RES342+week1+-+June+5+2010

# RES342+week1+-+June+5+2010 - RES/342 RES/342 Business...

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Unformatted text preview: RES/342 RES/342 Business Business Research and Research and Evaluation II Evaluation II Week 1 Week 1 RES342 • Welcome Back • Hypothesis testing • Population and Samples used in research • Analysis of Variance (ANOVA) and Nonparametric tests in research • Regression analysis in research • Business research in the modern environment Week 1 Objectives Week 1 Objectives • Normal Distribution review Normal Distribution review • Identify the formal hypothesis testing Identify the formal hypothesis testing process. process. • Perform a hypothesis test of one Perform a hypothesis test of one proportion. proportion. • Perform a hypothesis test of one Perform a hypothesis test of one population mean using the standard population mean using the standard normal distribution. normal distribution. • Interpret the results of hypothesis tests. Interpret the results of hypothesis tests. Bell-Shaped (Normal) Curve Normal Distribution • The z-score • Tells us how many standard deviations there are between the selected score and the mean • Determines how far, in terms of the standard deviations, a given score is from the mean. The Normal Distribution • Steps for Finding a Probability Corresponding to a Normal Random Variable – Sketch the distribution, locate mean, shade area of interest – Convert to standard z values using – Add z values to the sketch – Use tables or Excel to calculate probabilities, making use of symmetry property where necessary σ μ- = x z A normal curve is symmetric about the mean. Each of the two shaded areas is .5 or 50% .5 .5 μ x Example Find the area under the standard normal curve between z = 0 and z = 1.95. z .00 .01 … .05 … .09 0.0 0.1 0.2 . 1.9 . . 3.0 .0000 .0398 .0793 . .4713 . . .4987 .0040 .0438 .0832 . .4719 . . .4987 … … … … … … … … .0199 .0596 .0987 . .4744 . . .4989 … … … … … … … … .0359 .0753 .1141 . .4767 . . .4990 Required area Area between z = 0 to z = 1.95. 0 1.95 Shaded area is .4744 z Microsoft Word Document Example -2 Find the area under the standard normal curve from z = -2.17 to z = 0. • Because the normal distribution is symmetric about the mean, the area from z = -2.17 to z = 0 is the same as the area from z = 0 to z = 2.17. • Area from -2.17 to 0 = P (-2.17≤ z ≤ 0) = .4850 Area from z = 0 to z = 2.17 equals area from z = -2.17 to z = 0. Because the symmetry the shaded areas are equal -2.17 0 z 0 2.17 z Area Under the Standard Normal Curve from z = 0 to z = 2.17 z .00 .01 … .07 … .09 0.0 0.1 0.2 ....
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