418-SingleSampleT-ExtraPractice

418-SingleSampleT-ExtraPractice - Individual Scores 12 15 ?...

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1 The t-statistic: single sample (chapter 7) Assumptions of Single Sample t-test Random selection of observations Independent observations within the sample Normally distributed population Interval or ratio data T-test Extra Practice We have a random sample of 20 fifth grade pupils who can do 15 pushups on the average, with a standard deviation of 9, after completing a special physical education program. Does this value of 15 differ significantly from the population value of 12?
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2 Single Sample t-test (pushups) Given: Population = All 5th graders Population Mean Pushups = 12 Population SD = UNKNOWN Our sample n = 20 Sample Mean Pushups = 15 Sample SD = 9 State Hypotheses: H a : X sample > μ population H 0 : X sample μ population Comparing a Sample to the Population
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Unformatted text preview: Individual Scores 12 15 ? 9 The Sampling Distribution Number of Samples = n of Samples = n of sample being tested (20) Sample Means 3 Comparing a Sample to the Population Rejection Region (p=.025) probability of Type I error = 2.5% H a : Sample belongs to a different population (i.e., X or X > ) H : Sample belongs to the same population (i.e., X = ) Comparing a Sample to a Population with Unknown Variance t = (15 - 12) / 2.01 = 3 / 2.01 = 1.49 s X = s / = 9 / 4.47 = = 2.01 Rejection Region (p=.025) probability of Type I error = 2.5% 2.093 1.49 H a : Sample belongs to a different population (i.e., X > ) H : Sample belongs to the same population (i.e., X = ) t = X - s X...
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418-SingleSampleT-ExtraPractice - Individual Scores 12 15 ?...

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