Question

A store manager did a study to determine the amount of money the first 50 customers spent in her store. The data are approximately normally distributed

with a mean of $29.60 and a standard deviation of $10.50. The formula for normalizing data is: Z= (X−μ / σ) Z is the normal score X is a discrete data value μ is the mean σ is the standard deviation Determine the probability that a customer spent over $35. Enter your answer as a decimal to the hundredths place.

Answer 1

Simply input the data given, using the mentioned formula.
X=$35.00
μ=$29.60
σ=$10.50

Z= (X−μ / σ)
^^ This formula is actually wrong though... the correct way to write it is:

Z= (X−μ) / σ
Z=(35.00-29.60)/10.50
Z=5.4/10.50
Z=0.51