Monday February 24 Notes – Section 6.2 PART 1 Standard Units and Areas Under the Standard Normal Distribution Homework due Tuesday: A#6.21 pages 256 – 258 # even

After this section, you will be able to: 1. Convert raw data to z scores; 2. Convert z scores to raw data; 3. Graph the standard normal distribution and find areas under the standard normal curve.

…causes difficulties when computing the ______________ under the curve in a specified interval of x values

The z value or z score give the number of _____________________________ between the _____________________ measurement x and the ____________________of the x distribution. x Values and Corresponding z Values X Value in Original Distribution Corresponding z Value or Standard Unit

Little Bambinos pizza franchise specifies that the average amount of cheese on a large pizza should be 8 ounces and the standard deviation only 0.5 ounce. An inspector picks out a large pizza at random in one of the pizza parlors and finds that it is made with 6.9 ounces of cheese. Assume that the amount of cheese on a pizza follows a normal distribution. If the amount of cheese is below the mean by more than three standard deviations, the parlor will be in danger of losing its franchise. How many standard deviations from the mean is 6.9? Is the pizza parlor in danger of losing its franchise?

Given an x distribution with __________ and ____________________________, the raw score x corresponding to a z score is:

Rod figures that it takes an average (mean) of 17 minutes with a standard deviation of 3 minutes to drive from home, park the car, and walk to an early-morning class. A. One day it took Rod 21 minutes to get to class. How many standard deviations from the average is that? Is the z value positive or negative? Explain why is should be either positive or negative.

Pages A22 and A23 in your text Left-tail style table

Insert table 6-3 Insert fig 6.16

Insert fig 6.17 Insert table 6-4

Looking at Table 5 in Appendix II: a.As z values increase, do the areas to the left of z increase? b.If a z value is negative, is the area to the left of z less than ? c.If a z value is positive, is the area to the left of z greater than ?

Hints: Round or format z values to 2 decimal places before using the table Treat any area to the left of a z value smaller than as Treat any area to the right of a z value greater than 3.49 as 1.000

Insert fig 6-18

Tuesday February 25 Warm-up – Page 257 #9 Check in and go over A#6.21 Notes – Section 6.2 – PART 2 Probabilities associated with the Standard Normal Distribution Homework due Wednesday: A#6.22 pages 256 – 258 #1-7 all; even