Class Notes (839,081)
United States (325,765)
Statistics (75)
STAT 301 (55)
Lecture

# Z-scores

4 Pages
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Department
Statistics
Course Code
STAT 301
Professor
Brett Hunter

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Description
26 August Example! 1 2 3 4 5 X 73 70 70 74 72 x 71.8 71.8 71.8 71.8 71.8 X – x 1.2 -1.8 -1.8 2.2 0.2 (x - x )2 1.44 3.24 3.24 4.84 0.04 73+70+70+74+72 Mean = 5 = 71.8 inches ∑ (x−x )2 1.44+3.24+3.24+4.84+0.04 S = n−1 = 4 = 3.2 in 3.2 S = √ = 1.789 in Briefly describe the target population. Men in this section of STAT 301 Briefly describe the sampled population (assume 100% attendance for today) Men in this section of STAT 301 Obviously, this data set is not census data. In 1 or 2 sentences, describe why it’s not. The data set does not include the height of every man in this section, not everyone in the population was sampled. The variable of interest is height. The variable in this study can be classified as Numeric Continuous The parameter of interest in this setting is true average height of men in this section of STAT 301 Now, consider that all of the men were wearing skis and boots when they were “measured”. In order to eliminate this bias you need to subtract 3 inches from each response. 70+67+67+71+69 344 x = = = 68.8 in 5 5 2 2 2 2 2 (70−68.8) +(67−68.8) +(67−68.8) +(71−68.8) +(69−68.8) S = 4 = 3.2 in2 S = 1.789 in What can you conclude about the effects of subtraction (or addition) of a constant has on these sample stats? The variance and standard deviation do not change at all, but we would subtract (or add) the constant to our mean to get the new mean. Lastly, convert the original heights for the men from inches to centimeters. 1 in = 2.5 cm 1 2 3 4 5 X 73 70 70 74 72 X* 132.5
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