Question

Question content area top part 1 a set of data items is normally distributed with a mean of 60 and a standard deviation of 2. convert 63 to a​ z-score.

Answer 1

To convert the value 63 to a z-score with a mean of 60 and a standard deviation of 2, the formula z = (x - µ) / σ is used, resulting in a z-score of 1.5.

Step-by-step explanation:

The question asks to convert the data item 63 into a z-score given that the set of data items is normally distributed with a mean of 60 and a standard deviation of 2. To calculate the z-score, the formula is z = (x - µ) / σ, where x is the data item, µ is the mean, and σ is the standard deviation.

For the given data item of 63:

z = (63 - 60) / 2

z = 3 / 2

z = 1.5

Therefore, the z-score for a data item of 63 is 1.5. This means that 63 is 1.5 standard deviations above the mean.