Is this statement true or false?"Any General Normal curve can be rescaled into the Standard Normal curve."

The statement is true.

Here are the steps to explain why:

1. The General Normal curve, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. It is defined by two parameters: the mean (μ) and the standard deviation (σ).

2. The Standard Normal curve is a special case of the General Normal curve where the mean (μ) is 0 and the standard deviation (σ) is 1.

3. Any General Normal curve can be transformed into a Standard Normal curve through a process called standardization.

4. Standardization involves subtracting the mean (μ) from each data point (x), and then dividing the result by the standard deviation (σ). The formula is Z = (X - μ) / σ.

5. The resulting Z-scores will have a mean of 0 and a standard deviation of 1, which is the definition of a Standard Normal curve.

6. Therefore, any General Normal curve can indeed be rescaled into the Standard Normal curve.