Mean of 12 and standard deviation of 2.
(d) Mean of 12 and standard deviation of 3.
(e) Consider two normal curves. If the first one has a larger mean than the second one, must it have a larger standard deviation as well? Explain your answer.
Yes. The values of μ and σ are independent.
Yes. As μ increases, σ must also increase.
No. As μ increases, σ will decrease.
No. The values of μ and σ are independent.