Bell_Ringer_Lesson_2

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Florida International University *

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Statistics

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Jan 9, 2024

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docx

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Do You Have 5 Seconds? In the stopwatch task from the previous lesson, you tried to stop as close to 5 seconds as possible. Last year the distribution of times for this task was approximately normal, with a mean of 5.02 seconds and a standard deviation (SD) of 0.10 seconds. 1. Label the values that are 1, 2, and 3, standard deviations (SD) away from the mean. 2. What value is 1 SD below mean? ____4.92___ What value is 1 SD above mean? ___5.12____ Estimate the percent of values within 1 SD of the mean: ____65%__ 3. What value is 2 SD below mean? ___4.82____ What value is 2 SD above mean? ___5.22____ Estimate the percent of values within 2 SD of the mean: ____95%___ 4. What value is 3 SD below mean? ___5.32____ What value is 3 SD above mean? ___4.72___ Estimate the percent of values within 3 SD of the mean: ____97.5%__ 5. Use the “Normal Distributions” applet at www.statsmedic.com/applets to find: Actual percent of values within 1 SD of the mean: __68%_____ Actual percent of values within 2 SD of the mean: ____95%____ Actual percent of values within 3 SD of the mean: ____99.7%____ 6. What percent of the stopwatch times are less than 4.82 seconds? 2.5% 7. What proportion of the stopwatch times are between 4.92 and 5.22 seconds? 81.9 8. What stopwatch time is at the 84 th percentile of the distribution?
4.72s and 5.12s Lesson 2.4 – The Empirical Rule and Assessing Normality
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