Question

The distribution of the prices of new phone is positively skewed with a long tail to the right, in a random sample of people who have purchased a new phone, a mean and standard deviation price of a new phone is reported to be $400 and $50 respectively. If all the prices are converted to z score, what is the shape of the Z sore distribution?

Answer 1

The distribution of the prices of new phone is positively skewed with a long tail to the right, in a random sample of people who have purchased a new phone, a mean and standard deviation price of a new phone is reported to be $400 and $50 respectively.

Here the the distribution of the price of new phone is positively skewed.

NOTE:

The shape of the z-score distribution will be exactly the same as the distribution from which it arose. That is, if the original distribution is positively skewed, the z-score distribution will also be positively skewed. However, all z-score distributions will have a mean of 0 and a standard deviation of 1

Therefore shape of Z score distribution is POSITIVELY SKEWED.