211+HW+5+Practice+Solution+Guide

# 211+HW+5+Practice+Solution+Guide - So Far Questions about...

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Issue: Time (minutes) to do a task. Time (minutes) to do a task. Time (minute BusQues: Is mean time less than 100? Is mean time not 100? Is mean time Data: Random sample n = 50 Random sample n = 50 Random samp x-bar = x-bar = s = s = Normal Test for Mean Normal Test for Mean t-Test 1.Hypotheses: Ho: mu = 100 Ho: mu >= 100 Ho: mu >= 50 Ha: mu < 100 Ha: mu < >100 Ha: mu < 50 2.Test Statistic: 1 - x-bar 1 - x-bar 1 - t = (x-bar - 3.Signif Level: alpha = 0.05 alpha = 0.05 alpha = 0.05 4.Reject Rule: 5.Calculatiions: 1 - x-bar = 97.14 1 - x-bar = 105.0 1 - x-bar = s = 2 - p-value = 0.022 2 - p-value = 0.0004 t = 2 - p-value = 6.Conclusion: Reject Ho Reject Ho Reject Ho Sample Results: Sample Results: Sample Results 95.1 99.4 40.3 97.3 111.3 40.4 96.1 92.3 61.4 86.5 107 49.3 92.4 100.2 35.4 97 106 39 79.1 110.5 37 103 112.5 58.4 81.2 104.2 41.4 100.8 108.8 37.1 95.6 95.5 41.1 98.3 106.2 48.9 81.2 105.8 59 89.8 116.5 37.9 88.7 97.4 51.1 106.2 111.9 36.3 81.9 110.9 46.8 93.4 93.6 32.5 82.9 119 45.4 97.8 108.7 54.7 104.6 94.6 58.5 So Far - Questions about the mean ( μ ) of some property or measure for a whole busi stdev of all times = 10 stdev of all times = 10 Analysis: Name of Test? 2 - If Ho true, will be Normal with mean = 100 & std err = 10/50^.5 2 - If Ho true, will be Normal with mean = 100 & std err = 10/50^.5 2 - If Ho true, w distributed with Reject Ho if x-bar < 97.67

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