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 <10% of population rule & is the sample size large enough? | Randomization: 10% Condition: Large Enough Sample Condition: Step 1 What is your event of interest? 0.9523 Step 2 Calculate the mean of the resulting sampling distribution, µy? Step 3 Calculate the standard deviation of the sampling distribution? Step 4 What is shape of the sampling distribution of sample mean, y? How do you know? Step 5 Plot the variables on the diagram and shade the area under the curve Step 6 Calculate the z-score Step 7 Write the final probability