Worksheet 10.1 DS 123 Name Suppose women's athletic shoes have a mean price of $75.15 and a standard deviation of $17.89. What is the probability that the mean price of a random sample of 50 pairs of women's athletic shoes will differ from the population mean by less than $5.00, so between $70.15 and $80.15? Are conditions met to use the normal model? Meaning is the sample randomized; does it meet the