PPT-Get out your HW!!!! Standard Normal Calculations

Section 22 What should we do if we need to compare two normal distributions with different means and standard deviations Sometimes we need to compare distributions that are Normal and have different means and standard deviations In order to do this we need to . Normal distributions show up all over the place.. The standard normal distribution. The standard normal distribution is a . continuous distribution.. It has a mean of 0 and a standard deviation of 1. The Standard Deviation as a Ruler and the Normal Model. AP Statistics. The trick in comparing very different-looking values is to use . standard deviations. as our rulers.. The standard deviation tells us how the whole collection of values varies, so it’s a natural ruler for comparing an individual to a group.. If the test average for your class is 78 with a standard deviation of 5, what would your z-score be if you made an 88?. Chapter 6 part 2. The normal model. Standardizing values means we shift the data to fit a normal model (bell-shaped curve).. Objectives:. For variables with relatively normal distributions:. Students should know the approximate percent of observations in a set of data that will fall between the mean and ± 1 . sd. , 2 . sd. Prob. 1. A sample of 20 cigarettes is tested to determine nicotine content and the average value observed was 1.2 mg. Compute a 99 percent two-sided confidence interval for the mean nicotine content of a cigarette if it is known that the standard deviation of a cigarette’s nicotine content is σ = 0.2 mg.. Mrs. Aldous, Mr. . Beetz. & Mr. Thauvette. DP SL Mathematics. Normal Distribution. You should be able to…. Describe the properties of a normal distribution with mean and standard deviation . The Normal Curve, Skewness, Kurtosis, and Probability. VON CHRISTOPHER G. CHUA, LPT, MST. Affiliate, ESSU-Graduate School. MAED 602: STATISTICAL METHODS. Session Objectives. In this fraction of the course on Statistical Methods, graduate students enrolled in the subject are expected to do the following:. State:. Express the problem in terms of the observed variable . x. .. Plan:. Draw a picture of the distribution and shade the area of interest under the curve.. Do:. Perform calculations.. Standardize. . and Exponential Distributions. 5. Introduction. Several specific distributions commonly occur in a variety of business situations:. N. ormal distribution—a continuous distribution . characterized . . and Exponential Distributions. 5. Introduction. Several specific distributions commonly occur in a variety of business situations:. N. ormal distribution—a continuous distribution . characterized . Section 2.2. Normal Distributions. After this section, you should be able to…. DESCRIBE and APPLY the 68-95-99.7 Rule. DESCRIBE the standard Normal Distribution. PERFORM Normal distribution calculations. Remark: Re = , also a linear combination of the yi's, hence É 5) The sum of the coefficients in (4) is = = = 1. Sampling distrib (linear mean function) ¥ V (independence) The new assumptio Remark Re also a linear combination of the yis hence 5 The sum of the coefficients in 4 is 1 Sampling distrib linear mean function Vindependence The new assumption means we can consx1 Dehaish. Outlines. Normal distribution. Standard normal distribution . Find probability when known z score . Find z score from known areas . Conversion to Standard normal distribution.. Sampling distribution of sample mean .