Question

The apex of the normal density curve appears as a circle inside opposite pairs of arrows....

The apex of the normal density curve appears as a circle inside opposite pairs of arrows. Click and drag the apex vertically, thus stretching the graph vertically if you drag the apex up and compressing the graph vertically if you drag the apex down. Without changing anything else, observe what happens to the different values reported by the interactive.

As the apex of the normal density curve moves vertically, what happens to the mean and standard deviation?

The mean and the standard deviation do not change.

The mean does not change, but the standard deviation increases as the graph is stretched vertically and decreases as it is compressed vertically.

The standard deviation does not change, but the mean increases as the graph is stretched vertically and decreases as it is compressed vertically.

The standard deviation does not change, but the mean decreases as the graph is stretched vertically and increases as it is compressed vertically.

The mean does not change, but the standard deviation decreases as the graph is stretched vertically and increases as it is compressed vertically.

Homework Answers

Answer #1

ANSWER::

As the apex of normal curve moves vertically, the mean increases when the graph stretched vertically and mean decreases as it compressed vertically. But there is no change in standard deviation.

Ans: 3

The standard deviation does not change, but the mean increases as the graph is stretched vertically and decreases as it compressed vertically.

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